bellringer week 5
question 2 of 14 (1 point) | question attempt 1 of unlimited
complete the following.
your answer
(a)select all that apply.
$ \overline { d d ^ { \prime } } $ is parallel to $ \overline { e e ^ { \prime } } $, and $ \overline { d d ^ { \prime } } $ is perpendicular to $ \overline { f f ^ { \prime } } $.
$ \overline { d d ^ { \prime } } , \overline { e e ^ { \prime } } $, and $ \overline { f f ^ { \prime } } $ are each parallel to the line of reflection.
$ \overline { d d ^ { \prime } } , \overline { e e ^ { \prime } } $, and $ \overline { f f ^ { \prime } } $ are each perpendicular to the line of reflection.

Question

Accepted Answer

# Explanation:
## Step1: Recall the property of reflection
When a figure is reflected over a line (the line of reflection), the segments connecting a point and its image (e.g., $\overline{DD'}$, $\overline{EE'}$, $\overline{FF'}$) are perpendicular to the line of reflection.

## Step2: Analyze each option
- For the first option: $\overline{DD'}$ is parallel to $\overline{EE'}$ (since they are both perpendicular to the line of reflection, and two lines perpendicular to the same line are parallel). But $\overline{DD'}$ is perpendicular to $\overline{FF'}$ is wrong because $\overline{DD'}$ and $\overline{FF'}$ are both perpendicular to the line of reflection, so they are parallel.
- For the second option: $\overline{DD'}$, $\overline{EE'}$, and $\overline{FF'}$ are not parallel to the line of reflection.
- For the third option: By the property of reflection,  $\overline{DD'}$, $\overline{EE'}$, and $\overline{FF'}$ are each perpendicular to the line of reflection.

# Answer:
$\overline{DD'}$, $\overline{EE'}$, and $\overline{FF'}$ are each perpendicular to the line of reflection.

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the property of reflection

Step2: Analyze each option

Answer: