Quiz about Similar Slope Triangles

Question 1

Identify the slope of EF in triangle DEF.

Accepted Answer

1

Answer

-1

Answer

3

Answer

-3

Question 2

Identify the slope (AC) of triangle ABC.

Accepted Answer

-1/2

Answer

2

Answer

1/2

Answer

-2

Question 3

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

Accepted Answer

which is the same as the slope of triangle DEF.

Answer

3/4 which is the slope of hypotenuse of triangle DEF.

Answer

4/3 which is the slope of triangle DEF.

Answer

-1 which is the same as the slope of triangle DEF.

Question 4

Identify the slope (CA) of triangle ABC.

Accepted Answer

3

Answer

1/3

Answer

-3

Answer

-1/3

Question 5

Question 5.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 6

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

Accepted Answer

the same as the hypotenuse of triangle DEF

Answer

half of the slope of triangle DEF

Answer

twice the slope of the hypotenuse of DEF

Question 7

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

Accepted Answer

the same as the hypotenuse of triangle DEF

Answer

half of the slope of triangle DEF

Answer

twice the slope of the hypotenuse of DEF

Question 8

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

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.

Accepted Answer

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.

Answer

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.

Answer

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.

Answer

The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

Question 10

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

Accepted Answer

The same as the hypotenuse of triangle DEF

Answer

3/4 the slope of hypotenuse of triangle DEF

Answer

4/3 the slope of hypotenuse of triangle DEF

Question 11

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

Accepted Answer

slope

Answer

y-intercept

Answer

x

Answer

y

Question 12

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 13

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

Accepted Answer

Choice A

Answer

Choice B

Answer

Choice C

Answer

Choice D

Question 14

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 15

Which of the following is a true statement about the triangles on the graph?

Accepted Answer

The slopes of the two triangles are the same.

Answer

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

Answer

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

Answer

The triangles are congruent triangles.

Question 16

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

Accepted Answer

The slopes of the two triangles are the same.

Answer

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

Answer

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

Answer

The triangles are congruent. Congruent: same size, same shape.

Question 17

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

Accepted Answer

Yes, because their slopes both simplify to -6.

Answer

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

Answer

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

Question 18

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

Accepted Answer

$$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}$$

Answer

$$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{1-3}{1-\left(-5\right)}$$

Answer

$$\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}$$

Answer

$$\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}$$

Question 19

Find the slope of the line using slope triangles

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 20

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

Accepted Answer

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.

Answer

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

Answer

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

Answer

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

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