head 1.1; access; symbols; locks; strict; comment @# @; 1.1 date 2018.03.14.15.44.15; author root; state Exp; branches; next ; desc @This document (2.1 चतुर्भुजों के कोणों के योग का गुणधर्म) is re-created by administrator on 17 May 2017 @ 1.1 log @Initial revision @ text @{ "_id": { "$oid": "59425eb14975ac013bf0f587" }, "_type": "GSystem", "access_policy": "PUBLIC", "altnames": "2.1 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094b\u0923\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u093e \u0917\u0941\u0923\u0927\u0930\u094d\u092e", "annotations": [], "attribute_set": [], "author_set": [ 1 ], "collection_set": [], "comment_enabled": null, "content": "GEOMETRIC REASONING\u200b\n
\u0915\u093e\u0930\u094d\u092f 1
\n\n\u090f\u0915 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u092c\u0928\u093e\u090f\u0902 \u0914\u0930 \u0909\u0938\u0915\u0947 (\u0906\u0902\u0924\u0930\u093f\u0915) \u0915\u094b\u0923\u094b\u0902 \u0915\u094b \u092e\u093e\u092a\u0947\u0902\u0964 \u0909\u0928\u094d\u0939\u0947\u0902 \u0928\u0940\u091a\u0947 \u0926\u0940 \u0917\u0908 \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u0926\u0930\u094d\u091c \u0915\u0930\u0947\u0902\u0964
\n
\n\u0928\u094b\u091f: \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0917\u0924\u093f\u0935\u093f\u0927\u093f \u0906\u092a\u0915\u0947 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092a\u0930 \u0907\u0928\u0938\u094d\u091f\u0949\u0932\u094d\u0921 \u0938\u0949\u092b\u093c\u094d\u091f\u0935\u0947\u092f\u0930 \u091c\u093f\u092f\u094b\u091c\u0947\u092c\u094d\u0930\u093e \u092a\u0930 \u0915\u0930\u0928\u0940 \u0939\u0945
\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
\u0915\u093e\u0930\u094d\u092f 2
\n\n\u0905\u092a\u0928\u0947 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0906\u092a\u0915\u0940 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0905\u0928\u094d\u092f \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0915\u0930\u0947\u0902\u0964
\n\u0915\u094d\u092f\u093e \u0935\u0947 \u0938\u092d\u0940 \u090f\u0915 \u0938\u0947 \u0926\u093f\u0916\u093e\u0908 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902?
(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
\n\n
\n\u0915\u094d\u092f\u093e \u0906\u092a \u0938\u092d\u0940 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u0915\u094b\u0908 \u0916\u093e\u0938 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e/ \u0928\u093f\u092f\u092e\u093f\u0924\u0924\u093e \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902? \u0905\u092a\u0928\u0947 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u094b \u0905\u0928\u0941\u092e\u093e\u0928 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093f\u0916\u0947\u0902 :
\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
\n
\n
\u0915\u093e\u0930\u094d\u092f 3
\n\n\u0915\u093e\u0930\u094d\u092f 2 \u092e\u0947\u0902 \u0926\u0947\u0916\u0940 \u0917\u0908 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e (\u092a\u0948\u091f\u0930\u094d\u0928) \u0915\u094b \u0927\u094d\u092f\u093e\u0928 \u092e\u0947\u0902 \u0930\u0916\u0947\u0902\u0964
\ni) \u0915\u094d\u092f\u093e \u0906\u092a \u0938\u092e\u091d\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092f\u0939 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e \u0938\u092d\u0940 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u092a\u093e\u0908 \u091c\u093e\u090f\u0917\u0940?
\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
\n
ii) \u0915\u094d\u092f\u094b\u0902 \u0905\u0925\u0935\u093e \u0915\u094d\u092f\u094b\u0902 \u0928\u0939\u0940\u0902?
\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
\u0915\u093e\u0930\u094d\u092f 4
\n\n\u090f\u0915 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u092c\u0928\u093e\u090f\u0902 \u0914\u0930 \u0909\u0938\u0915\u093e \u090f\u0915 \u0935\u093f\u0915\u0930\u094d\u0923 \u0916\u0940\u0902\u091a\u0947\u0902\u0964 \u092c\u093f\u0928\u093e \u092e\u093e\u092a\u0947, \u0915\u094d\u092f\u093e \u0906\u092a \u092c\u0924\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0907\u0938 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0906\u0902\u0924\u0930\u093f\u0915 \u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0917\u093e? \u0905\u092a\u0928\u0947 \u0915\u093e\u0930\u0923 \u092c\u0924\u093e\u090f\u0902\u0964
\n\n\u0928\u094b\u091f: \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0917\u0924\u093f\u0935\u093f\u0927\u093f \u0906\u092a\u0915\u0947 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092a\u0930 \u0907\u0928\u0938\u094d\u091f\u0949\u0932\u094d\u0921 \u0938\u0949\u092b\u093c\u094d\u091f\u0935\u0947\u092f\u0930 \u091c\u093f\u092f\u094b\u091c\u0947\u092c\u094d\u0930\u093e \u092a\u0930 \u0915\u0930\u0928\u0940 \u0939\u0945
\n
\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
\u0915\u094d\u092f\u093e \u0906\u092a \u0938\u092e\u091d\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092f\u0939 \u0917\u0941\u0923\u0927\u0930\u094d\u092e (\u0906\u0902\u0924\u0930\u093f\u0915 \u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917) \u0938\u092d\u0940 \u0938\u092e\u093e\u0928\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u092a\u093e\u092f\u093e \u091c\u093e\u090f\u0917\u093e? \u0915\u094d\u092f\u094b\u0902 \u0905\u0925\u0935\u093e \u0915\u094d\u092f\u094b\u0902 \u0928\u0939\u0940\u0902?
\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
Draw a quadrilateral ABCD and measure its angles. Record in the table below.
\r\n
\r\n
Compare your quadrilateral with those of the other groups in your class.
\r\n\r\nDo they appear the same?
\r\n\tDo you observe and pattern/regularity across all the quadrilaterals? Write observation in the form of a conjecture:
\r\n\t\r\n ______________________________________________________\r\n\r\n ______________________________________________________\r\n\r\n\r\n\r\n\r\n
Refer to the pattern observed in Task 2.
\r\n\r\nDo you think this pattern will hold true for ALL quadrilaterals?
\r\n\tWhy or why not?
\r\n\t\r\n ______________________________________________________\r\n\r\n
\r\n ______________________________________________________\r\n\r\n\r\n\r\n\r\n
Draw a quadrilateral and join any one of its diagonals. Without measuring, can you say what the sum of the interior angles of this quadrilateral will be? Write your reasons.
\r\n
Do you think this property will hold true for all parallelograms? Why or why not?
\r\n\r\n\r\n______________________________________________________\r\n______________________________________________________\r\n\r\n", "contributors": [ 1 ], "created_at": 1495034639660, "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": [ "hi", "Hindi" ], "last_update": 1521062055323, "legal": { "copyright": "CC-BY-SA 4.0 unported", "license": "HBCSE" }, "location": [], "login_required": null, "member_of": [ { "$oid": "5aa812d5a911a8040e3c7062" } ], "modified_by": 1, "module_set": [], "name": "2.1 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094b\u0923\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u093e \u0917\u0941\u0923\u0927\u0930\u094d\u092e", "origin": [ { "fork_of": { "$oid": "592e6e0569602a015502b315" } } ], "plural": "", "post_node": [], "prior_node": [], "property_order": [], "rating": [], "relation_set": [], "snapshot": { "591b351c69602a01491c7b3f": "1.7", "59425ead4975ac013bf0f54b": "1.8" }, "start_publication": null, "status": "PUBLISHED", "tags": [ "L11" ], "type_of": [], "url": "" }@