Question

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

Explanation:

Step1: Analyze the congruent statement

In \(\triangle UVW\cong\triangle UZY\), the order of the letters matters. Corresponding parts of congruent triangles are equal. So \(UV = UZ\), \(VW=ZY\), \(UW = UY\), \(\angle V=\angle Z\), \(\angle U=\angle U\) (common angle), \(\angle W=\angle Y\).

Step2: Check each option

• Option A: The markings do not match the corresponding sides and angles of \(\triangle UVW\cong\triangle UZY\)
• Option B: The markings match the corresponding sides \(UV = UZ\) (two - tick marks), \(VW = ZY\) (one - tick mark), \(UW=UY\) (three - tick marks) and corresponding angles \(\angle V=\angle Z\), \(\angle W=\angle Y\), \(\angle U=\angle U\)
• Option C: The angle markings do not correspond correctly to the congruent statement \(\triangle UVW\cong\triangle UZY\)
• Option D: The side and angle markings do not match the correct correspondence of \(\triangle UVW\cong\triangle UZY\)

Answer:

B.