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Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 10

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Last updated 11 months ago
8 questions
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Question 1
1.

Of the three lines in the graph, one has slope 1, one has slope 2, and one has slope \frac{1}{5} 

Label each line with its slope.

Question 2
2.

Draw three lines with slope 2, and three lines with slope \frac{1}{3}.

Question 3
3.

The figure shows two right triangles, each with its longest side on the same line.
  1. Explain how you know the two triangles are similar.

Question 4
4.

The figure shows two right triangles, each with its longest side on the same line.
  1. How long is XY?

Question 5
5.

The figure shows two right triangles, each with its longest side on the same line.
  1. For each triangle, calculate (vertical side) \div (horizontal side).(If your answer is a fraction leave it as one)

Question 6
6.

The figure shows two right triangles, each with its longest side on the same line.
  1. What is the slope of the line? (If your answer is a fraction leave it as one)

Question 7
7.

Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.

Explain how you know that Triangle B is not similar to Triangle A.

Question 8
8.

Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.

Give possible side lengths for Triangle B so that it is similar to Triangle A.

"Source: Open Up Resouces (Download for free at openupresources.org.)"