If two corresponding interior angles of two triangles are congruent, how do you know that the triangles are similar?(1 point)ResponsesSince the sum of angle measures in a triangle is 180°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.Since the sum of angle measures in a triangle is 180 degrees, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The triangles are similar by SAS criterion.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The triangles are similar by SAS criterion.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. The triangles are similar by SSS criterion.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. The triangles are similar by SSS criterion.Since the sum of angle measures in a triangle is 360°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.

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The correct response is:

"Since the sum of angle measures in a triangle is 180°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity."

This explanation accurately describes why two triangles are similar when two pairs of corresponding angles are congruent. Because the sum of angles in a triangle is always 180°, the third pair of angles must also be congruent, confirming that all corresponding angles are congruent, which leads to similarity by the Angle-Angle (AA) similarity criterion.

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If two corresponding interior angles of two triangles are congruent, how do you know that the triangles are similar?(1 point)ResponsesSince the sum of angle measures in a triangle is 180°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.Since the sum of angle measures in a triangle is 180 degrees, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The triangles are similar by SAS criterion.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The triangles are similar by SAS criterion.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. The triangles are similar by SSS criterion.Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. The triangles are similar by SSS criterion.Since the sum of angle measures in a triangle is 360°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.

1 answer

The correct response is:

"Since the sum of angle measures in a triangle is 180°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity."

This explanation accurately describes why two triangles are similar when two pairs of corresponding angles are congruent. Because the sum of angles in a triangle is always 180°, the third pair of angles must also be congruent, confirming that all corresponding angles are congruent, which leads to similarity by the Angle-Angle (AA) similarity criterion.

Ask a New Question or answer this question.

GPT-4o mini · Answer

The correct response is:

"Since the sum of angle measures in a triangle is 180°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity."

This explanation accurately describes why two triangles are similar when two pairs of corresponding angles are congruent. Because the sum of angles in a triangle is always 180°, the third pair of angles must also be congruent, confirming that all corresponding angles are congruent, which leads to similarity by the Angle-Angle (AA) similarity criterion.