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UNIT
14
14.2: Reflect a Figure
16
Your classmate says that Triangle $$2$$ is the image of Triangle $$1$$ under a reflection in the line $$y = x$$. Give $$2$$ reasons why Triangle $$2$$ is not the image of Triangle $$1$$. Write down the steps to help your classmate graph the correct image. Use at least $$3$$ sentences and $$3$$ vocabulary terms.

# Key Vocabulary

line of reflection
perpendicular
equal distance
opposite sides
congruent
reflection
midpoint
preimage
image
tranformation
perpendicular bisector
• $$\triangle 2$$ is not the reflection of $$\triangle 1$$ because:

- The two triangles are not congruent.
- The triangles are not equal distances from the line of reflection.

Steps to draw the correct image:

1) Draw a perpendicular line from $$A$$ to the line of reflection and extend the line beyond the line
of reflection.
2) Measure the distance from $$A$$ to the line of reflection. $$A’$$ will be the same distance on the     other side of the line of reflection.
3) To find $$B’$$ and $$C’$$, repeat steps $$1$$ and $$2$$ for $$B$$ and $$C$$.
4) Join the vertices of $$A’$$, $$B’$$ and $$C’$$ to draw the image.
• Think of the properties of reflections.
• What do you know about the size of a figure and its reflection?
• What can you say about the distance of a figure and its reflection from the line of reflection?