Unit Test - Transformations

Which pair of non-congruent figures must be similar?

• two squares

• two parallelograms (not rectangles)

• two right triangles

• two isosceles triangles (not equilateral)

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which describes how square S could be transformed to square S' in two steps? Assume that the center of dilation is the origin.

• a dilation by a scale factor of 2/5 and then a translation of 3 units up

• a dilation by a scale factor of 2/5 and then a reflection across the x-axis

• a dilation by a scale factor of 5/2 and then a translation of 3 units up

• a dilation by a scale factor of 5/2 and then a reflection across the x-axis

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin?

• (–9, 9)

• (9, –9)

• (–1, 1)

• (1, –1)

Tags

CCSS.8.G.A.3

What is the scale factor in the dilation?

• 
  

  $\frac{2}{5}$
  

• $\frac{1}{2}$

• $2$

• $2\ \frac{1}{2}$

Tags

CCSS.8.G.A.3

Triangle JKL is transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis, creating triangle J’’K’’L’’. Which transformation will map J’’K’’L’’ back to JKL?

• a reflection over the y-axis and then a 90degree clockwise rotation about the origin

• a reflection over the x-axis and then a 90degree counterclockwise rotation about the origin

• a reflection over the x-axis and then a 90degree clockwise rotation about the origin

• a reflection over the x-axis and then a reflection over the y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)?

• a 180degree rotation about the origin

• a 90degree counterclockwise rotation about the origin and a translation down 4 units

• a 90degree clockwise rotation about the origin and a reflection over the y-axis

• a reflection over the y-axis and then a 90degrees clockwise rotation about the origin

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rectangle JKLM is rotated 90° clockwise about the origin.

What are the coordinates of J’?

• J’(–1, –4)

• J’(4, –1)

• J’(1, 4)

• J’(4, 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation?

• 90 degrees clockwise rotation

• 180 degrees rotation

• 90 degrees counterclockwise rotation

• 270 degrees clockwise rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which statement correctly describes the diagram?

• Triangle B is a reflection of triangle A across the x-axis. Triangle C is not a reflection of triangle A..

• Triangle B is a reflection of triangle A across the y-axis. Triangle C is a reflection of triangle A across the line y=x+3

• Triangle B is a reflection of triangle A across the y-axis. Triangle C is not a reflection of triangle A.

• Triangle B is a reflection of triangle A across the x-axis. Triangle C is a reflection of triangle A across the line y=x+3

Tags

CCSS.HSG.CO.A.2

Triangle XYZ is reflected across the line y=x , and X’ = (2, –15). What are the coordinates of X?

• (–15, 2)

• (–2, 15)

• (2, 15)

• (–15, –2 )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5