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31 votes
31 votes
In the diagram, DEC is a

of ABC across line m.

A. rotation
B. glide reflection
C. translation
D. reflection

In the diagram, DEC is a of ABC across line m. A. rotation B. glide reflection C. translation-example-1
User Xxa
by
3.2k points

1 Answer

23 votes
23 votes

Explanation:

This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)

Others reason why Why?

Line m is perpendicular to Line c.

B and E are equidistant from c that BC=CE.

Why the others are wrong.

While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.

A translation doesnt occur about a line.

A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.

User Sparik
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2.9k points