End of Year Review

Figure RST has been rotated 90° clockwise to form figure OPQ. Which of the following statements is true?

• m∠R ≅ m∠Q

• m∠S ≅ m∠P

• RS ≅ PQ

• ST ≅ OP

Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB || DC, which of the following statements is true concerning trapezoid RSTU?

• AB ≅ DC

• ST ≅ UT

• AB || RS

• RS || UT

Figure ABCD has been reflected across the y-axis to form figure WXYZ. Which of the following statements is true?

• m∠A ≅ m∠Y

• m∠D ≅ m∠X

• AB ≅ WX

• AB ≅ YZ

If figure LMNO ≅ PQRS as shown below, which transformation was most likely applied to LMNO to produce PQRS?

• Reflection

• Rotation

• Translation

• Dilation

Two figures, ABC and XYZ, are congruent. If m∠A = 50° and XZ = 3 cm, which statement below must be true?

• m∠X = 50°, AC = 3 cm

• m∠B = 50°, YZ = 3 cm

• m∠X = 90°, AC = 6 cm

• m∠B = 90°, AC = 6 cm

Given the figures below, EFGH and IJKL are congruent by a rotation of 180°, what is the length of JK?

• JK = 5 cm

• JK = 3 cm

• JK = 9 cm

• JK = 3.5 cm

Line segment RS is shown below with coordinates R(-8, -3) and S(3, -3). Which coordinate below would represent R' if point R was reflected across the x-axis?

• (-8, 3)

• (3, 3)

• (8, -3)

• (-3, -3)

If parallelogram ABCD is translated left 2 units and down 5 units, what is the resulting coordinate of B'?

• (10, 2)

• (8, 2)

• (6, 7)

• (6, 2)

If figure EFGH is rotated 270° counter-clockwise about the origin, what would be the resulting coordinate of point F?

• (−3, −5)

• (−5, −3)

• (5, 3)

• (5, −3)

Based on the coordinates below, what transformation was most likely applied to figure XYZ in order to obtain the coordinates of X'Y'Z'?

• Reflection across the X-axis

• Reflection across the Y-axis

• Rotation 90° Clockwise about the origin

• Rotation 180° about the origin