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Question
In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.
Solution
The triangles are congruent by the SAS Test under the correspondance XWZ ↔ YWZ.
RELATED QUESTIONS
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
In the given figure, if AB = AC and ∠B = ∠C. Prove that BQ = CP.
Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.
From the information shown in the figure,
In ΔABC and ΔPQR
∠ABC ≅ ∠PQR
seg BC ≅ seg QR
∠ACB ≅ ∠PRQ
∴ ΔABC ≅ ΔPQR ...`square` test
∴ ∠BAC ≅ `square` ...corresponding angles of congruent triangles.
`{:("seg AB" ≅ square),("and" square ≅ "seg PR"):}}` ...corresponding sides of congruent triangles
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∆STU ≅ ∆DEF
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
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