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

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.

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.

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

Prove that ΔABD ≅ ΔCBD

In figure 3.25, ∠P ≅ ∠R seg PQ ≅ seg RQ

Prove that, ΔPQT ≅ ΔPQS