Upper QUpper RUpper S and Upper TUpper UUpper V are similar. Name the corresponding sides and angles.

Question

Q
R
S
T
U
V
Question content area bottom
Part 1
Name the corresponding side.
QR overbar and
  
TU
​(Type two vertices in the correct​ order.)
Part 2
Name the corresponding angle.
angleUpper Q  and  angle
  
Upper T
​(Type a​ vertex.)
Part 3
Name the corresponding side.
QS overbar and  
  
enter your response here
​(Type two vertices in the correct​ order.)

Answer 1

Given that triangles \( QRS \) and \( TUV \) are similar, we can find the corresponding sides and angles based on the correspondence of the vertices.

Part 1: Name the corresponding side.

Since \( QR \) corresponds to \( TU \), we can write:

• \( \overline{QR} \) corresponds to \( \overline{TU} \).

Part 2: Name the corresponding angle.

The angles that correspond to each other based on the order of the vertices are:

• \( \angle Q \) corresponds to \( \angle T \).

Part 3: Name the corresponding side.

Since \( QS \) corresponds to \( UV \), we can write:

• \( \overline{QS} \) corresponds to \( \overline{UV} \).

So in summary:

• Part 1: \( \overline{QR} \) and \( \overline{TU} \)
• Part 2: \( \angle Q \) and \( \angle T \)
• Part 3: \( \overline{QS} \) and \( \overline{UV} \)