Quiz about Analyze Reflections

Question 1

How does a reflection affect the properties of a two-dimensional figure?

Select all that may apply.

Accepted Answer

The orientation of the figure and the orientation of the vertices changed.

Accepted Answer

The preimage and image are congruent.

Accepted Answer

The figures are flipped and mirror images of one another.

Answer

The preimage and image are not congruent.

Answer

The orientation of the figure and the orientation of the vertices stays the same.

Question 2

What do you notice about the corresponding coordinates of the preimage and image after a reflection across the x-axis?

Accepted Answer

x-values: stayed the same

y-values: turned opposite

$$\left(x,y\right)\rightarrow\left(x,-y\right)$$

Answer

x-values: turned opposite

y-values: stayed the same

$$\left(x,y\right)\rightarrow\left(-x,y\right)$$

Answer

x-values: turned opposite

y-values: turned opposite

$$\left(x,y\right)\rightarrow\left(-x,-y\right)$$

Answer

x-values: stayed the same

y-values: stayed the same

$$\left(x,y\right)\rightarrow\left(x,y\right)$$

Question 3

Jorge said the y-values would stay the same when you reflect a preimage across the line y=5 since the y-values stay the same when you reflect a preimage across the y-axis. Is Jorge correct? Explain.

Accepted Answer

Jorge is incorrect. y = 5 is a horizontal that would reflect over. The x-axis is also horizontal which changes the y-values.

Answer

Jorge is correct. y = 5 is a vertical like the y-axis and would cause the y-values to stay the same.

Question 4

Is $$\Delta\ X$$ a reflection of $$\Delta XYZ$$ across line g?

Accepted Answer

yes

Answer

no

Question 5

Describe the reflection of figure EFGH.

Accepted Answer

Reflected over the line y = 4

Answer

Reflected over the x-axis

Answer

Reflected over the y-axis

Answer

Reflected over the line x = 4

Question 6

Is the triangle A'B'C' a reflection of triangle ABC across the line? Explain.

Accepted Answer

No, because the orientation of figure and vertices are the same. That is a characteristic of translation.

Answer

Yes, because the figures are mirror images of one another.

Question 7

Your friend gives you the graph of quadrilateral ABCD and its image, quadrilateral A'B'C'D'.

What reflection produces this image?

Accepted Answer

x = 1

Answer

y = 1

Answer

y-axis

Answer

x-axis

Question 8

Your friend incorrectly says that the reflection of triangle EFG to its image E'F'G' is a reflection across the x-axis.

What is your friend's mistake?

Accepted Answer

The friend did not graph over the x-axis.

Answer

The friend did not make a mistake.

Answer

The friend reflected over the y-axis

Answer

The friend flipped the triangles.

Question 9

Your friend incorrectly says that the reflection of triangle EFG to its image E'F'G' is a reflection across the x-axis.

What is the correct description of the reflection?

Accepted Answer

The friend reflected over the line y = -1

Answer

reflected over x = 2

Answer

The friend reflected over the y-axis

Answer

The friend reflected over y = 1

Question 10

The vertices of triangle ABC are A(-5, 5), B(-2, 5), C(-2, 3).

If triangle ABC is reflected across the line y = -1, find the coordinates of the vertex C'.

Accepted Answer

(-2, -5)

Answer

(2, 3)

Answer

(2, -3)

Answer

(-2, 5)

Question 11

Triangle JAR has vertices J (4, 5) , A(6, 4), and R(5, 2).

Which graph shows triangle JAR and its image after a reflection across the line x = 1?

Accepted Answer

Analyze Reflections

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics