Geometry Best

Figure 1 is reflected about the x−axis and then translated four units left. Which figure results?

• Figure A 

• Figure B 

• Figure C 

• Figure D 

Tags

MA.912.GR.2.5

Which congruence transformations map ΔXYZ to ΔX’’Y’’Z’’? Select all that apply. 

• reflection in the y-axis, followed by a reflection in the x-axis 

• rotation of 90° counterclockwise about the origin, followed by a reflection in the y-axis 

• rotation of 270° counterclockwise about the origin, followed by a reflection in the x-axis 

• reflection in the x-axis, followed by a reflection in the y-axis 

• reflection in the x-axis, followed by a rotation of 90° counterclockwise about the origin 

Tags

MA.912.GR.2.6

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

Which best describes the composition of transformations that maps JKLM to PQRS?

• Dilation: (x, y)

  →→

  (3x, 3y) 

  Reflection:

  rline nrline n

   

   

• Dilation: (x, y)

  →→

  (3x, 3y) 

  Translation: (x, y)

  →→

  (x – 2, y – 5) 

Tags

MA.912.GR.2.8

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

Quadrilateral ABCD has vertices A(−1,3), B(−1,7), C(−5,7), and D(−5,3) . Vertex B is translated 4 units up and the other vertices do not change position. How much larger is the area of quadrilateral AB'CD than the area of quadrilateral ABCD ? 

• 3 times larger

• 2.5 times larger 

• 2 times larger 

• 1.5 times larger 

Tags

MA.912.GR.2.2

ΔXYZ with vertices X(4, 8), Y(12, 14), and Z(8, 12) is dilated by a scale factor of 0.25 and then is rotated 90° clockwise about the origin. Determine which quadrant the image is located in without performing the transformations 

• Quadrant I

• Quadrant II 

• Quadrant III 

• Quadrant IV 

Tags

MA.912.GR.2.3

Tags

MA.912.GR.2.3

Which sequence of transformations maps ΔABC onto ΔDEF?

• A reflection over the x−axis followed by a reflection over the y−axis 

• A 180° rotation about the origin followed by a reflection over the line y = x 

• A 90° clockwise rotation about the origin followed by a reflection over the y−axis 

• A translation 8 units to the right and 1 unit up followed by a 90° counterclockwise rotation about the origin 

Tags

MA.912.GR.2.3

Determine whether the tessellation has translation symmetry. 

Tags

MA.912.GR.2.4