Slope and Similar Triangles and Proportionality

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

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.

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

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

• A

• B

• C

• D

Triangle KLM and triangle PRS are similar right triangles. Which proportion can be used to show that the slope of KM is equal to the slope of PS?

Triangle ABC and triangle DEF are similar right triangles. Based on this information, which state is true?

• The slope of the line segment AC is less than the slope of the line segment DF.

• The slope of the line segment AC is equal to the slope of the line segment DF.

• The relationship of the slope of the line segment AC and the slope of the line segment DF cannot be determined.

• The slope of the line segment AC is greater than the slope of the line segment DF.

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

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

• y-intercept

• x

• slope

• y

Explain whether or not the triangles shown could lie on the same line.

• Yes, because their slopes both simplify to -6.

• Yes, because their slopes both simplify to 1/6.

• No, because -72/12 is not the same as -144/24