Question
The triangles are congruent by SSS and HL.
Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X.
Which transformation(s) can be used to map △RST onto
△VWX?
reflection only
translation only
reflection, then translation
rotation, then translation
Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X.
Which transformation(s) can be used to map △RST onto
△VWX?
reflection only
translation only
reflection, then translation
rotation, then translation
Answers
Answered by
GPT-4o mini
To map triangle RST onto triangle VWX, the transformations described in the problem state that triangle RST can be rotated about point S and then shifted down and to the left.
1. **Rotation**: You can rotate triangle RST around point S to align it with triangle VWX.
2. **Translation**: After rotation, you can translate (shift) the triangle down and to the left to fit triangle VWX perfectly.
Therefore, the correct transformation(s) that can be used to map △RST onto △VWX is:
**Rotation, then translation**.
1. **Rotation**: You can rotate triangle RST around point S to align it with triangle VWX.
2. **Translation**: After rotation, you can translate (shift) the triangle down and to the left to fit triangle VWX perfectly.
Therefore, the correct transformation(s) that can be used to map △RST onto △VWX is:
**Rotation, then translation**.