Slope from a Graph of Similar Triangles

Find the slope

• 4/5

• 5/4

• -5/4

• -4/5

Calculate the slope.

• -4/3

• 4/3

• -3/4

• 3/4

Find the slope of the line.

• -2/1

• 2/1

• -1/2

• 1/2

Identify the slope of the black line. You can use the blue slope triangles to help you.

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

• y-intercept

• x

• slope

• y

find the slope

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.

Identify the slope (AC) of triangle ABC.

• 2

• 1/2

• -2

• -1/2

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

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

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

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

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

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

• 30/3 = 10/1 = 10

• 3/30 = 1/10

• 3/3 = 1