Question

which statement best describes triangles uvw and xyz? they are similar and congruent they are similar, but not congruent they are congruent, but not similar they are neither congruent nor similar

Explanation:

Step1: Check for similarity

Triangles are similar if their corresponding angles are equal. From the markings, we can see that the angles of triangle \(UVW\) and \(XYZ\) are equal. So, by the AA (Angle - Angle) similarity criterion, the two triangles are similar.

Step2: Check for congruence

Congruent triangles have all corresponding sides equal. In triangle \(UVW\), the side lengths are \(40\), \(50\), and \(60\). In triangle \(XYZ\), the side lengths are \(32\), \(40\), and \(48\). Since \(32
eq40\), \(40
eq50\), and \(48
eq60\), the side lengths are not equal. So, the triangles are not congruent.

Answer:

They are similar, but not congruent