Which pairs of triangles appear to be congruent? check all that apply.

option (A), (D) and (E) are correct.

Step-by-step explanation:

Congruent triangle: When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Thus, from the given information, figure 1 seems to be congruent to figure 2 as they have exactly same sides and angles, moreover they both are obtuse angles, thus figure 1 is congruent to figure 2.

Also, figure 2 seems to be congruent to figure 4 as they have exactly same sides and angles, moreover they both are also obtuse angles, thus figure 2 is congruent to figure 4.

Now, if figure 1 is congruent to figure 2 and figure 2 is congruent to figure 4, then figure 1 will also be congruent to figure 4.

Figure 3 consists of one right angled but the the other figures do not contain a right angle, thus figure 3 cannot be congruent to the other figures.

Hence, option (A), (D) and (E) are correct.

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step-by-step explanation: