Advertisements
Advertisements
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.

Advertisements
Solution
The triangles are congruent by the SAS Test under the correspondance XWZ ↔ YWZ.
RELATED QUESTIONS
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to `bar(EF)`
CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ΔBCE.
Which of the following is not a criterion for congruence of triangles?
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test
ΔXYZ ≅ ΔLMN
In the given figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ΔABD ≅ ΔCBD.

In a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.
In ΔABC and ΔPQR and, AB = PQ, BC = QR and CB and RQ are extended to X and Y respectively and ∠ABX = ∠PQY. = Prove that ΔABC ≅ ΔPQR.

Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles
The congruent figures super impose each other completely.
