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unit 7 review

Total questions: 15

Worksheet time: 59mins

Name
Class
Date
1.
a)

F

b)

G

c)

H

d)

J

2.

Figure ABCDEF is shown on a coordinate grid. Figure ABCDEF is dilated to create figure A′B′C′D′E′F′ using the rule  (x, y)--> ( 72x\frac{7}{2}x , 72y\frac{7}{2}y  ).

Which statement is true?

a)

Figure A′B′C′D′E′F′ is smaller than figure ABCDEF, because the scale factor is greater than 1.

b)

Figure A′B′C′D′E′F′ is smaller than figure ABCDEF, because the scale factor is less than 1.

c)

Figure A′B′C′D′E′F′ is greater than figure ABCDEF, because the scale factor is greater than 1.

d)

Figure A′B′C′D′E′F′ is greater than figure ABCDEF, because the scale factor is smaller than 1.

3.

ABCD is dilated to A'B'C'D', find the scale factor and determine if it is a reduction or enlargement.

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

4.

Triangle XYZ is graphed on a coordinate plane with vertices at X(3, 4), Y (–10, –2), Z (–6, 5). Triangle XYZ is dilated by a scale factor a. Which ordered pair represents the coordinates of the dilated vertex X? 

a)

(3a,4a)\left(\frac{3}{a},\frac{4}{a}\right)  

b)

(3-a, 4+a)

c)

(3a , 4a)

d)

(-4a, 3a)

5.

Figure ABC is transformed to make A'B'C'. Which statement is true?

a)

Figure ABC is reflected over the y-axis to create figure A'B'C'. Corresponding angles between the figures will not be congruent.

b)

Figure ABC is reflected over the x-axis to create figure A'B'C'. Corresponding angles between the figures will be congruent.

c)

Figure ABC is reflected over the y-axis to create figure A'B'C'. Corresponding angles between the figures will be congruent.

d)

Figure ABC is reflected over the x-axis to create figure A'B'C'. Corresponding angles between the figures will not be congruent.

6.

Which transformations will ALWAYS maintain congruence?

a)

Rotations

b)

Reflection

c)

Translation

d)

Dilation

7.

Determine how to translate triangle ABC to triangle A'B'C' ?

a)

(x + 2, y - 5)

b)

(x + 2, y - 9)

c)

(x - 2, y - 9)

d)

(x - 2, y + 9)

8.

Write the rule for this translation:

Slide 5 up and 7 right

a)

(x, y)---->(x + 5, y + 7)

b)

(x, y)-----> (x + 7, y + 5)

c)

(x, y)----> (x - 7, y + 5)

9.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->
(x + 3, y + 2)
b)
(x, y)---->
(x+2, y + 3)
c)
(x, y)---->
(x - 2, y + 3)
10.

What is the rule for this reflection over x-axis?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

11.
Based on the scatterplot, what is the best prediction of the resting heart rate of a person who exercises an average of 8 hours each week?
a)
30 beats per minute
b)
50 beats per minute
c)
55 beats per minute
d)
60 beats per minute
12.
Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week, if that person spends an average of 10 hours on recreational activities every week?
a)
33 hours
b)
85 hours
c)
50 hours
d)
65 hours
13.
Based on the scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?
a)
$135
b)
$115
c)
$105
d)
$150
14.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
15.
a)

F

b)

G

c)

H

d)

J