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…
a. Rhombus
b. Parallelogram
c. Rectangle
d. Trapezoid
2. Which quadrilateral must have diagonals that are congruent and
perpendicular?
a. Rhombus
b. Square
c. Trapezoid
d. Parallelogram
3. State what types of quadrilaterals apply in each case. Therefore may be more
than one answer for some of these statements!
a. It bisects the other diagonal of the parallelogram
b. It bisects an angle of the parallelogram
c. It is congruent to the other diagonal of the parallelogram
d. It is perpendicular to the other diagonal of the parallelogram.
̅̅̅̅ is drawn If 𝑚∠𝑅𝑆𝑇 = 108, find 𝑚∠𝑆𝑅𝑇.
4. In rhombus RSTW, diagonal 𝑅𝑇
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.
a. Suppose 𝑛 = 10. Find 𝑚∠𝑃.
b. Suppose 𝑚∠𝑃 = 156°. Find n.
c. Find n if 𝑚∠𝐴𝐵𝐶 = 3 ∗ 𝑚∠𝑃.
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…
a. Rhombus
b. Parallelogram
c. Rectangle
d. Trapezoid
2. Which quadrilateral must have diagonals that are congruent and
perpendicular?
a. Rhombus
b. Square
c. Trapezoid
d. Parallelogram
3. State what types of quadrilaterals apply in each case. Therefore may be more
than one answer for some of these statements!
a. It bisects the other diagonal of the parallelogram
b. It bisects an angle of the parallelogram
c. It is congruent to the other diagonal of the parallelogram
d. It is perpendicular to the other diagonal of the parallelogram.
̅̅̅̅ is drawn If 𝑚∠𝑅𝑆𝑇 = 108, find 𝑚∠𝑆𝑅𝑇.
4. In rhombus RSTW, diagonal 𝑅𝑇
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.
a. Suppose 𝑛 = 10. Find 𝑚∠𝑃.
b. Suppose 𝑚∠𝑃 = 156°. Find n.
c. Find n if 𝑚∠𝐴𝐵𝐶 = 3 ∗ 𝑚∠𝑃.