Question

A. Describe the translation needed to match each pre-image to each congruent image.1. pre-image: Quadrilateral RSTO2. pre-image: Triangle XYZimage: Quadrilateral R'STOimage: Triangle X'Y'Z'RR12181016Ss141210868-10 12 14 1682o-1012010В ІIC0/10000 Word Limit

Answer 1

To answer this question we have to remeber that a translation in the coordinate plane is given by

`(x,y)\rightarrow(x+a,y+b)`

where a is the horizontal shift and b the vertical shift.

1.

From the figure we notice that the image moves to the right two units. We also notice that the image doesn't move in the vertical direction. Then a=2, and b=0.

Therefore, in this case, the translation is given by

`(x,y)\rightarrow(x+2,y)`

2.

From the figure we notice that the image moves to the right 10 units but it doesn't move in the vertical direction, then a=10 and b=0.

Therefore, in this case, the translation is given by

`(x,y)\rightarrow(x+10,y)`