Question

Two of these three triangles are congruent. Choose the triangle that is not congruent to the other two.

2.1 cm
73° 62%
45%
2.8 cm
2.6 cm
47. A
2.6 cm
45%
629 73
2.1 cm
2.8 cm
58
58
2.6 cm 64
2.6 cm
2.8 cm

Answer 1

Triangle 2 is congruent.

Explanation:

To determine which of the three triangles is not congruent to the other two, we can look for differences in their side lengths or angles. Congruent triangles have the same shape and size, meaning their corresponding sides and angles are equal.

Let's compare the triangles:

Triangle 1:

Side lengths: 2.1 cm, 2.8 cm, 2.6 cm

Angle measures: 73°, 62%, 45%

Triangle 2:

Side lengths: 2.6 cm, 2.6 cm, 2.8 cm

Angle measures: 45%, 58, 58

Triangle 3:

Side lengths: 2.6 cm, 2.8 cm, 2.6 cm

Angle measures: 64, 45%, 64

Now, let's analyze them:

Triangle 1 and Triangle 2 have different side lengths, but their angle measures are different as well.

Triangle 1 and Triangle 3 have the same side lengths, but their angle measures are different.

Triangle 2 and Triangle 3 have the same side lengths and two angle measures in common, but their third angle measure is different.