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CPM Geometry Ch 3 Math Notes 3.1.1-3.1.4 Practice

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

A(n) (a)   is a transformation that maintains the shape of a figure but multiplies its dimensions by a chosen factor.

2.

When a figure is dilated, what is the point from which a figure is stretched proportionally called?

a)

point of dilation

b)

origin

c)

line of reflection

d)

center of rotation

e)

corresponding angle

3.

If a figure is dilated and the resulting image fully encloses the original figure, the point of dilation must be located __________________.

a)

inside the original figure

b)

outside the original figure

c)

at the origin

d)

on a vertex of the original figure

e)

on a side of the original figure

4.

True or False: On similar figures, each pair of corresponding sides have a common ratio for their lengths.

a)

True

b)

False

5.

A ______________________ is an equation that compares two or more ratios.

a)

proportion

b)

linear equation

c)

scale factor

d)

quadratic equation

e)

rational expression

6.

Which of the following equations could correctly apply to the similar triangles below? (check all that apply)

a)

ad=bc\frac{a}{d}=\frac{b}{c}

b)

ac=bd\frac{a}{c}=\frac{b}{d}

c)

ab=cd\frac{a}{b}=\frac{c}{d}

d)

dc=ab\frac{d}{c}=\frac{a}{b}

e)

ca=db\frac{c}{a}=\frac{d}{b}

7.

Which of the following statements is true based upon the similarity statement, ΔABC ~ ΔDEF? (check all that apply)

a)

∠ABC ≅ ∠DFE

b)

∠BAC ≅ ∠DEF

c)

∠BAC ≅ ∠EDF

d)

∠BAC ≅ ∠EFD

e)

∠ACB ≅ ∠DFE

8.

Which of the following is a correct similarity statement for the similar triangles above?

a)

ΔKLM ~ ΔPQR

b)

ΔMLK ~ ΔPRQ

c)

ΔMLK ~ ΔRQP

d)

ΔKLM ~ ΔRQP

e)

ΔLKM ~ ΔRQP

9.

If ΔABC ~ ΔDEF, which side on ΔDEF corresponds with the side length from A to C on ΔABC?

a)

 FD‾\overline{FD}  

b)

 FE‾\overline{FE}  

c)

 DE‾\overline{DE}  

d)

 EF‾\overline{EF}  

10.

Which of the following is a correct similarity statement for the similar triangles above? (check all that apply)

a)

ΔABC ~ ΔYZX

b)

ΔBCA ~ ΔZXY

c)

ΔACB ~ ΔYXZ

d)

ΔCBA~ ΔXYZ

e)

ΔBCA ~ ΔXZY