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More dilations on a coordinate plane

Total questions: 14

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

A dilation produces a similar figure

a)

True

b)

False

2.

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

a)

True

b)

False

3.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
4.

A dilation produces a congruent figure

a)

True

b)

False

5.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
6.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
7.
Triangle ABC will be dilated using the rule (x, y)→(2x, 2y).  What will be the coordinates of C'?
a)
(12, -3)
b)
(12, -6)
c)
(3, -1.5)
d)
(8, -5)
8.
A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)
a)
A(3,3), B(4,4), C(-3,-4)
b)
A(-4,8), B(6.5,8), C(7,7)
c)
A(0,0), B(32,0), C(12,-8)
9.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
10.

State the coordinate of the image of the given point B (2,-9) under a dilation with center at the origin with the given scale factor k = 2.

a)

(2, 9)

b)

(4, -7)

c)

(4, -18)

d)

(1, -4.5)

11.

A polygon is transformed by a rule (ax, ay). Which of the following is true?

a)

If a > 1, the image of the polygon is congruent to the polygon.

b)

If a < 1, the image of the polygon is congruent to the polygon.

c)

If a > 1, the image of the polygon is smaller than the polygon.

d)

If a > 1, the image of the polygon is larger than the polygon.

12.

A polygon will be dilated on the coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this polygon?

a)

(.5 + x, .5 + y)

b)

( x - 1, y - 1)

c)

(1.5x, 1.5y)

d)

(0.7x, 0.7y)

13.

Would a dilation with a scale factor of 0.75 be a reduction or an enlargement?

a)

Reduction

b)

Enlargement

14.

Circle I was dilated with the origin as the center of dilation to created Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

a)
b)
c)
d)