Download Quadrilaterals Study Guide

Geometry
Polygons & Quadrilaterals Study Guide
Name ___________________________
Date ___________ 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.
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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. Find the measure of each interior angle of a regular 32-gon.
5. Find the total degrees of the measures of the interior angles of a convex 20-gon.
6. If a polygon has 4 sides it is called a _____________________.
7. Find the value of x in the quadrilateral below.
8. The figure to the right can best be described as a ______________________.
9. - 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 _____________________________________.
10. Solve for the indicated parts of each parallelogram below.
a) RT=19.8. Find RP.
B) Find RU
11. There are three types of special parallelograms meaning they have all the qualities of parallelograms plus some.
Name those three quadrilaterals.
12. The shape to the right is classified as a rectangle. Why?
13. In rectangle ABCD, CD=18 and CE=19.8.
a) Find AB.
b) Find BE.
14. Find the measures of the numbered angles in the rhombus DGCH.
𝑚∠1 = ______
𝑚∠2 = ______
𝑚∠4 = ______
𝑚∠3 = ______
𝑚∠5 = ______
15. Find the length of 𝐵𝑅 in the rhombus below.
16. Is a square a rectangle? Explain your answer.
17. The figure to the right can best be described as a _______________.
18. - A trapezoid has _______________ _________ pair of parallel sides.
- These parallel sides are called ____________.
19. Name both pairs of base angles in the trapezoid to the right.
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. Given 𝑆𝑇 = 13.2 and 𝑋𝑌 = 17.5, determine the length of 𝑅𝑄 in the trapezoid below.
22. The figure to the right can best be described as a __________.
23. A kite has exactly two pairs of __________________ ________________ sides. In other words,
opposite sides are not ___________________ and it has no __________________ sides.
24. Using the kite below, if AC=20 and BE=6. Find BC.
E
25. Find 𝑚∠𝐷 in the kite below.