Math Slope in Triangles

Two similar right triangles are shown in the coordinate plane. Point P lies on line segment PR. Which statement best compares the slope of PQ to the slope of PR.

• PQ and PR have the same length, so the slopes must be equal.

• The lengths of the corresponding legs of the two triangles are proportional because they are similar, so the slopes must be equal.

• The horizontal distance from P to Q is 2 units, but the vertical distance is 4 units, so the slopes can't be equal.

• The short leg of the large triangle is the same length as the long leg of the small triangle, so the slopes cannot be equal.

The point (-2, y) is on the same line as the points (1, 2) and (7, -1). What is the value of y?

What is the slope of the line shown by the similar triangles in the graph?

• -4/3 = -8/6 = /4/3

• -4/-3 = -8/-6 = 4/3

• 3/-4 = 6/-8 = -3/4

• 3/4 = 6/8 = 3/4

Triangle KLM and triangle PRS are similar right triangles.

Which proportion can be used to show that the slope of KM is equal to the slope of PS?

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• A

• B

• C

• D

• F

• G

• H

• J

Find the slope of the line using slope triangles

• A

• B

• C

• D

Which of the following is a true statement about the triangles on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent triangles.

• The slopes of the two triangles are the same.

Find the slope of the line using slope triangles

• A

• B

• C

• D

Find the slope of the line using slope triangles

• A

• B

• C

• D