Slope and Similar Triangles

Which of the following best describes the slope of AC?

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Identify the Scale Factor. Click on image to see.

• 1/6

• 6

• 1/5

• 5

Find the slope of the line.

The hypotenuse of two similar right triangles are segments of the same line. The slopes must be the same but not the lengths. True or False.

• True

• False

Triangles ABC and DEF are similar. The slope of triangle ABC is...

• which is the same as the slope of triangle DEF.

• 3/4 which is the slope of hypotenuse of triangle DEF.

• 4/3 which is the slope of triangle DEF.

• -1 which is the same as the slope of triangle DEF.

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.

When given two similar triangles on the same line, they will ALWAYS have the same _______________?

• y-intercept

• x

• slope

• y

Which shows a proportion comparing the rise and run for each of the similar slope triangles, and the numeric value?

• Choice A

• Choice B

• Choice C

• Choice D

Triangles ABC and DEF are similar. The slope of the hypotenuse of ABC is...

• the same as the hypotenuse of triangle DEF

• half of the slope of triangle DEF

• twice the slope of the hypotenuse of DEF

Triangles ABC and DEF are similar. The slope of the hypotenuse of ABC is...

• The same as the hypotenuse of triangle DEF

• 3/4  the slope of hypotenuse of triangle DEF

• 4/3  the slope of hypotenuse of triangle DEF