Quiz about Similar Triangle Proportions Slope

Question 1

How do these triangles appear to be similar?

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

Not Similar

Question 2

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

Not Similar

Question 3

Find the missing length indicated.

Accepted Answer

45

Answer

30

Answer

25

Answer

50

Question 4

Two similar triangles $$\Delta ABC$$ and $$\Delta EDC$$ are shown in the image. Which of these proportions has ratios that are equal to the slope of $$\overline{AE}$$ ?

Accepted Answer

$$\frac{BC}{AB}=\frac{CD}{DE}$$

Answer

$$\frac{AB}{CD}=\frac{DE}{BC}$$

Answer

$$\frac{AB}{DE}=\frac{BC}{CD}$$

Answer

$$\frac{BC}{AC}=\frac{CD}{CE}$$

Question 5

Which of the following statments is TRUE of triangles FGH and HJK in the image.

Accepted Answer

Because FGH and HJK are similar, the slope is the same between any 2 distinct points on the line

Answer

The absolute value of the slope of the line is equal to $$\frac{HJ}{FG}$$

Answer

The absolute value of the slope is equal to $$\frac{FG}{JK}$$

Answer

Because FGH and HJK are not similar, the slope is found by using 2 distinct points on one of the triangles.

Question 6

On the coordinate plane in the image, triangle PQR is similar to triangle RST. The corresponding side lengths of triangle RST and triangle PQR are in the ratio of 3:1. What is the equation of the line containing the points P and T.

Accepted Answer

$$y=2x$$

Answer

$$y=\frac{2}{3}x$$

Answer

$$y=\frac{3}{2}x$$

Answer

$$y=3x$$

Question 7

Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 8

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

Accepted Answer

proportional, congruent

Answer

congruent, proportional

Answer

congruent, congruent

Answer

proportional, proportional

Question 9

Are the triangles similar? Explain.

Accepted Answer

No, because only one angle of the triangles is congruent.

Answer

Yes, because two of the angles are congruent.

Answer

No, because only one triangle has a right angle.

Answer

Not enough information to determine.

Question 10

Solve the proportion.

Accepted Answer

k=5

Answer

k=3.3333333

Answer

k=60

Answer

k=90

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