Answer :
Answer: [tex]\overline{DE}[/tex]
Step-by-step 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 [tex]\overline{OP}[/tex]in the pre-image is [tex]\overline{DE}[/tex]. [Last two letters of the name of polygons]
Answer:
(B) DE
Step-by-step 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 [tex]\overline{OP}[/tex] in the pre-image is [tex]\overline{DE}[/tex].
Therefore, option B is correct.