From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR Write the remaining congruent parts of the triangles.

Observe the information shown in pairs of triangles 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

∠ABC = ∠PRQ

∴ ΔABC ≅ ΔPQR ……………………____ test

∴ ∠BAC = _____……………………corresponding angles of congruent triangles.

seg AB ≅ ____………………….. corresponding sides of congruent triangles.

____ = seg PR …………………corresponding side of congruent triangles.

Observe the information shown in pairs of triangles 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 ΔPTQ and ΔSTR

∠PTQ = ∠STR ……………………….. vertically opposite angles

seg TQ ≅ seg TR

∴ ΔPTQ ≅ ΔSTR ………………._____ test

∠TPQ ≅ ____ …………………… corresponding angles of congruent triangles.

_____ ≅ ∠TRS ………………….. corresponding angles of congruent triangles.

seg PQ ≅ _____ …………….. corresponding sides of congruent triangles.

As shown in the following figure, in ΔLMN and ΔPMN, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts

In figure 3.24, seg AB ≅ seg CB and seg AD ≅ seg CD.

Prove that ΔABD ≅ ΔCBD