Chapter 7 Quiz Review

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Chapter 7 Quiz Review

• Lessons 7.1-7.3

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You need to know

• How to write and reduce a ratio
• How to write and solve a proportion
• How to write a similarity statement, find a scale
  factor, and find x or y in a set of similar
  polygons
• How to determine if two triangles or other
  polygons are similar and justify your answer
  (corresponding sides are proportional and
  corresponding angles are congruent or for
  triangles AA Similarity, SAS Similarity, or SSS
  Similarity)

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1a. Find x and the length of each side of the
triangle.

• The three sides of a triangle are in the ratio
  245. The perimeter of the triangle is 253cm.

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1b. Find x and the length of each side of the
triangle.

• The three angles of a triangle are in the ratio
  456. Find the measure of each angle.

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2. Solve the Proportion
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3. Solve the Proportion
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4. Determine if the polygons are similar. Write a
similarity statement and find the scale factor.
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5. Determine if the triangles are similar. Write
a similarity statement, find the scale factor,
and find x.
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6. The quadrilaterals are similar, find x and CB.
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7. Determine if the triangles are similar,
justify your answer.
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8. Determine if the triangles are similar,
justify your answer.
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9. Find x, AB and BC.
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10. Find x, BC, and AC
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Answers

• 1a. 2x 4x 5x 253
• 11x 253
• x 23
• 46cm, 92cm, 115cm
• 1b. 4x 5x 6x 180
• 15x 180
• x 12
• 48, 60, 72 degrees

• 2. 5x9 6(x 2)
• 45 6x 12
• 33 6x
• x 5.5

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Answers

• 3. 6(x 7) 7(x 4)
• 6x 42 7x 28
• 42 x 28
• x 14

• 4. Triangle ABCTriangle EDF
• scale factor 1/1

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Answers

• 5. Yes they are similar by AA Similarity.
• scale factor

• 6.

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Answers

• 7. Yes by SSS similarity.

• 8. Yes by SAS Similarity.
• (all corresponding sides are in a ratio of 1/1)

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Answers

• 9.

• 10.