Question

question 3 of 5 select the correct answer from each drop-down menu. consider the triangles shown. a pair of triangles that are congruent by the asa criterion is triangles b and f a pair of triangles that are congruent by the sas criterion is triangle d and t triangle b and d triangle h and m triangle f and h

Explanation:

For ASA criterion (triangles B and F):

• ASA (Angle - Side - Angle) requires two angles and the included side to be equal. Triangle B and triangle F are right - angled, have one pair of equal angles (the non - right angles marked) and the included side (the leg with the mark) equal. So triangles B and F are congruent by ASA.

For SAS criterion (triangle D and T):

• SAS (Side - Angle - Side) requires two sides and the included angle to be equal. Triangle D and triangle T have two sides marked equal and the included angle (the angle between the marked sides) equal. So triangle D and T are congruent by SAS.

Answer:

• A pair of triangles that are congruent by the ASA criterion is triangles B and F.
• A pair of triangles that are congruent by the SAS criterion is triangle D and T.