head	1.1;
access;
symbols;
locks; strict;
comment	@# @;


1.1
date	2018.03.14.15.44.12;	author root;	state Exp;
branches;
next	;


desc
@This document (1.1 మధ్య-బిందువు అన్వేషణలు) is re-created by administrator on 17 May 2017
@


1.1
log
@Initial revision
@
text
@{
    "_id": {
        "$oid": "59425eaf4975ac013bf0f56b"
    },
    "_type": "GSystem",
    "access_policy": "PUBLIC",
    "altnames": "1.1 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41 \u0c05\u0c28\u0c4d\u0c35\u0c47\u0c37\u0c23\u0c32\u0c41",
    "annotations": [],
    "attribute_set": [],
    "author_set": [
        1
    ],
    "collection_set": [],
    "comment_enabled": null,
    "content": "<pre>\r\n\u0c1c\u0c3f\u0c2f\u0c4b\u0c2e\u0c46\u0c1f\u0c4d\u0c30\u0c3f\u0c15\u0c4d \u0c30\u0c40\u0c1c\u0c28\u0c3f\u0c02\u0c17\u0c4d\r\n</pre>\r\n\r\n<h1>\u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41 \u0c05\u0c28\u0c4d\u0c35\u0c47\u0c37\u0c23\u0c32\u0c41</h1>\r\n\r\n<hr />\r\n<h2>\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02&nbsp;1</h2>\r\n\r\n<hr />\r\n<p>\u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26 \u0c21\u0c3e\u0c1f\u0c4d \u0c2a\u0c47\u0c2a\u0c30\u0c4d \u0c2e\u0c40\u0c26 \u0c35\u0c3f\u0c35\u0c3f\u0c27 \u0c30\u0c15\u0c3e\u0c32\u0c48\u0c28 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c3e\u0c32\u0c28\u0c41 \u0c17\u0c40\u0c2f\u0c02\u0c21\u0c3f. \u0c07\u0c2a\u0c4d\u0c2a\u0c41\u0c21\u0c41 \u0c12\u0c15 \u0c15\u0c4a\u0c24\u0c4d\u0c24 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f\u0c28\u0c3f \u0c38\u0c43\u0c37\u0c4d\u0c1f\u0c3f\u0c02\u0c1a\u0c1f\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c08 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c3e\u0c32\u0c28\u0c4d\u0c28\u0c3f\u0c02\u0c1f\u0c3f (\u0c15\u0c4d\u0c30\u0c2e\u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f\u0c32\u0c4b) \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2d\u0c41\u0c1c\u0c3e\u0c32 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c32\u0c2a\u0c02\u0c21\u0c3f. \u0c2e\u0c4a\u0c26\u0c1f\u0c3f \u0c26\u0c3e\u0c28\u0c3f\u0c28\u0c3f \u0c12\u0c15 \u0c09\u0c26\u0c3e\u0c39\u0c30\u0c23\u0c17\u0c3e \u0c1a\u0c42\u0c2a\u0c3f\u0c02\u0c1a\u0c1f\u0c02 \u0c1c\u0c30\u0c3f\u0c17\u0c3f\u0c02\u0c26\u0c3f.&nbsp;<br />\r\n<br />\r\n\u0c0f\u0c30\u0c4d\u0c2a\u0c21\u0c3f\u0c28 \u0c2a\u0c4d\u0c30\u0c24\u0c3f \u0c15\u0c4a\u0c24\u0c4d\u0c24 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f\u0c28\u0c3f \u0c17\u0c2e\u0c28\u0c3f\u0c02\u0c1a\u0c3f \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c26\u0c3e\u0c28\u0c3f\u0c28\u0c3f \u0c2a\u0c42\u0c30\u0c4d\u0c24\u0c3f \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f: (\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)<br />\r\n<meta charset=\"utf-8\" /><br />\r\n<strong>\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c32\u0c2a\u0c17\u0c3e \u0c35\u0c1a\u0c4d\u0c1a\u0c3f\u0c28 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f \u0c12\u0c15</strong><b><big><var>&nbsp;________</var></big></b><br />\r\n<br />\r\n(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)<br />\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a><br />\r\n<br />\r\n<meta charset=\"utf-8\" /><br />\r\n<img alt=\"me_U05A01Q01_en_img01\" src=\"/media/5/c/c/7f9ed516ac040068bf64112a3c76f0581eb9ee7207574b9b78717621517f4.png\" width=\"800\" /></p>\r\n\r\n<hr />\r\n<h2>\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02&nbsp;2</h2>\r\n\r\n<hr />\r\n<p>\u0c09\u0c26\u0c3e\u0c39\u0c30\u0c23\u0c15\u0c41 \u0c2e\u0c28\u0c02 \u0c12\u0c15 \u0c26\u0c40\u0c30\u0c4d\u0c18 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30 \u0c2d\u0c41\u0c1c\u0c3e\u0c32 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41&nbsp; \u0c05\u0c26\u0c47 \u0c24\u0c30\u0c39\u0c3e\u0c32\u0c4b \u0c15\u0c32\u0c3f\u0c2a\u0c3e\u0c2e\u0c47 \u0c05\u0c28\u0c41\u0c15\u0c41\u0c02\u0c26\u0c3e\u0c02. \u0c0f \u0c06\u0c15\u0c3e\u0c30\u0c02 \u0c2e\u0c40\u0c30\u0c41 \u0c2a\u0c4a\u0c02\u0c26\u0c17\u0c32\u0c30\u0c28\u0c3f \u0c05\u0c28\u0c41\u0c15\u0c41\u0c02\u0c1f\u0c41\u0c28\u0c4d\u0c28\u0c3e\u0c30\u0c41? \u0c26\u0c3e\u0c28\u0c3f\u0c28\u0c3f \u0c17\u0c41\u0c30\u0c3f\u0c02\u0c1a\u0c3f \u0c06\u0c32\u0c4b\u0c1a\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f, \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c2e\u0c40 \u0c05\u0c2d\u0c3f\u0c2a\u0c4d\u0c30\u0c3e\u0c2f\u0c3e\u0c32\u0c28\u0c41 \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c35\u0c46\u0c32\u0c3f\u0c2c\u0c41\u0c1a\u0c4d\u0c1a\u0c02\u0c21\u0c3f:</p>\r\n\r\n<p><strong>\u0c08 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f ________________________________ \u0c2d\u0c41\u0c1c\u0c3e\u0c32 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c32\u0c2a\u0c1f\u0c02 \u0c35\u0c32\u0c28 \u0c0f\u0c30\u0c4d\u0c2a\u0c21\u0c3f\u0c28 \u0c12\u0c15 ___________________________</strong><br />\r\n<br />\r\n(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)<br />\r\n<img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></p>\r\n\r\n<hr />\r\n<h2>\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02&nbsp;3</h2>\r\n\r\n<hr />\r\n<p>\u0c07\u0c2a\u0c4d\u0c2a\u0c41\u0c21\u0c41 \u0c15\u0c4d\u0c30\u0c3f\u0c02\u0c26\u0c3f \u0c21\u0c3e\u0c1f\u0c4d \u0c2a\u0c47\u0c2a\u0c30\u0c4d \u0c2e\u0c40\u0c26 \u0c35\u0c3f\u0c2d\u0c3f\u0c28\u0c4d\u0c28 \u0c26\u0c40\u0c30\u0c4d\u0c18 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c3e\u0c32\u0c41 \u0c17\u0c40\u0c38\u0c3f \u0c2d\u0c41\u0c1c\u0c3e\u0c32 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c32\u0c2a\u0c1f\u0c02 \u0c26\u0c4d\u0c35\u0c3e\u0c30\u0c3e&nbsp; \u0c2e\u0c40 \u0c05\u0c2d\u0c3f\u0c2a\u0c4d\u0c30\u0c3e\u0c2f\u0c3e\u0c32\u0c28\u0c41 \u0c28\u0c3f\u0c30\u0c4d\u0c27\u0c3e\u0c30\u0c3f\u0c02\u0c1a\u0c41\u0c15\u0c4b\u0c02\u0c21\u0c3f.<br />\r\nNOTE: The above activity can be done either on dot paper to be provided by school or on GeoGebra software installed on your computer<br />\r\n<br />\r\n<img alt=\"me_U05A01Q03_en_img02\" src=\"/media/9/c/8/b800a67746ea18c4bfe5c8b3414841ef27aa90073492e375f0958a71438b3.png\" width=\"800\" /></p>\r\n\r\n<p dir=\"ltr\"><br />\r\n<strong>\u0c2e\u0c40&nbsp;\u0c35\u0c3e\u0c26\u0c28\u0c28\u0c41 \u0c28\u0c3f\u0c1c\u0c2e\u0c28\u0c3f/\u0c15\u0c3e\u0c26\u0c28\u0c3f \u0c2e\u0c40\u0c30\u0c41 \u0c0e\u0c02\u0c26\u0c41\u0c15\u0c41 \u0c05\u0c28\u0c41\u0c15\u0c41\u0c02\u0c1f\u0c41\u0c28\u0c4d\u0c28\u0c3e\u0c30\u0c4b \u0c35\u0c3f\u0c35\u0c30\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f</strong><br />\r\n<br />\r\n(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)<br />\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a><br />\r\n&nbsp;</p>\r\n\r\n<hr />\r\n<h2>\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02&nbsp;4</h2>\r\n\r\n<hr />\r\n<p><br />\r\n\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02 3 \u0c06\u0c27\u0c3e\u0c30\u0c02\u0c17\u0c3e \u0c2e\u0c40 \u0c05\u0c2d\u0c3f\u0c2a\u0c4d\u0c30\u0c3e\u0c2f\u0c3e\u0c32\u0c41 \u0c38\u0c30\u0c3f\u0c2f\u0c48\u0c28\u0c35\u0c47\u0c28\u0c3e? \u0c12\u0c15\u0c35\u0c47\u0c33 \u0c15\u0c3e\u0c15\u0c2a\u0c4b\u0c24\u0c47, \u0c35\u0c3e\u0c1f\u0c3f\u0c28\u0c3f \u0c2e\u0c40\u0c30\u0c41 \u0c0e\u0c32\u0c3e \u0c38\u0c35\u0c30\u0c3f\u0c38\u0c4d\u0c24\u0c3e\u0c30\u0c41?</p>\r\n\r\n<pre>\r\n<big>\u200b</big> <b id=\"docs-internal-guid-471a76d8-f546-52d1-3dcb-88282ad082db\">(</b>\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f<b>)</b>\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a>\r\n&nbsp;\r\n</pre>\r\n\r\n<hr />\r\n<h2>\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02&nbsp;5</h2>\r\n\r\n<hr />\r\n<p><br />\r\n\u0c07\u0c2a\u0c4d\u0c2a\u0c41\u0c21\u0c41 \u0c07\u0c24\u0c30 \u0c2a\u0c4d\u0c30\u0c24\u0c4d\u0c2f\u0c47\u0c15 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f\u0c32\u0c41 - \u0c30\u0c3e\u0c02\u0c2c\u0c38\u0c4d \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02 -&nbsp; \u0c2a\u0c48 \u0c2e\u0c40 \u0c05\u0c2d\u0c3f\u0c2a\u0c4d\u0c30\u0c3e\u0c2f\u0c3e\u0c32\u0c28\u0c41 \u0c35\u0c46\u0c32\u0c3f\u0c2c\u0c41\u0c1a\u0c4d\u0c1a\u0c02\u0c21\u0c3f \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c35\u0c3e\u0c1f\u0c3f\u0c28\u0c3f \u0c28\u0c3f\u0c30\u0c4d\u0c27\u0c3e\u0c30\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f. \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c38\u0c4d\u0c25\u0c32\u0c02\u0c32\u0c4b \u0c2e\u0c40 \u0c2e\u0c40 \u0c2a\u0c4d\u0c30\u0c24\u0c3f\u0c2a\u0c3e\u0c26\u0c28\u0c32\u0c28\u0c41 \u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c28\u0c3f\u0c30\u0c4d\u0c27\u0c3e\u0c30\u0c23 \u0c15\u0c4a\u0c30\u0c15\u0c41 \u0c21\u0c3e\u0c1f\u0c4d \u0c17\u0c4d\u0c30\u0c3f\u0c21\u0c4d \u0c28\u0c41 \u0c09\u0c2a\u0c2f\u0c4b\u0c17\u0c3f\u0c02\u0c1a\u0c02\u0c21.<br />\r\nNOTE: The above activity can be done either on dot paper to be provided by school or on GeoGebra software installed on your computer<br />\r\n<br />\r\n<br />\r\n<big>&nbsp;</big><br />\r\n(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)<br />\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a><br />\r\n\u0c2a\u0c4d\u0c30\u0c24\u0c3f\u0c2a\u0c3e\u0c26\u0c28<big><var>&nbsp;1: </var></big></p>\r\n\r\n<pre>\r\n<var>\u200b\r\n\r\n</var>(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a>\r\n</pre>\r\n\r\n<p>\u0c2a\u0c4d\u0c30\u0c24\u0c3f\u0c2a\u0c3e\u0c26\u0c28<big><var>&nbsp;2:</var></big></p>\r\n\r\n<pre>\r\n<big><var>\u200b</var></big><var>\r\n</var><img alt=\"me_U05A01Q03_en_img02\" src=\"/media/9/c/8/b800a67746ea18c4bfe5c8b3414841ef27aa90073492e375f0958a71438b3.png\" width=\"800\" />\r\n\r\n</pre>\r\n\r\n<hr />\r\n<h2>\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02&nbsp;6</h2>\r\n\r\n<hr />\r\n<p>\u0c07\u0c02\u0c24\u0c15\u0c41 \u0c2e\u0c41\u0c02\u0c26\u0c41 \u0c1a\u0c47\u0c38\u0c3f\u0c28 5 \u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c3e\u0c32\u0c32\u0c4b\u0c28\u0c3f \u0c2e\u0c40 \u0c05\u0c2d\u0c3f\u0c2a\u0c4d\u0c30\u0c3e\u0c2f\u0c3e\u0c32\u0c28\u0c41 \u0c24\u0c40\u0c38\u0c41\u0c15\u0c41\u0c02\u0c1f\u0c42, \u0c0f\u0c26\u0c47\u0c28\u0c40 \u0c12\u0c15 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2d\u0c41\u0c1c\u0c3e\u0c32 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c32\u0c2a\u0c1f\u0c02 \u0c26\u0c4d\u0c35\u0c3e\u0c30\u0c3e \u0c0f\u0c30\u0c4d\u0c2a\u0c21\u0c3f\u0c28 \u0c06\u0c15\u0c3e\u0c30\u0c02 \u0c2a\u0c48 \u0c2e\u0c40 \u0c05\u0c2d\u0c3f\u0c2a\u0c4d\u0c30\u0c3e\u0c2f\u0c3e\u0c32\u0c28\u0c41 \u0c35\u0c46\u0c32\u0c3f\u0c2c\u0c41\u0c1a\u0c4d\u0c1a\u0c02\u0c21\u0c3f.</p>\r\n\r\n<pre>\r\n(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a>\r\n<big>\r\n</big><img alt=\"me_U05A01Q03_en_img02\" src=\"/media/9/c/8/b800a67746ea18c4bfe5c8b3414841ef27aa90073492e375f0958a71438b3.png\" width=\"800\" /><big>\r\n</big>\r\n\r\n</pre>\r\n\r\n<hr />\r\n<h2>\u0c35\u0c3f\u0c38\u0c4d\u0c24\u0c30\u0c23 &nbsp;\u0c15\u0c3e\u0c30\u0c4d\u0c2f\u0c02: 1</h2>\r\n\r\n<hr />&nbsp;\r\n<p dir=\"ltr\"><strong>\u0c35\u0c40\u0c32\u0c2f\u0c3f\u0c24\u0c47, \u0c12\u0c15 \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02 \u0c15\u0c3e\u0c28\u0c3f \u0c12\u0c15 \u0c06\u0c15\u0c3e\u0c30\u0c02\u0c32\u0c4b\u0c28\u0c3f \u0c2d\u0c41\u0c1c\u0c3e\u0c32 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41\u0c32\u0c28\u0c41 \u0c15\u0c32\u0c41\u0c2a\u0c41\u0c24\u0c42, \u0c12\u0c15 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c3f\u0c28\u0c3f \u0c17\u0c40\u0c2f\u0c02\u0c21\u0c3f. \u0c12\u0c15\u0c35\u0c47\u0c33 \u0c06\u0c32\u0c3e \u0c38\u0c3e\u0c27\u0c4d\u0c2f\u0c02 \u0c15\u0c3e\u0c15\u0c2a\u0c4b\u0c24\u0c47, \u0c0e\u0c02\u0c26\u0c41\u0c15\u0c41 \u0c05\u0c28\u0c47\u0c26\u0c3f \u0c35\u0c3f\u0c35\u0c30\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f? </strong><br />\r\n<br />\r\n(\u0c35\u0c4d\u0c30\u0c3e\u0c2f\u0c21\u0c3e\u0c28\u0c3f\u0c15\u0c3f \u0c07\u0c15\u0c4d\u0c15\u0c21 \u0c15\u0c4d\u0c32\u0c3f\u0c15\u0c4d \u0c1a\u0c47\u0c2f\u0c02\u0c21\u0c3f)<br />\r\n<a href=\"/59425ead4975ac013bf0f54b/course/notebook/?create=True\" onclick=\"window.open(this.href, '', 'resizable=no,status=no,location=no,toolbar=no,menubar=no,fullscreen=no,scrollbars=no,dependent=no,width=750,left=500,height=750,top=500'); return false;\"><img alt=\"click\" heren=\"\" src=\"/media/7/1/2/3c5e1f84967ec527bd5bebbd2ce3b8208a4a417a1c3c6bb94d2cc0d34130b.svg\" width=\"50\" /></a></p>\r\n",
    "content_org": "<pre>\r\n<span style=\"font-size:12px;\">GEOMETRIC REASONING</span>\r\n</pre>\r\n\r\n<h1>Midpoint Explorations</h1>\r\n\r\n<hr />\r\n<h2>Task 1</h2>\r\n\r\n<hr />\r\n<p><big>On the dot paper below, draw different squares. Join the midpoints of the sides of each of these squares (in order) to create a new quadrilateral. The first one is shown as an example.<br />\r\n<br />\r\nObserve each of the new quadrilaterals formed, and complete the following:</big><br />\r\n<meta charset=\"utf-8\" /><br />\r\n<b id=\"docs-internal-guid-471a76d8-f536-9668-7160-2c2577b272ce\"><big><var>The quadrilateral formed by joining the midpoints of &nbsp;sides of a square is a ________</var></big></b><br />\r\n<img alt=\"L11img1\" src=\"/media/5/c/c/7f9ed516ac040068bf64112a3c76f0581eb9ee7207574b9b78717621517f4.png\" width=\"600\" /></p>\r\n\r\n<hr />\r\n<h2>Task 2</h2>\r\n\r\n<hr />\r\n<p><big>Suppose you were to join the midpoints of sides of a rectangle in a similar fashion. What shape do you think you might get? Think about it, and write your conjecture here:</big><br />\r\n&nbsp;</p>\r\n\r\n<p><var><big><b id=\"docs-internal-guid-471a76d8-f53b-3a82-013d-6a06b20a90c3\">The quadrilateral formed by joining the midpoints of sides of a &nbsp;</b></big></var><br />\r\n<var><big><b id=\"docs-internal-guid-471a76d8-f53b-3a82-013d-6a06b20a90c3\">___________________________________ is a &nbsp;&nbsp;_________________________________</b></big></var><br />\r\n<br />\r\n&nbsp;</p>\r\n\r\n<hr />\r\n<h2>Task 3</h2>\r\n\r\n<hr />\r\n<p><big>Now verify your conjecture by drawing different rectangles on the dot paper below and joining the midpoints of the sides.</big><br />\r\n<img alt=\"L11img2\" src=\"http://clixplatform.tiss.edu/media/9/c/8/b800a67746ea18c4bfe5c8b3414841ef27aa90073492e375f0958a71438b3.png\" width=\"600\" /></p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<blockquote>\r\n<p dir=\"ltr\"><img about=\"\" alt=\"Think\" data-pin-nopin=\"true\" src=\"http://clixplatform.tiss.edu/media/2/0/6/a37928babdc144b4542ec158ff9ea2cbd76dd308047150b26df9840726bab.png\" this=\"\" width=\"40\" />&nbsp;<em>Think about this!</em><br />\r\n<big><b id=\"docs-internal-guid-471a76d8-f541-83d7-279f-d88f289fdd50\">Explain why you think your conjecture is true (or false)</b></big></p>\r\n</blockquote>\r\n\r\n<hr />\r\n<h2>Task 4</h2>\r\n\r\n<hr />\r\n<p><br />\r\n<big>Based on Task 3 does your conjecture hold? If not how would you modify it?</big></p>\r\n\r\n<pre>\r\n<big>\u200b</big> <b id=\"docs-internal-guid-471a76d8-f546-52d1-3dcb-88282ad082db\">__________________________________________________________________________</b> \r\n&nbsp;<b id=\"docs-internal-guid-471a76d8-f546-52d1-3dcb-88282ad082db\">__________________________________________________________________________\r\n\r\n</b>\r\n</pre>\r\n\r\n<hr />\r\n<h2>Task 5</h2>\r\n\r\n<hr />\r\n<p><br />\r\n<big>Now make similar conjectures about other special quadrilaterals - rhombus and parallelogram, &nbsp;and verify them. Write your conjectures in the space provided, and use the dot grid for verifying.&nbsp;<br />\r\n<br />\r\n<var>Conjecture 1:</var></big></p>\r\n\r\n<pre>\r\n<var>\u200b______________________________________________________________________________\r\n\r\n______________________________________________________________________________\r\n\r\n</var></pre>\r\n\r\n<p><big><var>Conjecture 2:</var></big></p>\r\n\r\n<pre>\r\n<big><var>\u200b</var></big><var>\u200b______________________________________________________________________________\r\n\r\n</var><big><var>\u200b</var></big><var>\u200b______________________________________________________________________________\r\n</var><img alt=\"L11img2\" src=\"http://clixplatform.tiss.edu/media/9/c/8/b800a67746ea18c4bfe5c8b3414841ef27aa90073492e375f0958a71438b3.png\" width=\"600\" />\r\n\r\n</pre>\r\n\r\n<hr />\r\n<h2>Task 6</h2>\r\n\r\n<hr />\r\n<p><big>Drawing on your observations in the 5 previous tasks, make a conjecture about the shape formed by joining the midpoints of sides of any &nbsp;quadrilateral.</big><br />\r\n&nbsp;</p>\r\n\r\n<pre>\r\n<big>____________________________________________________________\r\n\r\n____________________________________________________________\r\n\r\n____________________________________________________________\r\n\r\n</big>\r\n</pre>\r\n\r\n<hr />\r\n<h2>Extended Task: 1</h2>\r\n\r\n<hr />&nbsp;\r\n<p dir=\"ltr\"><big><b id=\"docs-internal-guid-471a76d8-f552-3b16-897a-38e5d022aee9\">If possible, draw a quadrilateral, joining whose midpoints of sides in order gives a figure that is NOT a parallelogram. If not possible, explain why.</b></big></p>",
    "contributors": [
        1
    ],
    "created_at": 1495034592971,
    "created_by": 1,
    "featured": null,
    "group_set": [
        {
            "$oid": "59425ead4975ac013bf0f54b"
        }
    ],
    "if_file": {
        "mid": {
            "id": null,
            "relurl": null
        },
        "mime_type": null,
        "original": {
            "id": null,
            "relurl": null
        },
        "thumbnail": {
            "id": null,
            "relurl": null
        }
    },
    "language": [
        "te",
        "Telugu"
    ],
    "last_update": 1521062052036,
    "legal": {
        "copyright": "CC-BY-SA 4.0 unported",
        "license": "HBCSE"
    },
    "location": [],
    "login_required": null,
    "member_of": [
        {
            "$oid": "5aa812d5a911a8040e3c7062"
        }
    ],
    "modified_by": 1,
    "module_set": [],
    "name": "1.1 \u0c2e\u0c27\u0c4d\u0c2f-\u0c2c\u0c3f\u0c02\u0c26\u0c41\u0c35\u0c41 \u0c05\u0c28\u0c4d\u0c35\u0c47\u0c37\u0c23\u0c32\u0c41",
    "origin": [
        {
            "fork_of": {
                "$oid": "5932593769602a0156132625"
            }
        }
    ],
    "plural": "",
    "post_node": [],
    "prior_node": [],
    "property_order": [],
    "rating": [],
    "relation_set": [],
    "snapshot": {
        "591b351c69602a01491c7b3f": "1.7",
        "59425ead4975ac013bf0f54b": "1.5"
    },
    "start_publication": null,
    "status": "PUBLISHED",
    "tags": [
        "L11"
    ],
    "type_of": [],
    "url": ""
}@