In Fig. 6.33, CM and RN are respectively the medians of ∆ ABC and ∆ PQR. If ∆ ABC ~ ∆ PQR, prove that :

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SAS Similarity Criterion for Triangles, Similarity of Triangles Based on Corresponding Sides and Angles | PadhAiPro

Question

CASE_STUDIESSAS Similarity Criterion for TrianglesSimilarity of Triangles Based on Corresponding Sides and Angles3 sub-questions

△ABC and △PQR are shown in the adjoining figures. The measure of ∠C is :

The measurements of △ LMN and △ ABC are shown in the figure given below. The length of side AC is :

SAS Similarity Criterion for Triangles

Ratio of Corresponding Sides in Similar Triangles

In the given figure, D is a point on the side BC of △ABC such that ∠ADC = ∠BAC. Show that CA² = CD . CB.

In the given figure, OA . OB = OC . OD. Show that ∠A = ∠C and ∠B = ∠D.

In the given figure, PS/SQ = PT/TR and ∠PST = ∠PRQ. Prove that △PQR is an isosceles triangle.

In the given figure, OA × OB = OC × OD, show that ∠A = ∠C and ∠B = ∠D.