Maharashtra State BoardSSC (English Medium) 8th Standard
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In Each Pair of Triangles Given Below, Parts Shown by Identical Marks Are Congruent. State the Test and the One to One Correspondence of Vertices by Which Triangles in Each Pair Are Congruent - Mathematics

Sum

In the triangle given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts.

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Solution

In ∆PRQ and ∆TRS,
side PR ≅ side RT (given)
side QR ≅ side RS (given)
∠PRQ ≅ ∠SRT (vertically opposite angles)
∴ By SAS test, ∆PRQ ≅ ∆TRS.
∴ side PQ ≅ side ST,
∠QPR ≅ ∠STR,
∠PQR ≅ ∠TSR.

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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 13 Congruence of triangles
Practice Set 13.2 | Q 1.2 | Page 87
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