Slope from Similar Triangles

Which of the following is true about the triangles shown on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent.

• The slopes of the two triangles are the same.

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

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

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

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

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

Which of the triangles would show a slope of 2/3? Check all that apply.

• Blue

• Green

• Red

Which of the triangles would show a slope of -1/2? check all that apply.

• Blue

• Green

• Red

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

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.

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

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 ABC and triangle EBD are similar right triangles. The coordinates of all vertices are integers. Which statement is true about the slope of BC and the slope of CD?

• The slope cannot be determined

• The slope of BC is greater than the slope of CD

• The slope of BC is less than the slope of CD

• The slope of BC is the same as the slope of CD

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