Quarter 3 Spiral Review #2 Name: ______

1.  In a certain quadrilateral, two opposite sides are parallel, and the other two opposite sides are NOT congruent. This quadrilateral could be a…

  1. Rhombus
  2. Parallelogram
  3. Rectangle
  4. Trapezoid

2.  Which quadrilateral must have diagonals that are congruent and perpendicular?

  1. Rhombus
  2. Square
  3. Trapezoid
  4. Parallelogram

3.  State what types of quadrilaterals apply in each case. Therefore may be more than one answer for some of these statements!

  1. It bisects the other diagonal of the parallelogram
  2. It bisects an angle of the parallelogram
  3. It is congruent to the other diagonal of the parallelogram
  4. It is perpendicular to the other diagonal of the parallelogram.

4.  In rhombus RSTW, diagonal RT is drawn If m∠RST=108, find m∠SRT.

5.  In parallelogram MATH the measure of angle T exceeds the measure of angle H by 30. Find the measure of each angle of the parallelogram.

6.  In parallelogram TRIG, m∠R=2x+19 and m∠G=4x-17. Find the measure of each angle of the parallelogram

7.  The length of the median drawn to the hypotenuse of a right triangle is represented by the expression 3x-7. While the length of the hypotenuse is represented by 3x-4. Find the length of the median.

8.  Suppose a diagonal is drawn in a decagon, creating a quadrilateral and another polygon. How many sides does the other polygon have>

9.  Suppose a diagonal is drawn in an n-gon, creating a quadrilateral and another polygon. How many sides, in terms of n, does the other polygon have?

10.  Suppose two sides AB and CD of a regular n-gon ABCDE… are extended to meet at point P, as shown.

  1. Suppose n=10. Find m∠P.
  2. Suppose m∠P=156°. Find n.
  3. Find n if m∠ABC=3*m∠P.

1.  In a certain quadrilateral, two opposite sides are parallel, and the other two opposite sides are NOT congruent. This quadrilateral could be a…

  1. Rhombus
  2. Parallelogram
  3. Rectangle
  4. Trapezoid

2.  Which quadrilateral must have diagonals that are congruent and perpendicular?

  1. Rhombus
  2. Square
  3. Trapezoid
  4. Parallelogram

3.  State what types of quadrilaterals apply in each case. Therefore may be more than one answer for some of these statements!

  1. It bisects the other diagonal of the parallelogram
  2. It bisects an angle of the parallelogram
  3. It is congruent to the other diagonal of the parallelogram
  4. It is perpendicular to the other diagonal of the parallelogram.

4.  In rhombus RSTW, diagonal RT is drawn If m∠RST=108, find m∠SRT.

5.  In parallelogram MATH the measure of angle T exceeds the measure of angle H by 30. Find the measure of each angle of the parallelogram.

6.  In parallelogram TRIG, m∠R=2x+19 and m∠G=4x-17. Find the measure of each angle of the parallelogram

7.  The length of the median drawn to the hypotenuse of a right triangle is represented by the expression 3x-7. While the length of the hypotenuse is represented by 3x-4. Find the length of the median.

8.  Suppose a diagonal is drawn in a decagon, creating a quadrilateral and another polygon. How many sides does the other polygon have>

9.  Suppose a diagonal is drawn in an n-gon, creating a quadrilateral and another polygon. How many sides, in terms of n, does the other polygon have?

10.  Suppose two sides AB and CD of a regular n-gon ABCDE… are extended to meet at point P, as shown.

  1. Suppose n=10. Find m∠P.
  2. Suppose m∠P=156°. Find n.
  3. Find n if m∠ABC=3*m∠P.