Geometry Semester 1 Review (Part 3) Best Standards

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

Prove that ΔABC is congruent to ΔDEF with the given vertices. 

A (3, 1), B (4, 5), C (2, 3), 

D (–1, –3), E (–5, –4), F (–3, –2) 

• The triangles are congruent because ΔABC can be mapped onto ΔDEF by a rotation: (x, y) à (y, − x), followed by a reflection: (x, y) à (x, −y). 

• The triangles are congruent because ΔABC can be mapped onto ΔDEF by a reflection: (x, y) à (-x, y), followed by a rotation: (x, y) à (y, −x). 

• The triangles are congruent because ΔABC can be mapped onto ΔDEF by a translation: (x, y) à (x – 4, y), followed by another translation: (x, y) à (x, y – 6). 

• The triangles are congruent because ΔABC can be mapped onto ΔDEF by a rotation: (x, y) à (−y, x), followed by a reflection: (x, y) à (x, −y). 

Tags

MA.912.GR.2.3

ΔABC and ΔDEF are graphed on the coordinate plane below. 

              

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

(Honors Only Question)

Determine whether the tessellation has translation symmetry. 

(a)  

Tags

MA.912.GR.2.4

(Honors Only Question)

Determine whether the octagon has rotational symmetry. If so, identify the order of rotational symmetry. 

• The octagon has rotational symmetry. The order of rotational symmetry is 2. 

• The octagon has rotational symmetry. The order of rotational symmetry is 4. 

• The octagon has rotational symmetry. The order of rotational symmetry is 8. 

• The octagon does not have rotational symmetry 

Tags

MA.912.GR.2.4

The point (−7, 4) is reflected over the line x = −3. Then, the resulting point is reflected over the line y = x.  Plot the point located after both reflections? 

• (−10, −7) 

• (1, 4) 

• (4, −7) 

• (4, 1) 

Tags

MA.912.GR.2.5

ΔABC has vertices A (3, −5), B (1, −4), and C (4, -2). Which graph shows the image of ΔABC after a reflection in the y-axis, followed by a rotation of 270° counterclockwise about the origin. 

• 
• 
• 
• 

Tags

MA.912.GR.2.5