Question

which statements are true about additional information for proving that the triangles are congruent? select two options. if a ≅ t, then the triangles would be congruent by asa. if b ≅ p, then the triangles would be congruent by aas. if all the angles are acute, then the triangles would be congruent. if c and q are right angles, then triangles would be congruent. if bc ≅ pq, then the triangles would be congruent by asa.

Answer 1

Answer:

Options a and b are correct.

Explanation:

As one side and one angle are already congruent, so another congruent angle or congruent side will yield two congruent triangl

Answer 2

The statements that assert true claims regarding would be

a). If a ≅ t, then the triangles would be congruent by ASA.

b). If b ≅ p, then the triangles would be congruent by AAS.

Triangle

In the Δ ABC and ΔTPQ,

Given that,

AC ≅ TQ

∠BCA ≅ ∠PQT

Now,

if

∠A  ≅ ∠T    

∵ This exemplifies ASA(Angle Side Angle Theorem).

And,

if

∠B  ≅ ∠P

∵ This exemplifies AAS(Angle Angle Side Theorem).

Thus, options a and b are the correct answers and they assert true claims regarding the congruency of the two triangles.

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