Question

Polygon ABCDE is the result of a reflection of polygon LMNOP over the line. Which line segment in the image corresponds to OP¯¯¯¯¯ in the pre-image?

EA¯¯¯¯¯

DE¯¯¯¯¯

BC¯¯¯¯¯

CD¯¯¯¯¯

AB¯¯¯¯¯

Answer 1

(B) DE

Explanation:

Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

To find: A line segment in the image corresponds to OP in the pre-image.

Solution: It is given that Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

Also, we know that reflection maps a congruent image, therefore polygon ABCDE is congruent to polygon LMNOP.

And, if two polygons are congruent then their corresponding sides are congruent, thus

LM=AB

MN=BC

NO=CD

OP=DE

AE=LP

Hence, the line segment in the image corresponds to
`\overline{OP}` in the pre-image is
`\overline{DE}`.

Therefore, option B is correct.

Answer 2

Answer:
`\overline{DE}`

Explanation:

Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

Since reflection preserves the size of the figure and maps a congruent image .

Therefore, polygon ABCDE is congruent to polygon LMNOP

Also, we know that if two polygons are congruent then their corresponding sides are equal.

Then, LM=AB

MN=BC

NO=CD

OP=DE

AE=LP

So , the line segment in the image corresponds to
`\overline{OP}`in the pre-image is
`\overline{DE}`. [Last two letters of the name of polygons]