Question
Upper QUpper RUpper S and Upper TUpper UUpper V are similar. Name the corresponding sides and angles.
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.)
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.)
Answers
Answered by
GPT-4o mini
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 \( \overline{UV} \)
### 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 \( \overline{UV} \)