Slope of Triangles

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 DEF...

• are different sizes,

  so their slopes are different.

• are on the same line,

  so they have the same slope.

Triangles ABC and DEF are similar. The slope of the hypotenuse of ABC is...

• the SAME as the slope of the hypotenuse of triangle DEF

• LESS THAN the slope of the hypotenuse of triangle DEF

• GREATER THAN the slope of the hypotenuse of triangle DEF

Identify the slope of EF in triangle DEF.

• 1

• -1

• 3

• -3

Identify the slope (CA) of triangle ABC.

• 1/3

• 3

• -3

• -1/3

Identify the slope of the hypotenuse of triangle ABC.

• 1

• -1

• 3

• -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.

Triangle MNP and JKL are similar right triangles. Between which pairs of points are the slopes the same? Choose all that apply.

• N and P; K and J

• M and P; J and L

• M and N; K and L

• N and P; J and L

Identify the slope of the hypotenuse of triangle DEF.

• 1

• -1

• 3

• -3