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3. Triangles
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Q5 of 45 Page 31

In figure 3.24, seg AB ≅ seg CB and seg AD ≅ seg CD.

Prove that ΔABD ≅ ΔCBD


Given, In ΔABD and ΔCBD


AB = CB


AD = CD


BD = BD ……….[Common]


∴ By SSS congruency test


ΔABD ≅ ΔCBD


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From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR Write the remaining congruent parts of the triangles.

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As shown in the following figure, in ΔLMN and ΔPMN, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts

6

In figure 3.25, ∠P ≅ ∠R seg PQ ≅ seg RQ

Prove that, ΔPQT ≅ ΔPQS


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Find the values of x and y using the information shown in figure 3.37. Find the measure of ∠ABC and ∠ACB.

Questions · 45
3. Triangles
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