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

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

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 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 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 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.

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

The slopes of the two triangles are the same.

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.

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

The slope of line CA is $$-\frac{3}{2}$$ . Which of the following is true about the slope of line XZ?

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 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 one-half the slope of line CA because the ratio of corresponding sides between the triangles is $$\frac{1}{2}$$ .

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

Slope and Similar Triangles

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the triangles to help you identify the slope! Remember to simplify!
rise/run

1/2

-2

-1/2

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the triangles to help you identify the slope! Remember to simplify!
rise/run

-1

-3

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the triangles to help you identify the slope! Remember to simplify!
rise/run

1/3

-3

-1/3

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the triangles to help you identify the slope! Remember to simplify!
rise/run

3/4

4/3

-1

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Triangles ABC and DEF are similar. The slope of triangle ABC is...

EQUAL TO the slope of triangle DEF.

LESS THAN the slope of triangle DEF.

GREATER THAN the slope of triangle DEF.

Tags

CCSS.8.EE.B.6

MULTIPLE CHOICE QUESTION

1 min • 5 pts

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

Tags

CCSS.8.EE.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the similar slope triangles to determine the slope of the line.

2/3

3/2

-2/3

-3/2

Tags

CCSS.8.EE.B.6

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Slope and Similar Triangles

Use the triangles to help you identify the slope! Remember to simplify!rise/run

Use the triangles to help you identify the slope! Remember to simplify!rise/run

Use the triangles to help you identify the slope! Remember to simplify!rise/run

Use the triangles to help you identify the slope! Remember to simplify!rise/run

Triangles ABC and DEF are similar. The slope of triangle ABC is...

Which shows a proportion comparing the rise and run for each of the similar slope triangles, and the numeric value?

Use the similar slope triangles to determine the slope of the line.

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

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

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Use the triangles to help you identify the slope! Remember to simplify!
rise/run

Use the triangles to help you identify the slope! Remember to simplify!
rise/run

Use the triangles to help you identify the slope! Remember to simplify!
rise/run

Use the triangles to help you identify the slope! Remember to simplify!
rise/run