Analyze Reflections

A reflection affects the properties of a two-dimensional figure by:

• Changing its size

• Changing its shape

• Changing its orientation

• Changing its color

What do you notice about the corresponding coordinates of the preimage and image after a reflection across the x-axis?

Jorge said the y-values would stay the same when you reflect a preimage across the line y = 5 since the y-values stay the same when you reflect a preimage across the y-axis. Is Jorge correct?

(a)  

• Yes, Jorge is correct because he followed the right procedure.

• No, Jorge is not correct because he made a mistake
• Yes, Jorge is correct because his assumptions were accurate.

• No, Jorge is not correct because he misunderstood the problem.

Is ΔX'Y'Z' a reflection of ΔXYZ across line g?

(a)  

• True
• False

Identify the line of reflection of figure EFGH using the coordinate grid.

What is the coordinate for Point E' when the figure EFGH is reflected across x = -1?

Find K' if the figure is reflected across the x-axis

What is the rule for the following reflection? 

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

If a point remains unchanged after a reflection, then it lies on...

(a)  

• the line of symmetry (reflection)
• itself

• the origin

• point (5,6)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

As shown in the diagram below, when right triangle DAB is reflected over the x-axis, its image is triangle DCB. Which statement justifies why side AB is congruent to side CB?

(a)  

• Distance is preserved under reflection.
• Orientation is preserved under reflection.

• Points on the line of reflection remain invariant.

• Right angles remain congruent under reflection.

• A reflection is a non-Rigid transformation, so triangle ADB and triangle CDB must have proportional sides.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8