Quiz about Geometry ~ Similar Figures

Question 1

What theorem is described: Similarity exists if two pairs of sides are proportional and the included angle pair is congruent

Accepted Answer

SAS~

Answer

AA~

Answer

SSS~

Answer

Not Enough Info

Question 2

What theorem is described: Similarity exists if all three pairs of sides are proportional

Accepted Answer

SSS~

Answer

SAS~

Answer

AA~

Answer

Not Enough Info

Question 3

What theorem is described: Similarity exists if at least two pairs of corresponding angles are congruent

Accepted Answer

AA~

Answer

SAS~

Answer

SSS~

Answer

Not Enough Info

Question 4

You've got two triangles, proportionality exists between the corresponding pairs of sides, however, the angle is NOT included between the sides... What do you know about similarity?

Accepted Answer

Not Enough Info

Answer

SAS~

Answer

AA~

Answer

SSS~

Question 5

What Theorem would prove similarity in this situation?

Accepted Answer

SSS~

Answer

SAS~

Answer

AA~

Answer

Not Enough Information

Question 6

What Theorem would prove similarity in this situation?

Accepted Answer

AA~

Answer

SAS~

Answer

SSS~

Answer

Not Enough Information

Question 7

What Theorem would prove similarity in this situation?

Accepted Answer

Not Enough Information

Answer

SAS~

Answer

AA~

Answer

SSS~

Question 8

What Theorem would prove similarity in this situation?

Accepted Answer

SAS~

Answer

AA~

Answer

SSS~

Answer

Not Enough Information

Question 9

What's the scale factor between the figures if you are comparing Big Trap to Small Trap?

Accepted Answer

3 to 1

Answer

12 to 4

Answer

21 to 7

Answer

1 to 3

Question 10

Given the proof, what would the "Reason 1"

Accepted Answer

Given

Answer

Def of Parallel

Answer

Shared Angle

Answer

Corresponding

Question 11

Given the proof, what would be the "Reason 2" for $$\angle1\cong\angle1$$ ?

Accepted Answer

Shared Angle

Answer

Given

Answer

Def of Parallel

Answer

Corresponding

Question 12

Given the proof, what would be the "Reason 3" for $$\angle4\cong\angle2$$ ?

Accepted Answer

Corresponding

Answer

Given

Answer

Def of Parallel

Answer

Shared Angle

Question 13

Given the proof, what would be the "Reason 4" for $$\Delta ABE\sim\Delta ACD$$ ?

Accepted Answer

AA~

Answer

Given

Answer

SAS~

Answer

SSS~

Question 14

Angle Relationships: What congruent relationship is the result of two opposite angles being located at the intersection of two segments?

Accepted Answer

Vertical Angles

Answer

Shared Angles

Answer

Corresponding

Answer

Alt. Int.

Question 15

Angle Relationships: What congruent relationship is the result of two angles being located at the same location because the figures are overlapping?

Accepted Answer

Shared Angles

Answer

Corresponding

Answer

Alt. Int.

Answer

Vertical Angles

Question 16

Angle Relationships: What congruent relationship is the result of a pair of parallel lines where the angles formed are on opposite sides of the transversal line?

Accepted Answer

Alt. Int.

Answer

Shared Angles

Answer

Corresponding

Answer

Vertical Angles

Question 17

Angle Relationships: What congruent relationship is the result of a pair of parallel lines where the angles formed are in the same relative position and orientation?

Accepted Answer

Corresponding

Answer

Shared Angles

Answer

Alt. Int.

Answer

Vertical Angles

Question 18

Given the proof, which TWO Angle Relationships are NOT present?

Accepted Answer

Alternate Interior

Accepted Answer

Vertical Angles

Answer

Shared Angles

Answer

Corresponding

Question 19

Which of the following would be an INCORRECT similarity statement? (Recall that order is important in naming shapes, it should be consistent!)

Accepted Answer

$$\Delta ABC\sim\Delta ZYX$$

Answer

$$\Delta ABC\ \sim\ \Delta XYZ$$

Answer

$$\Delta CBA\sim\Delta ZYX$$

Answer

$$\Delta BAC\sim\Delta YXZ$$

Question 20

Which of the following is NOT a ratio between corresponding sides?

Accepted Answer

$$\frac{CZ}{AX}$$

Answer

$$\frac{AB}{XY}$$

Answer

$$\frac{BC}{YZ}$$

Answer

$$\frac{AC}{XZ}$$

Question 21

Given the question, what Triangle Theorem would be used to figure this out?

Accepted Answer

Triangle Sum Theorem

Answer

Complimentary Angle Theorem

Answer

Exterior Angle Theorem

Answer

Pythagorean Theorem

Question 22

What is the correct answer for this question?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 23

Are the shapes similar?

Accepted Answer

No - Scale Factors Don't Match

Answer

Yes - AA~

Answer

Yes - SAS~

Answer

Yes - SSS~

Question 24

Given IS || FT

Is IGS ~ FGT ?

Accepted Answer

Yes - AA~

Answer

No - Not Enough Information

Answer

Yes - SSS~

Answer

Yes - SAS~

Question 25

Similarity Exists... Which of the following is NOT a possible statement/reason combo?

Accepted Answer

$$\angle I\cong\angle T$$ b/c Alt. Int. Angles

Answer

$$\angle G\cong\angle G$$ b/c Shared Angles

Answer

$$\angle F\cong\angle I$$ b/c Corresponding

Answer

$$\angle S\cong\angle T$$ b/c Corresponding

Geometry ~ Similar Figures

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