Quiz about Segments in Similar Triangles

Question 1

Given the similar triangles,

determine x =

Accepted Answer

8.75

Answer

7.75

Answer

8

Answer

9

Question 2

Given the similar triangles,

determine X =

Accepted Answer

15.6

Answer

15

Answer

14.6

Answer

14.2

Question 3

Given the similar triangles,

the length of the angle bisector ( a ) =

Accepted Answer

5.25

Answer

5

Answer

5.1

Answer

5.2

Question 4

Given the similar triangles,

the length of the median ( m ) $$\approx$$

Accepted Answer

5.6

Answer

5

Answer

6

Answer

6.2

Question 5

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Yes, SAS Similarity

Answer

Not Similar

Question 6

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, SAS Similarity

Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Not Similar

Question 7

Use the triangle angle bisector theorem to determine x $$\approx$$

Accepted Answer

4.6

Answer

4

Answer

4.8

Answer

5.4

Question 8

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. Find the length of AB to the nearest meter.

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 9

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 10

If two figures are similar, the corresponding sides are ______________.

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 11

Complete the proportion.

$$\frac{BC}{DM}=\frac{?}{AD}$$

Accepted Answer

AC

Answer

BC

Answer

MD

Answer

MC

Question 12

Find y.

Accepted Answer

12

Answer

144

Answer

18

Answer

72

Question 13

Complete the following transformation if Triangle ABC is transformed to make similar Triangle DEF. Translate A to D. Rotate around Point D until D, E, and _____ are co-linear. Dilate by ______ with center D.

Accepted Answer

Point B, Scale Factor EF/BC

Answer

Point B, Scale Factor BC/EF

Answer

Point C, Scale Factor EF/BC

Answer

Point C, Scale Factor BC/EF

Question 14

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 15

What is the value of X?

Accepted Answer

X=2

Answer

X=4

Answer

X=6

Answer

X=3

Question 16

Given triangle ABC is a dilated image of triangle JKL, the pre-image, with a scale factor of 4, which of the following proportions are true? Select all that apply.

Accepted Answer

$$\frac{AB}{JK}=\frac{BC}{KL}$$

Accepted Answer

$$\frac{BC}{KL}=4$$

Answer

$$\frac{AC}{JK}=\frac{BC}{KL}$$

Answer

$$\frac{KL}{BC}=4$$

Answer

$$\frac{JL}{AC}=\frac{AB}{JK}$$

Question 17

Determine whether the triangles are similar.

Accepted Answer

AA~

Answer

SSS~

Answer

SAS~

Answer

not similar

Question 18

If two figures are similar, their corresponding sides are:

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 19

If BD=16, AC=10 and DE=3, what is the perimeter of triangle ABC (add all sides of big triangle)

Accepted Answer

48

Answer

16

Answer

27

Answer

29

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