1. Given AB←→ with point D on AB←→ as shown. A dilation on D is centered at A with a scale factor of 2. Which of the following statements is true?
A. D′ lies on AB¯¯¯¯¯¯¯¯ .
B. BD′=8 units
C. D′ lies on AB←→ .
D. D′ lies between A and D
2. Consider that AB←→ is dilated with a center of dilation at A and a scale factor of 2. Which of the following statements will be true about AB←→ and its image A′B′←→− ?
A. The slope of A′B′←→− will be half the slope of AB←→
B. The slope of A′B′←→− will be twice the slope of AB←→
C. The slope of A′B′←→− will be the same as the slope of AB←→ .
D. The slope of A′B′←→− will be two more than the slope of AB←→ .
3. Fill in the blank to make the statement true
If a line passes through the center of the dilation, then
any dilation of the line will be perpendicular to the given line
any dilation of the line will be collinear with the given line.
any dilation of the line will intersect the given line once
some of the dilations of the line will be collinear with the line, but some won't
4. A line is dilated with a center of dilation on the line and a scale factor of 0.5. Which of the following statements will be true about the image of the line?
A. The length of the image is twice the length of the given line
B. The image intersects the given line once.
C. The length of the image is half the length of the given line.
D. The image is collinear with the given line.
5. Question For the scaled line shown below, a dilation on M is centered at O with a scale factor of 2. Determine which of the points on the line is the image of M .
1. A
2. Y
3. R
4. g
answer all
1. D. D′ lies between A and D.
2. A. The slope of A′B′←→− will be half the slope of AB←→.
3. Any dilation of the line will be collinear with the given line.
4. D. The image is collinear with the given line.
5. 2. Y