Quiz about Similar

Question 1

Question 1.

Accepted Answer

4

Answer

7

Answer

12

Answer

6

Question 2

Review the picture. Find the missing side measurement in the picture using a proportion.

Accepted Answer

w = 6 m

Answer

w = 18 m

Answer

6 m

Answer

w = 0.16 m

Question 3

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SAS

Answer

AA

Answer

SSS

Answer

not similar

Question 4

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

Not similar

Question 5

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

not similar

Answer

SAS

Answer

AA

Answer

SSS

Question 6

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SAS

Answer

AA

Answer

SSS

Answer

NOT SIMILAR

Question 7

Complete each proportion.
CB / DM = AC / ?

Accepted Answer

AD

Answer

BM

Answer

MA

Answer

BC

Question 8

Which statement is true?

Accepted Answer

$$\angle E=\angle B$$

Answer

$$\angle A\ =\angle E$$

Answer

$$\angle F=\angle B$$

Answer

$$\angle C=\angle D$$

Question 9

True or False: These two triangles are NOT similar.

Accepted Answer

False

Answer

True

Question 10

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

not similar

Question 11

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

Not Similar

Answer

AA

Answer

SAS

Answer

SSS

Question 12

Which of the following pairs of angles are similar?

Accepted Answer

$$45^\circ$$ and $$135^\circ$$

Answer

$$30^\circ$$ and $$150^\circ$$

Answer

$$60^\circ$$ and $$120^\circ$$

Answer

$$90^\circ$$ and $$180^\circ$$

Question 13

Which of the following triangles are similar by AA (Angle-Angle) criterion?

Accepted Answer

Triangle with angles $$30^\circ, 60^\circ, 90^\circ$$ and triangle with angles $$60^\circ, 30^\circ, 90^\circ$$

Answer

Triangle with angles $$45^\circ, 45^\circ, 90^\circ$$ and triangle with angles $$30^\circ, 60^\circ, 90^\circ$$

Answer

Triangle with angles $$60^\circ, 60^\circ, 60^\circ$$ and triangle with angles $$30^\circ, 60^\circ, 90^\circ$$

Answer

Triangle with angles $$30^\circ, 60^\circ, 90^\circ$$ and triangle with angles $$30^\circ, 60^\circ, 90^\circ$$

Question 14

Which of the following quadrilaterals are similar?

Accepted Answer

Square and Square

Answer

Square and Rectangle

Answer

Rectangle and Parallelogram

Answer

Square and Rhombus

Question 15

Which of the following pairs of numbers are similar in terms of their prime factorization?

Accepted Answer

12 and 18

Answer

15 and 25

Answer

21 and 35

Answer

14 and 28

Question 16

Which of the following functions are similar in terms of their graphs?

Accepted Answer

$$y = x^2$$ and $$y = 2x^2$$

Answer

$$y = x^2$$ and $$y = -x^2$$

Answer

$$y = x^2$$ and $$y = x^3$$

Answer

$$y = x^2$$ and $$y = x + 2$$

Question 17

Which of the following sequences are similar in terms of their pattern?

Accepted Answer

Arithmetic sequence and Arithmetic sequence

Answer

Arithmetic sequence and Geometric sequence

Answer

Arithmetic sequence and Harmonic sequence

Answer

Geometric sequence and Harmonic sequence

Question 18

Which of the following matrices are similar?

Accepted Answer

$$\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$$ and $$\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$$ and $$\begin{pmatrix} 2 & 4 \ 6 & 8 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}$$ and $$\begin{pmatrix} 0 & 1 \ 1 & 0 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$$ and $$\begin{pmatrix} 4 & 3 \ 2 & 1 \end{pmatrix}$$

Question 19

Which of the following sets of vectors are similar in terms of direction?

Accepted Answer

$$\begin{pmatrix} 1 \ 2 \end{pmatrix}$$ and $$\begin{pmatrix} 2 \ 4 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 \ 2 \end{pmatrix}$$ and $$\begin{pmatrix} -1 \ -2 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 \ 2 \end{pmatrix}$$ and $$\begin{pmatrix} 2 \ 3 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 \ 2 \end{pmatrix}$$ and $$\begin{pmatrix} 3 \ 6 \end{pmatrix}$$

Question 20

Which of the following pairs of fractions are similar in terms of their decimal representation?

Accepted Answer

$$\frac{1}{2}$$ and $$\frac{2}{4}$$

Answer

$$\frac{1}{3}$$ and $$\frac{2}{6}$$

Answer

$$\frac{1}{4}$$ and $$\frac{3}{12}$$

Answer

$$\frac{1}{5}$$ and $$\frac{2}{10}$$

Question 21

Which of the following pairs of polynomials are similar in terms of their degree?

Accepted Answer

$$x^3 + 3x^2 + 3x + 1$$ and $$x^3 - 3x + 2$$

Answer

$$x^2 + 2x + 1$$ and $$x^2 - 4$$

Answer

$$x^3 + 3x^2 + 3x + 1$$ and $$x^2 + 2x + 1$$

Answer

$$x^2 + 2x + 1$$ and $$x^3 - 3x + 2$$

Question 22

Which of the following pairs of shapes are similar in terms of their properties?

Accepted Answer

Circle and Ellipse

Answer

Square and Rectangle

Answer

Triangle and Quadrilateral

Answer

Circle and Sphere

Question 23

Which of the following pairs of numbers are similar in terms of their divisibility by 3?

Accepted Answer

9 and 12

Answer

10 and 15

Answer

8 and 14

Answer

7 and 11

Question 24

Which of the following pairs of expressions are similar in terms of their simplification?

Accepted Answer

$$(x+1)^2$$ and $$x^2 + 2x + 1$$

Answer

$$(x-1)^2$$ and $$x^2 - 2x + 1$$

Answer

$$(x+2)^2$$ and $$x^2 + 4x + 4$$

Answer

$$(x+3)^2$$ and $$x^2 + 6x + 9$$

Question 25

Which of the following pairs of angles are similar in terms of their trigonometric ratios?

Accepted Answer

$$45^\circ$$ and $$45^\circ$$

Answer

$$30^\circ$$ and $$60^\circ$$

Answer

$$45^\circ$$ and $$90^\circ$$

Answer

$$30^\circ$$ and $$90^\circ$$

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