Similarity Unit Test Review

Similarity Unit Test Review

Indirect Measure

Create similar triangles and set up a proportion to solve.

Multiple Choice

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

• 10
• 12
• 15
• 18

Multiple Choice

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

Multiple Choice

Which proportion could be used to solve for the height of the tree?

• h/6 = 24/4
• h/24 = 6/4
• h/4 = 24/6
• 24/4 = h/6

Similar Figures

All about proportions. But make sure you match up the correct sides.

And remember that corresponding angles are equal.

Multiple Choice

1.  Solve for x in the diagram below.

• 33
• 15
• 6.7
• 21.6

Multiple Choice

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

• 22.5 cm
• 8 cm
• 10.8 cm
• 30 cm

Multiple Choice

All angles in similar figures are congruent.  

• True
• False

Multiple Choice

In the diagram, ΔAEC ∼ ΔBED.  If AE = 18, BE = 6,  DE = 5, and the perimeter of triangle AEC is 45, what is the perimeter of triangle BED?

• 10
• 72
• 135
• 15

Right Triangle SImilarity

Use Pythagorean theorem....and the heartbeat and bunny tricks

Multiple Choice

In the diagram below of right triangle KLM, altitude  intersects  at D.  If KD = 7 and  DM = 18, find the length of LD to the nearest tenth.

• 63
• 126
• 11.2
• 11.3

Multiple Choice

Find the value of x.

• 12

• 60

• 64

• 80

Triangle Similarity Theorems

There are three

AA~

SAS~

SSS~

Multiple Choice

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ
• ΔNOM ∼ ΔPQL
• ΔLMN ∼ ΔPQO
• ΔMLN ∼ ΔPQO

Multiple Choice

Give the reason for similarity

• AA

• SAS

• SSS

• Not similar

Multiple Choice

If the triangles are similar, state how.

• SAS

• AA

• SSS

• Not similar

Multiple Choice

If the triangles are similar, state how.

• AA

• SAS

• SSS

• Not similar

Multiple Choice

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

• SP and SR

• QS and PT

• PS and RS

• TP and RQ

Multiple Choice

Find the value of x.

• 20

• 36

• 48

• 60

Multiple Choice

Find the value of x.

• 15

• 20

• 48

• 80

Dilations

Multiple Choice

What scale factor was used to produce the image?

• 2
• -2
• ¹/₂
• 1

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Multiple Choice

A dilation produces a congruent figure

• True

• False

Triangle Similarity Proofs

Multiple Choice

What reasons complete the proof?

• Given, AA Similarity Postulate
• Vertical Angle Theorem, AA Similarity Postulate
• Reflexive Property, SAS Similarity Postulate
• Definition of Angle Bisector, SSS Similarity Postulate

Multiple Choice

What is the Reasons for #2 and #3?

• #2 - Corresponding Angles

  #3 - AA ~

• #2 - Reflexive

  #3 - AA ~

• #2 - Reflexive

  #3 - SAS ~

• #2 - Corresponding Angles

  #3 - SAS ~

Multiple Choice

When proving these triangles similar, what would you write in for the missing reason?

• Math
• Corresponding sides are proportional
• Corresponding sides are congruent
• SSS similarity postulate

Triangle Proportionality Theorem

When you have a line inside the triangle parallel to the third side then it makes the sides proportional.

Multiple Choice

Solve for x

• 16
• 1.9
• 19
• 35

Multiple Choice

What can we conclude about MN and KL?

• They are parallel by Triangle Proportionality Theorem

• They are parallel by the Converse of the Triangle Proportionality Theorem

• They are congruent by SSS

• They will intersect 10 units down from N

Multiple Choice

Find the missing length indicated.

• 6

• 10

• 5

• 12

Multiple Choice

Solve for x

• 23.1
• 47.1
• 8.5
• 25

Multiple Choice

Find the missing length indicated.

• 30
• 25
• 45
• 50