The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion

Question

s344n2d4d5 [400]

3 years ago

6

The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion

is .

Mathematics

2 answers:

snow_lady [41] · Answer 1 · 2022-05-03T13:11:43+03:00

snow_lady [41]3 years ago

6 0

Triangle BAC andtriangle RQP is right for the SAS Criterion

But for ASA it is wrong (responding to the guy who put ABC - RQP for ASA)

Still trying to figure out ASA or if you already got it let me know

anzhelika [568] · Answer 2 · 2022-05-03T11:53:43+03:00

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.