Slope and Similar Triangles Rise Over Run

• The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

• The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equivalent.

• The is no relationship between the slope of line XZ and the slope of line CA.

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

Select the triangle that could lie on a line with a slope of 3/2.

• 
• 
• 

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

The two triangles are similar. Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

• yes

• no