Question

How can you show that triangle ABC

and triangle DEF are congruent?




Also, Type the side lengths of DEF
and the angle measures of ABC
in the boxes below.

Be sure to include the degree symbol in your answers that involve angle measures.

2. ∠ABC =

3. ∠BCA =

4. ∠CAB =

5. DE =

6. EF =

7. FD = ​

Answer 1

To show that triangles ABC and DEF are congruent, compare their side lengths and angle measures. If they have the same side lengths and angle measures, they are congruent triangles.

To show that triangles ABC and DEF are congruent, we need to show that their corresponding sides and angles are equal. Here's how:

Begin by checking the side lengths. Measure the lengths of DE, EF, and FD and write them in the appropriate boxes.

Next, measure the angle measures of triangle ABC. Measure ∠ABC, ∠BCA, and ∠CAB using a protractor and write the angle measures in degrees in the appropriate boxes.

To determine if the triangles are congruent, compare the side lengths and the angle measures. If all the corresponding sides and angles are equal, then the two triangles are congruent.