Q2 of 45 Page 31

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.

Given: ∠ABC = ∠PQR


BC = QR


∠ABC = ∠PRQ


∴ ΔABC ≅ ΔPQR …………………………ASA test


ASA: angle side angle


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


seg AB = seg PQ ………………….. corresponding sides of congruent triangles.


seg AC = seg PR ………………….. corresponding angles of congruent triangles.


More from this chapter

All 45 →
1

In each of the examples given below, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same signs. Observe the figures and state the test by which the triangles in each pair are congruent.

 1

In each of the examples given below, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same signs. Observe the figures and state the test by which the triangles in each pair are congruent.

 2

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.

 3

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.