6/7 - Geo Regents Prep (Pd 1)

Point Q in on MN such that MQ:QN = 2:3. If M has coordinates (3, 5) and N has coordinates (8, -5), the coordinates of Q are

• (5, 1)

• (5, 0)

• (6, -1)

• (6, 0)

Parallelogram ABCD has coordinates A (0, 7) and C (2, 1). Which statement would prove that ABCD is a rhombus?

• The midpoint of AC is (1, 4)

Which rotation about its center will carry a regular decagon onto itself?

A parallelogram is always a rectangle if

• the diagonals are congruent

• the diagonals bisect each other

• the diagonals intersect at right angles

• the opposite angles are congruent

In circle O, secants ADB and AEC are drawn from external point A such that points D, B, E, and C are on circle O. If AD = 8, AE = 6, and EC is 12 more than BD, the length of BD is

• 6

• 22

• 36

• 48

Given the right triangle in the diagram, what is the value of x, to the nearest foot?

• 11

• 17

• 18

• 22

Point A (3, 4) and BC with coordinates B (4, 3) and C (2, 1) are graphed. What are the coordinates of B' and C' after BC undergoes a dilation centered at point A with a scale factor of 2?

• B' (5, 2)

  C' (1, -2)

• B' (6, 1)

  C' (0, -1)

• B' (5, 0)

  C' (1, -2)

• B' (5, 2)

  C' (3, 0)