Rigid Motions Without Coordinate Plane and Symmetry

A reflection over the x−axis maps ΔABC to ΔA′B′C′.  Do the preimage and image have the same size and shape? Explain. Choose the correct answer below. 

• No. A reflection preserves only lengths of sides. 

• Yes. A reflection preserves both angle measures and lengths of sides. 

• No. A reflection preserves neither angle measures nor lengths of sides. 

• No. A reflection preserves only angle measures. 

Tags

MA.912.GR.2.2

MA.912.GR.2.6

(Honors Only Question)

Consider ΔABC that has been transformed through rigid motions and its image is compared to ΔXYZ. Determine if the given information is sufficient to draw the provided conclusion.   (Please type True or False for each box)

(a)  

Tags

MA.912.GR.2.7

Triangle JKL is reflected across x = 0 and then translated 5 units up to create ΔJʹKʹLʹ. Are the two figures congruent? Explain. 

• No; a reflection changes the orientation of a figure, so the figures are not congruent. 

• No; a translation changes the position of a figure, so the figures are not congruent. 

• Yes, reflections and translations preserve lengths and angle measures, so the figures are congruent. 

• There is not enough information.

Tags

MA.912.GR.2.7

select ALL the isometries

• translation

• reflection

• rotation

• dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

select ALL the transformations that create congruent images

• translation

• reflection

• rotation

• dilation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

select ALL the transformations that produce similar images

• translation

• reflection

• rotation

• dilation

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

select ALL the transformations that produce images with congruent angles

• translation

• reflection

• rotation

• dilation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

select ALL the transformations that produce images that are the same shape

• translation

• reflection

• rotation

• dilation

Tags

CCSS.8.G.A.3

select ALL the letters with line symmetry

• E

• B

• H

• P

• F

Tags

CCSS.4.G.A.3

select ALL transformations that preserve distance

• translation

• reflection

• rotation

• dilation

Tags

CCSS.HSG.CO.A.2