Question

Could I get help with this plz!!!

The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) .

The coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) .


What is the sequence of transformations that maps △DEF to △D′E′F′ ?


Drag and drop the answers into the boxes to correctly complete the statement.

A sequence of transformations that maps △DEF to △D′E′F′ is a __________ followed by a ____________.


Options:

Answer 1

Here it is

Explanation:

Answer 2

The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) .

The coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) .

When we reflect over the y axis, the y values are unchanged and the x values are opposite

so △DEF are D(2, −1) , E(7, −1) , and F(2, −3) , reflection over the y axis will become △D′E′F′ are D'(-2, −1) , E'(-7, −1) , and F'(-2, −3)

Translation 2 units right( means x values move to the right 2 units and y values are unchanged)

△D′E′F′ are D'(-2, −1) , E'(-7, −1) , and F'(-2, −3) ------> D′(0, −1) , E′(−5, −1) , and F′(0, −3)

Answer:

1st one: Reflection across the y-axis

2nd one: Translation 2 units right