If AD and PM are medians of triangles ABC and PQR respectively where △ABC ~ △PQR, prove that AB/PQ = AD/PM

SAS Similarity Criterion for Triangles, Ratio of Corresponding Sides in Similar Triangles | PadhAiPro

Question

TextSAS Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles

Similar Questions

In the adjoining figure, AP = 1 cm, BP = 2 cm, AQ = 1.5 cm and AC = 4.5 cm. Prove that △APQ ~ △ABC. Hence find the length of PQ, if BC = 3.6 cm.

In △ABC and △PQR, AD and PS are altitudes such that △ABD ~ △PQS and △ACD ~ △PRS. Prove that △ABC ~ △PQR.

Text

AA Similarity Criterion for Triangles

Ratio of Corresponding Sides in Similar Triangles

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

MCQ (Single)Conditions for Similarity of TrianglesSAS Similarity Criterion for Triangles

The corresponding sides of △ABC and △PQR are in the ratio 3 : 5. AD⊥BC and PS⊥QR as shown in the following figures :

CASE_STUDIESBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles

State basic proportionality theorem. Use it to prove the following : If three parallel lines l, m, n are intersected by transversals q and s as shown in the adjoining figure, then AB/BC = DE/EF.

TextBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles

If in two triangles △ DEF and △ PQR, ∠ D = ∠ Q and ∠ R = ∠ E, then which of the following is not true ?

MCQ (Single)AA Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles