\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><\/p>\n<\/p>\n
(i)\u00a0 \u0394 AEP \u0924\u0925\u093e \u0394 CDP \u092e\u0947\u0902,<\/p>\n
\u2220AEP =\u00a0\u2220CDP\u00a0 (\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 90\u00b0)<\/p>\n
\u2220APE =\u00a0\u2220CPD\u00a0 (\u0936\u0940\u0930\u094d\u0937\u093e\u092d\u093f\u092e\u0941\u0916 \u0915\u094b\u0923)<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 AEP ~ \u0394 CDP<\/p>\n
<\/p>\n
(ii) \u0394 ABD \u0924\u0925\u093e CBE \u092e\u0947\u0902<\/p>\n
\u2220ADB =\u00a0\u2220CEB\u00a0 (\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 90\u00b0)<\/p>\n
\u2220B =\u00a0\u2220B\u00a0\u00a0\u00a0\u00a0 (\u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920)<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 ABD ~ \u0394 CBE<\/p>\n
(iii)\u00a0 \u0394 AEP \u0924\u0925\u093e \u0394 ADB \u092e\u0947\u0902<\/p>\n
\u2220AEP =\u00a0\u2220ADB\u00a0 (\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 90\u00b0)<\/p>\n
\u2220A =\u00a0\u2220A\u00a0\u00a0\u00a0\u00a0 (\u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920)<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 AEP ~ \u0394 ADB<\/p>\n
<\/p>\n
(iv) \u0394 PDC \u0924\u0925\u093e \u0394 BEC \u092e\u0947\u0902<\/p>\n
\u2220PDC =\u00a0\u2220BEC\u00a0 (\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 90\u00b0)<\/p>\n
\u2220C =\u00a0\u2220C\u00a0\u00a0\u00a0\u00a0 (\u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920)<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 PDC ~ \u0394 BEC<\/p>\n
Ex 6.3 Class 10 \u0917\u0923\u093f\u0924\u00a0Q8. \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0940 \u092c\u0922\u093e\u0908 \u0917\u0908 \u092d\u0941\u091c\u093e AD \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 E \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 \u0924\u0925\u093e BE \u092d\u0941\u091c\u093e CD \u0915\u094b F \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f\u00a0<\/strong>\u0394\u00a0<\/strong>ABE<\/strong>\u00a0~ \u0394\u00a0<\/strong>CFB \u0939\u0948 |\u00a0<\/strong><\/p>\n\u0939\u0932:<\/strong><\/p>\n<\/p>\n
\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u0940\u00a0\u092c\u0922\u093e\u0908 \u0917\u0908 \u092d\u0941\u091c\u093e AD \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 E \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 \u0924\u0925\u093e\u00a0BE \u092d\u0941\u091c\u093e CD \u0915\u094b F \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 |<\/p>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0\u0394 ABE ~ \u0394 CFB<\/p>\n\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<\/p>\n\u2220AEB =\u00a0\u2220CBE\u00a0 …. (1) \u090f\u0915\u093e\u0928\u094d\u0924\u0930 \u0915\u094b\u0923<\/p>\n
\u0394 ABE \u0924\u0925\u093e \u0394 CFB \u092e\u0947\u0902,<\/p>\n
\u2220AEB =\u00a0\u2220CBE\u00a0 \u0938\u092e\u0940\u0966 (1) \u0938\u0947<\/p>\n
\u2220A =\u00a0\u2220C\u00a0 (\u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923)<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 ABE ~ \u0394 CFB<\/p>\n
Ex 6.3 Class 10 \u0917\u0923\u093f\u0924\u00a0Q9. \u0906\u0915\u0943\u0924\u093f 6.39 \u092e\u0947\u0902, ABC \u0914\u0930 AMP \u0926\u094b \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948, \u091c\u093f\u0938\u0915\u0947 \u0915\u094b\u0923 B \u0914\u0930 M \u0938\u092e\u0915\u094b\u0923 \u0939\u0948\u0902 | \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f :<\/strong><\/p>\n(i)\u00a0<\/strong>\u0394\u00a0<\/strong>ABC<\/strong>\u00a0~ \u0394\u00a0<\/strong>AMP\u00a0<\/strong><\/p>\n<\/p>\n
\u0939\u0932:<\/strong><\/p>\n\u0926\u093f\u092f\u093e \u0939\u0948<\/strong>\u00a0:\u00a0<\/strong>ABC \u0914\u0930 AMP \u0926\u094b \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948, \u091c\u093f\u0938\u0915\u0947 \u0915\u094b\u0923 B \u0914\u0930 M \u0938\u092e\u0915\u094b\u0923 \u0939\u0948\u0902 |<\/p>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><\/p>\n(i) \u0394 ABC ~ \u0394 AMP<\/p>\n
\n<\/p>\n
\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><\/p>\n(i)\u00a0\u00a0\u00a0\u00a0 \u0394 ABC \u0924\u0925\u093e \u0394 AMP \u092e\u0947\u0902<\/p>\n
\u2220ABC =\u00a0\u2220AMP\u00a0 (\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 90\u00b0)<\/p>\n
\u2220A =\u00a0\u2220A\u00a0\u00a0\u00a0\u00a0 (\u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920)<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 ABC ~ \u0394 AMP<\/p>\n
<\/p>\n
(\u091a\u0942\u0901\u0915\u093f \u0938\u092e\u0930\u0942\u092a \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0938\u0902\u0917\u0924 \u092d\u0941\u091c\u093e\u090f\u0901 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u094b\u0924\u0940\u0902 \u0939\u0948\u0902 |)<\/p>\n
Ex 6.3 Class 10 \u0917\u0923\u093f\u0924\u00a0Q10. CD \u0914\u0930 GH \u0915\u094d\u0930\u092e\u0936:\u00a0<\/strong>\u2220<\/strong>\u00a0ACB \u00a0<\/strong>\u0914\u0930\u00a0<\/strong>\u2220<\/strong>\u00a0EGF<\/strong>\u00a0\u0915\u0947 \u0910\u0938\u0947 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948\u0902 \u0915\u093f \u092c\u093f\u0902\u0926\u0941 D \u0914\u0930 H \u0915\u094d\u0930\u092e\u0936:\u00a0<\/strong>\u0394\u00a0<\/strong>ABC \u0914\u0930\u00a0<\/strong>\u0394<\/strong>FEG \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 AB \u0914\u0930 FE \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 | \u092f\u0926\u093f\u00a0<\/strong>\u0394\u00a0<\/strong>ABC\u00a0<\/strong>~<\/strong>\u0394<\/strong>FEG \u0939\u0948, \u0924\u094b \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f :\u00a0<\/strong><\/p>\n
\n<\/p>\n
(ii) \u0394 DCB ~ \u0394 HGE<\/strong>
\n(iii) \u0394 DCA ~ \u0394 HGF<\/strong><\/p>\n\u0939\u0932:<\/strong><\/p>\n\u0926\u093f\u092f\u093e \u0939\u0948<\/strong>\u00a0:\u00a0<\/strong>CD \u0914\u0930 GH \u0915\u094d\u0930\u092e\u0936: \u2220 ACB \u00a0\u0914\u0930 \u2220 EGF \u0915\u0947 \u0910\u0938\u0947 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948\u0902 \u0915\u093f \u092c\u093f\u0902\u0926\u0941 D \u0914\u0930 H \u0915\u094d\u0930\u092e\u0936: \u0394 ABC \u0914\u0930 \u0394FEG \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 AB \u0914\u0930 FE \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0914\u0930 \u0394ABC ~ \u0394FEG \u0939\u0948 |<\/p>\n<\/p>\n
(\u0938\u092e\u0930\u0942\u092a \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0938\u0902\u0917\u0924 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<\/p>\n
(i)\u00a0\u00a0\u00a0\u00a0 \u0394 ABC \u0924\u0925\u093e \u0394 AMP \u092e\u0947\u0902<\/p>\n
(ii) \u00a0\u0394 DCB \u0924\u0925\u093e \u0394 HGE \u092e\u0947\u0902,<\/p>\n
\u2220B = \u2220E\u00a0 \u0938\u092e\u0940\u0966 (2) \u0938\u0947<\/p>\n
\u2220BCD = \u2220EGH\u00a0 [\u091a\u0942\u0901\u0915\u093f \u00a0\u00bd\u2220C = \u00bd\u2220G \u0938\u092e\u0940\u0966 (3) \u0938\u0947 ]<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 DCB ~ \u0394 HGE<\/p>\n
(iii) \u0394 DCA \u0924\u0925\u093e \u0394 HGF \u092e\u0947\u0902
\n\u2220A = \u2220F\u00a0 \u0938\u092e\u0940\u0966 (1) \u0938\u0947<\/p>\n
\u2220ACD = \u2220FGH\u00a0 [\u091a\u0942\u0901\u0915\u093f \u00a0\u00bd\u2220C = \u00bd\u2220G \u0938\u092e\u0940\u0966 (3) \u0938\u0947 ]<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394 DCA ~ \u0394 HGF \u00a0\u00a0Proved<\/strong><\/p>\nEx 6.3 Class 10 \u0917\u0923\u093f\u0924\u00a0Q11.<\/strong>\u00a0\u0906\u0915\u0943\u0924\u093f\u00a0<\/strong>6.40\u00a0<\/strong>\u092e\u0947\u0902<\/strong>, AB = AC\u00a0<\/strong>\u0935\u093e\u0932\u0947<\/strong>,\u00a0<\/strong>\u090f\u0915 \u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u00a0<\/strong>ABC\u00a0<\/strong>\u0915\u0940 \u092c\u0922\u093e\u0908 \u0917\u0908 \u092d\u0941\u091c\u093e\u00a0<\/strong>CB<\/strong>\u00a0\u092a\u0930 \u0938\u094d\u0925\u093f\u0924\u00a0<\/strong>E\u00a0<\/strong>\u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u00a0<\/strong>|\u00a0<\/strong>\u092f\u0926\u093f\u00a0<\/strong>AD\u00a0\u22a5\u00a0BC\u00a0<\/strong>\u0914\u0930\u00a0<\/strong>EF\u00a0\u22a5\u00a0AC\u00a0<\/strong>\u0939\u0948 \u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f\u00a0<\/strong>\u0394<\/strong>ABD ~\u00a0<\/strong>\u0394<\/strong>ECF\u00a0<\/strong>\u0939\u0948\u00a0<\/strong>|<\/strong><\/p>\n\u0939\u0932:<\/strong><\/p>\n\u0926\u093f\u092f\u093e \u0939\u0948<\/strong>\u00a0:\u00a0<\/strong>AB = AC \u0935\u093e\u0932\u0947, \u090f\u0915 \u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092c\u0922\u093e\u0908 \u0917\u0908 \u092d\u0941\u091c\u093e CB \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 E \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 AD\u00a0\u22a5\u00a0BC \u0914\u0930 EF\u00a0\u22a5\u00a0AC \u0939\u0948<\/p>\n<\/p>\n
\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><\/p>\n\u0394ABD ~ \u0394ECF<\/p>\n
\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><\/p>\n\u0394ABC \u092e\u0947\u0902,<\/p>\n
AB = AC \u0926\u093f\u092f\u093e \u0939\u0948;<\/p>\n
\u2234 \u2220B = \u2220C\u00a0\u00a0\u00a0 ……… (1) (\u092c\u0930\u093e\u092c\u0930 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923 ….)<\/p>\n
\u0905\u092c, \u0394ABD \u0924\u0925\u093e \u0394ECF \u092e\u0947\u0902<\/p>\n
\u2220ADB = \u2220EFC (\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 90\u00b0)<\/p>\n
\u2220B = \u2220C\u00a0\u00a0\u00a0 \u0938\u092e\u0940\u0966 (1) \u0938\u0947<\/p>\n
A.A \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0915\u0938\u094c\u091f\u0940 \u0938\u0947<\/p>\n
\u0394ABD ~ \u0394ECF \u00a0\u00a0\u00a0Proved<\/p>\n
Ex 6.3 Class 10 \u0917\u0923\u093f\u0924\u00a0Q12<\/strong>.\u00a0<\/strong>