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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

(a)  

• True
• False

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the rule for the following reflection? 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.8.G.A.3

CCSS.HSG.CO.A.5

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