Free Printable 3-5-20 Geometry-week 2- Day 4

1.

What is the center of dilation?

a)

(-5, 2)

b)

(-1, 0)

c)

(2, 2)

d)

(0, 0)

2.

Draw a triangle with vertices at A(0, 1), B(–3, 3), and C(1, 3). Dilate the triangle using a scale factor of

3 and a center of (0, 0). What will be the coordinates of C'?

a)

(4, 6)

b)

(3, 9)

c)

(0, 3)

d)

(2, 6)

3.

Given a set of points forming a figure below, dilate it about the point (3, 1) by a scale factor 3. Complete the table by writing the coordinates of the images a, b and c and determine the relationship between the lines formed by the pre-images and the images.

a)

a = (3, 9), b = (6, 6), C= (12, 0); the lines are parallel

b)

a = (-3, 7), b = (0, 4), C= (6, -2); the lines are parallel

c)

a = (3, 9), b = (6, 6), C= (12, 0); the lines are identical

d)

a = (-3, 7), b = (0, 4), C= (6, -2); the lines are identical

4.

$\Delta$ A'B'C' with vertices A'(0,0), B'(0,2) and C'(1.5, 3) is the image of $\Delta$ ABC with vertices A(0,0), B(0,4) and C(3,6) under dilation. If the center of dilation is (0, 0), what is the scale factor?

a)

0

b)

1/2

c)

2

d)

undefined

5.

Given the figure below determine how the figures are similar and what transformations took place to map one triangle onto the other.

a)

Similar by HL, Reflection and Dilation

b)

Similar by AA, Reflection and Dilation

c)

Similar by HL, Rotation and Dilation

d)

Similar by AA, Rotation and Dilation

6.

Consider that ΔABC is similar to ΔDEF and the measure of $\angle B$ is 58°. What is the measure of $\angle E$ ?

a)

20

b)

22

c)

45

d)

58

7.

In the diagram, BD $\parallel$ AE. Which of the following statements are true for this diagram?
1. $\Delta ACE\ \sim\Delta BCD$
2. $\Delta ACE\ \sim\Delta DBC$
3. m $\angle A\ =\ m\angle CBD$

a)

1 only

b)

2 only

c)

1 and 2

d)

1 and 3

8.

Find the value of MP in the figure.

a)

10

b)

12

c)

14

d)

16

9.

In the figure DE $\parallel$ BC. Which proportionality statement is not true?

a)

$\frac{AD}{BA}=\frac{AE}{CA}$

b)

$\frac{AD}{AE}=\frac{AB}{AC}$

c)

$\frac{DB}{EC}=\frac{BA}{CA}$

d)

$\frac{AD}{DB}=\frac{AE}{AC}$

10.

ST is the mid-segment of $\Delta$ PMN. Given ST = 15, What is the length of MN ?

a)

30

b)

15

c)

7.5

d)

20

3-5-20 Geometry-week 2- Day 4

Total questions: 10

Worksheet time: 6mins

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