Chapter 2 Test Review: Similarities and Dilations

Parallelogram GHIJ and triangle KLMN are similar. Which proportion below must be true?

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CCSS.HSG.SRT.A.2

The two triangles are similar. Using the given diagrams, determine the side FG.

• 35 cm

• 28 cm

• 40 cm

• 22 cm

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CCSS.HSG.SRT.A.2

What similarity statement about the similar triangles is true?

(Hint: think about how they are named!)

• ΔEFG ∼ ΔMNL

• ΔGFE ∽ ΔNLM

• ΔEFG ∽ ΔLMN

• ΔEFG ∽ ΔLNM

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CCSS.HSG.SRT.A.2

Brooklynn dilated a figure by a scale factor of 4. Check all statements that are true.

• The new figure will be smaller than the original figure.

• The perimeter of the new figure will be 4 times the perimeter of the original figure.

• The area of the new figure will be 16 times the area of the original figure.

• The new figure will be larger.

• The area of the new figure will be 4 times the area of the original figure.

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CCSS.7.G.A.1

The two shapes below are similar. Determine side EF. Round to the nearest tenth.

• 4.7

• 10.5

• 3.5

• 5.3

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CCSS.HSG.SRT.A.2

Which is NOT a true statement about the figures shown below?

• The image is smaller than the pre-image.

• Triangle GHI is similar to Triangle G'H'I'.

• The rule

  (x, y) → (1/3 x, 1/3 y) represents the transformation.

• The dilation represents an enlargement.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

The coordinates to the left represent a triangle that was dilated. What was the scale factor that was used in the dilation?

• The scale factor is 2/3.

• The scale factor is 3/2.

• The scale factor is 1/2.

• The scale factor is 1/3.

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CCSS.8.G.A.3

Which of the following algebraic representations shows a dilation that is an enlargement?

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CCSS.HSG.CO.A.2

Which of the following algebraic representations represents a dilation that is a reduction?

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CCSS.HSG.CO.A.2

Luke cut out a small rectangular picture from a newspaper comic strip for an art project. He then made a proportional enlargement of this picture on a poster. He used a scale factor of 2.5 to create the rectangular poster. If the two rectangles are similar, what is the height of the poster?

• 15 cm

• 10 cm

• 20 cm

• 25 cm

Tags

CCSS.7.G.A.1