GeometryName ______
Polygons & Quadrilaterals Study GuideDate ______Period ____
1. a) Tell whether each shape below is considered a polygon.
b) If it is a polygon, tell whether it is regular or irregular based on its side lengths.
c) If it is a polygon, give it a name based on its number of sides.
d) If it is a polygon, determine whether it is convex or concave.
a)a)a)a)
b)b)b)b)
c)c)c)c)
d)d)d)d)
2. What is the formula to calculate the total number of interior degrees in a polygon? ______
3. Find the value of each variable in the regular polygons below.
a)b)
4. If a polygon has 4 sides it is called a ______.
5. The figure to the right can best be described as a ______.
6. - A parallelogram has two pairs of opposite ______and ______sides.
- A parallelogram has two pairs of opposite ______angles.
- The consecutive (same-side interior) angles of a parallelogram are ______.
- The diagonals of a parallelogram ______each other, meaning they ______.
7. Solve for the indicated parts of each parallelogram below.
a) RT=19.8. Find RP.8. Find RU
8. There are three types of special parallelograms meaning they have all the qualities of parallelograms plus some. Name those three quadrilaterals.
9. The figure to the right can best be described as a ______.
10. - A rectangle has two pairs of opposite ______and ______sides.
- A rectangle has four ______angles.
- The diagonals of a rectangle ______each other, meaning they ______.
- The diagonals of a rectangle are also ______.
11. In rectangle ABCD, CD=18 and CE=19.8.
a) Find AB.b) Find BE.
12. The figure to the right can best be described as a ______.
13. A rhombus has two pairs of opposite ______sides and all 4 sides are ______.
A rhombus has two pairs of opposite ______angles.
The diagonals of a rhombus ______each other, meaning they ______.
The diagonals of a rhombus intersect at ______angles.
The diagonals of a rhombus bisect pairs of ______.
14. Find the measures of the numbered angles in the rhombus DGCH.
15. The figure to the right can best be described as a ______.
16. A square has two pairs of opposite ______sides and all 4 sides are ______.
A square has four ______angles.
The diagonals of a square ______each other, meaning they ______.
The diagonals a square are ______.
The diagonals of a square intersect at ______angles.
The diagonals of a square bisect pairs of ______.
17. Is a square a rectangle? Explain your answer.
18. The figure to the right can best be described as a ______.
19. - A trapezoid has ______pair of parallel sides.
- These parallel sides are called ______.
20. The figure to the right can best be described as an ______.
- This type of trapezoid still has ______pair of parallel sides, but the reason
- It’s isosceles is because its ______are ______.
- The diagonals of an isosceles trapezoid are ______.
21. The figure to the right can best be described as a ______.
22. A kite has exactly two pairs of ______sides. In other words,
opposite sides are not ______and it has no ______sides.
- A kite has ______diagonals.
- Exactly one pair of ______angles is congruent.
- The longer diagonal ______the shorter diagonal.
- The longer diagonal ______a pair of opposite angles.
23. Using the kite to the right, if AC=20 and BE=6. Find BC.