Slope Similar Right Triangles

Identify the slope of EF in triangle DEF.

• 1

• -1

• 3

• -3

Triangles QUS and RTS are graphed as shown. Which of the following best describes the slope of line QS?

• The slope is -1 because the ratio of the vertical height to the horizontal length simplifies to -1 for both triangle QUS and triangle RTS.

• The slope is -1 because the ratio of the horizontal length to the vertical height simplifies to 1 for both triangle QUS and triangle RTS.

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the verticces are integers. Which statement is true about the slope of line HK and the slope of line PK.

• The slope of line HK is less than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for line HK than it is for line PK.

• The slope of line HK is equal to the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for line HK as it is for line PK.

• The slope of line HK is greater than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for line HK than it is for line PK.

• The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

Triangle DEF and triangle GHI are similar triangles. Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hupotenuse of triangle GHI cannot be determined.

• The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.

The slope of a line is 3. Which of the following is a possible ratio of the vertical height of the right triangle to the horizontal length of the right triangle?

Which statement is not true?

• A and B

• D only

• C only

• A, B and D

Triangle MNP and JKL are similar right triangles. Between which pairs of points are the slopes the same? Choose all that apply.

• N and P; K and J

• M and P; J and L

• M and N; K and L

• N and P; J and L

Identify the slope (CA) of triangle ABC.

• 1/3

• 3

• -3

• -1/3

• 2/3

• 3/4

• 3/2

• 1/3

Identify the slope of the hypotenuse of triangle DEF.

• 1

• -1

• 3

• -3