Free Printable 5-4: Similar Shapes II

1.

In △HTL, HO = OT and HE = EL. Given that information, which statement can be proved to be true?

a)

m<ELT is congruent to n<OTL

b)

$\Delta HLT$ is equilateral

c)

$\Delta HEO$ is half the size of $\Delta HLT$

d)

The length of OE is half the length of TL

2.

Is ABC ~ A’B’C’? If so, by what scale factor?

a)

Yes, SF = 9

b)

Yes, SF = 3

c)

Yes, SF = 1/3

d)

No, the shapes are not similar

3.

AB is the midsegment of the triangle above. What is the value of X?

a)

x = 3

b)

x = 6

c)

x = 12

d)

x= 8

4.

In △SKE, SK II TA. Which statement below must be true?

a)

$\frac{SK}{ST}=\frac{TA}{TE}$

b)

$\frac{ST}{TE}=\frac{AE}{KA}$

c)

$\frac{ST}{TA}=\frac{KA}{AT}$

d)

$\frac{ST}{TE}=\frac{KA}{AE}$

5.

Given $\Delta AXZ$ , which statement has to be true?

a)

$\frac{AX}{XZ}=\frac{XY}{YZ}$

b)

$\frac{AX}{XY}=\frac{XZ}{AZ}$

c)

$\frac{AX}{XZ}=\frac{XZ}{XY}$

d)

$\frac{AX}{ZA}=\frac{YZ}{XY}$

6.

In △KNT, PA II KT , What is the length of KN?

a)

KN = 31.5

b)

KN = 49.5

c)

KN = 30

d)

KN = 44.5

7.

Is BA II DE ?

a)

No, there is not enough information to tell

b)

No, D is not the midpoint of BC and E is not the midpoint of AC

c)

Yes, because $\frac{BD}{DC}=\frac{AE}{EC}$

d)

Yes because $\frac{BA}{DE}=\frac{DB}{EA}$

8.

Is BA II DE ?

a)

No; there is not enough information to tell

b)

No; $\frac{CE}{CD}is\ not\ equal\ to\ \frac{CA}{CB}$

c)

Yes; DE is the midsegment of $\Delta ABC$

d)

Yes; $\frac{CD}{DB}=\frac{CE}{EA}$

9.

Are the polygons similiar to each other? If so, what is the scale factor?

a)

No; 32/26 does not equal 18/12

b)

No; missing too many sides to tell

c)

Yes; the Scale factor is 2

d)

Yes; the Scale factor is 3

10.

In △VDO, IE II DO. Therefore, which of the following statements must be true?

a)

$\frac{VI}{VE}=\frac{ID}{EO}$

b)

$\frac{VI}{ID}=\frac{EO}{VE}$

c)

$\frac{VI}{ID}=\frac{VE}{EO}$

d)

$\frac{VI}{IE}=\frac{ID}{DO}$

11.

In △ZMT, EG II ZT. What is the length of GT and MT?

a)

GT = 14, MT = 24

b)

GT = 13.3, MT = 23.3

c)

GT = 7.5, MT = 17.5

d)

GT = 10, MT = 20

12.

Is BA II DE ?

a)

Yes; the Scale factor is 2/3

b)

Yes; the Scale Factor is 3/2

c)

No; we don't know anything about DE or BA

d)

No; BD/DC is not proportional to AE/EC

13.

Triangles ABC and XYZ are similar. The length of the sides of triangle ABC are 11, 15, 20. The length of the longest side of triangle XYZ is 140. What is the length of the smallest side of triangle XYZ?

a)

77

b)

105

c)

254

d)

131

14.

Is $\Delta EFG\sim\Delta MLN$ ? If so, what is the scale factor?

a)

Yes; the Scale Factor is 2

b)

Yes; the Scale Factor is 5/3

c)

Yes; the Scale Factor is 3/2

d)

No; the Scale Factors don't match

15.

Is $\Delta EGF\sim\Delta LMN$ ? If so, what is the scale factor?

a)

No; the angles are the same

b)

No; EG an LM are missing

c)

Yes; the Scale Factor is 3

d)

Yes; the Scale Factor is 28

16.

What do we know about $\Delta DCK$ ?

a)

$\frac{DC}{CK}=\frac{DK}{CU}$

b)

$\frac{DC}{CK}=\frac{UK}{CU}$

c)

$\frac{DC}{CK}=\frac{CK}{UC}$

d)

$\frac{DC}{CK}=\frac{CU}{UK}$

5-4: Similar Shapes II

Total questions: 16

Worksheet time: 4hrs 0mins

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