Quiz about Similar Triangle Proportions Slope

Question 1

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.

Question 2

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 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.

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 4

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?

Accepted Answer

$$\frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}$$

Answer

$$\frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}$$

Answer

$$\frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}$$

Answer

$$\frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}$$

Question 5

Identify the slope (AC) of triangle ABC.

Accepted Answer

-1/2

Answer

2

Answer

1/2

Answer

-2

Question 6

Identify the slope of EF in triangle DEF.

Accepted Answer

1

Answer

-1

Answer

3

Answer

-3

Question 7

find the slope

Accepted Answer

3/2

Answer

-3/2

Answer

(-0,-3)

Answer

none of the above

Question 8

Identify the slope of the black line. You can use the blue slope triangles to help you.

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{1}{3}$$

Question 9

Which of these lines has a slope of -3?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

Accepted Answer

30/3 = 10/1 = 10

Answer

3/30 = 1/10

Answer

3/3 = 1

Question 12

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 13

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

Accepted Answer

yes

Answer

no

Question 14

What is the ordered pair for point E?

Accepted Answer

(-3, 0)

Answer

(3, 0)

Answer

(0,4)

Answer

(0, -3)

Question 15

The vertical number line is called the __________?

Accepted Answer

y-axis

Answer

x-coordinate

Answer

x-axis

Answer

y-coordinate

Question 16

The horizontal number line is called the _____________?

Accepted Answer

x-axis

Answer

y-axis

Answer

y-coordinate

Answer

x-coordinate

Question 17

Coordinate points (-1, 1) would lead me to which plot point?

Accepted Answer

J

Answer

H

Answer

G

Answer

A

Question 18

Where is the tomato?

Accepted Answer

(2, 2)

Answer

(8, 1)

Answer

(5, 2)

Answer

(4, 9)

Question 19

What is the ordered pair for point A?

Accepted Answer

( 2, 0)

Answer

( 0 , 2)

Answer

(0, -2)

Answer

(-2,0)

Question 20

The __________ is a measure of the steepness of a line, or a section of a line, connecting two points.

Accepted Answer

Slope

Answer

Table

Answer

Identity

Answer

Y-Intercept

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