Question

PLEASE HELP ME...

Triangle ABC can be mapped onto triangle DEF with a reflection across the______ followed by a dilation centered at the origin with a scale factor of ______

Select from the drop-down menus to correctly complete each statement.
choices -across_____( x axis or y axis)
choices- scale factor of _____(0.25,0.5,2,or 4)

Answer 1

Triangle ABC can be mapped onto triangle DEF with a reflection across the x axis followed by a dilation centered at the origin with a scale factor of 0.25 .

Explanation:

Given : Graph of two triangle ABC and DEF with coordinates .

To find : Triangle ABC can be mapped onto triangle DEF with a reflection across the______ followed by a dilation centered at the origin with a scale factor of ______.

Solution : We can see from given graph triangle triangle ABC is reflected across x axis.

Scale factor: 0.25

Therefore, Triangle ABC can be mapped onto triangle DEF with a reflection across the x axis followed by a dilation centered at the origin with a scale factor of 0.25 .

Answer 2

Since the reflected figure is moved to the third quardrant, the reflection should be across the x-axis.

Also, if we compare the width and height of the orginial triangle with that of the reflected one, it is clear that it is dilated with a scale factor of 0.25.