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Slopes of Similar Triangles

Quiz by Nicole Williamson

Grade 8
Math (Archived)
Texas Essential Knowledge and Skills (TEKS)

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5 questions
Show answers
  • Q1
    Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?
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    120s
    8.4.A: Proportionality
  • Q2
    Triangles JKL and MNO are similar right triangles. Which proportion can be used to show that the slope of JL is equal to the slope of MO?
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    120s
    8.4.A: Proportionality
  • Q3
    Triangles EFG and KHG are similar right triangles. Which proportion can be used to show that the slope of FG is equal to the slope of GK?
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    120s
    8.4.A: Proportionality
  • Q4
    Carrie says that because triangles DEF and ABC are similar right triangles, the slope of AC and the slope of DF are equal. Robert says that the slope of AC and the slope of DF cannot be determined because they are congruent. Who is correct and why?
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    Robert is correct because the triangles are congruent.
    Carrie is correct because as long as they are on the same line, the hypotenuse of similar right triangles will have equal slopes.
    Carrie is correct because the triangles are equilateral.
    Robert is correct because the hypotenuse of the triangles do not lie on the same line so we can not calculate the slope.
    120s
    8.4.A: Proportionality
  • Q5
    Steven says that the hypotenuse of the triangle PTA will have the same slope as the hypotenuse of the triangle RID because they lie on the same line. Julissa says that the slope of RD will be opposite of the slope PA because the triangles are not similar. Who is correct and why?
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    Julissa is correct because triangle PTA is obtuse and triangle RID is equilateral.
    Julissa is correct because the triangles are congruent and do not lie on the same line.
    Steve is correct because they are similar and are on the same line.
    Steve is correct because they are congruent and obtuse.
    120s
    8.4.A: Proportionality

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