Quiz about Similarity Shortcuts

Question 1

What is corresponding congruent angles and proportional sides?

Accepted Answer

Similar Figures

Answer

Scale Factor

Answer

Congruent Shapes

Question 2

$$If\ \Delta ABC\cong\Delta PQR$$ , then what is the value of x?

Accepted Answer

10

Answer

9.83

Answer

9.17

Answer

9.5

Question 3

If ABCDE ~ PQRST, then what is the value of x?

Accepted Answer

8

Answer

9.7

Answer

47

Answer

64

Question 4

If $$\Delta ABD\cong\Delta CBD$$ , then what is the value of x?

Accepted Answer

20

Answer

45

Answer

60

Answer

21.3

Question 5

If SU = x, UR = 15, SV = 27, and VT =5x, what is the value of x?

Accepted Answer

9

Answer

5

Answer

15

Answer

27

Question 6

In the figure, if \angle C\cong\angle E\ and B is the midpoint of \overline{CE}\ , then which shortcut proves \Delta ABE\cong\Delta DBC\ ?

Accepted Answer

ASA

Answer

SSS

Answer

SAS

Answer

HL

Question 7

Find the value of x

(Hint: Look at the congruent angles...what is CD?)

Accepted Answer

6.4

Answer

2

Answer

4.8

Answer

6

Question 8

Rectangle ABCD ~ rectangle EFGH, the perimeter of ABCD is 54 centimeters and the perimeter of EFGH is 36 centimeters. What is the scale factor of ABCD to EFGH?

Accepted Answer

$$\frac{3}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{3}{5}$$

Answer

$$\frac{5}{3}$$

Question 9

Determine whether the triangles are similar. Justify your answer.

Accepted Answer

NO- The shortcuts do not work

Answer

Yes- SAS

Answer

Yes- AA

Answer

Yes- SSS

Question 10

Determine whether the triangles are similar. Justify your answer.

Accepted Answer

Yes- SAS

Answer

Yes- SSS

Answer

Yes- AA

Answer

No- The shortcuts do not work

Question 11

Find DE:

Accepted Answer

9

Answer

7

Answer

10

Answer

12

Question 12

Determine if the dilation from A and B is an enlargement or reduction. Then find the scale factor of the dilation.

Accepted Answer

Enlargement;

$$\frac{4}{3}$$

Answer

Enlargement; $$\frac{3}{2}$$

Answer

Reduction; $$\frac{3}{4}$$

Answer

Reduction; $$\frac{2}{3}$$

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