Question

determine if these shapes are similar, congruent, or neither. neither similar congruent

Explanation:

Step1: Check for congruence

Congruent shapes have equal corresponding sides and angles. Here, both triangles have sides \(8\) and \(10\) and right - angles. By the Side - Angle - Side (SAS) congruence criterion (right - angle, sides \(8\) and \(10\) are equal), they are congruent.

Step2: Check for similarity (though congruence implies similarity)

Similar shapes have proportional sides. Since \(\frac{8}{8}=1\) and \(\frac{10}{10}=1\) (ratios of corresponding sides are equal), they are similar. But since they are congruent (a stronger condition where ratio is \(1\) and all corresponding parts are equal), the more specific classification is congruent.

Answer:

congruent