Geometry test 3.1 (through G.GPE.B.6) Review

Point J is located at (3, 1) and Point L is located at (-2, 11). The point P that partions the segment in a ratio of 3:2 is located at the point (0, y). What is the value of y?

What are the coordinates of the point that is exactly $$\frac{1}{4}$$ of the way from $$\left(-2,-3\right)$$ and $$\left(6,5\right)$$ ?

(a)  

Which of the following transformations are dilations? Select all that apply.

A dilation centered at the origin maps all points $$\left(x,y\right)$$ to their image $$\left(x\sqrt[]{2},\ y\sqrt[]{2}\right)$$ . What is the scale factor?

A dilation centered at the origin with a scale factor of $$\frac{1}{3}$$ maps triangle ABC, with vertices at A (3, 6), B (-9, -2), and C (-6, 5) to its image. The coordinates of the image are A' ​ (a)   , B' ​ (b)   , and C' ​ (c)   .

Which of the following are properties of ANY parallelogram? Selet all that apply.

Triangle WXY has coordinates W $$\left(5,4\right)$$ , X $$\left(1,5\right)$$ , and Y $$\left(0,2\right).$$ The coordinates of the image are W' $$\left(2.5,2\right)$$ , X' $$\left(0.5,2.5\right)$$ , and Y' $$\left(0,1\right).$$ The scale factor is k=?

Which of the following are NOT isometric. Select all that apply.

Point M lies on segment AZ. AM measures $$\frac{1}{2}x+5$$ cm and MZ measures $$-3x-1$$ cm. The length of AZ is 9 cm. What is the value of x? (just put the number value; do not put x=)