Slope of Similar Triangles Sides

Identify the slope (AC) of triangle ABC.

• 2

• 1/2

• -2

• -1/2

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

The __________ is a measure of the steepness of a line, or a section of a line, connecting two points.

• Table

• Identity

• Slope

• Y-Intercept

Fill in the equation using the slope triangle and the red point (3,2).

b

c

d

e

4

5

2

3

7

Use the triangles to help you identify the slope! Remember to simplify!

rise/run

• 1/3

• 3

• -3

• -1/3

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.

The two green triangles are proportional because they...

• HAVE THE SAME SLOPE?

• DO NOT HAVE THE SAME SLOPE

• ARE GREEN

Which statement is not true?

• A and B

• D only

• C only

• A, B and D

What is the ratio (rise over run) of both traingles?

• 1

• 3

• 4/3

They have the same slope?

• TRUE

• FALSE