Question

3 multiple choice 1 point choose the image that has the correct markings for the congruent statement: △uvt ≅△abc a) b) c) d)

Explanation:

Step1: Analyze the congruent statement

Given \(\triangle UVT\cong\triangle ABC\), which means \(U\) corresponds to \(A\), \(V\) corresponds to \(B\), and \(T\) corresponds to \(C\). Also, \(UV\) corresponds to \(AB\), \(VT\) corresponds to \(BC\), and \(UT\) corresponds to \(AC\).

Step2: Check the markings for corresponding sides and angles

• In option A: The markings do not match the corresponding sides and angles as per the congruent statement.
• In option B: The markings do not match the corresponding sides and angles as per the congruent statement.
• In option C: The markings match the corresponding sides \(UV = AB\) (one dash), \(VT=BC\) (two dashes), \(UT = AC\) (three dashes) and corresponding angles \(\angle V=\angle B\), \(\angle U=\angle A\), \(\angle T=\angle C\).
• In option D: The markings do not match the corresponding sides and angles as per the congruent statement.

Answer:

C