Quadrilaterals & Polygons Review

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Presentation transcript:

Quadrilaterals & Polygons Review Chapter 6 Honors Geometry Quadrilaterals & Polygons Review

How many sides does a polygon have if the sum of the measures of the interior angles is 2880?

Find the sum of the exterior angles (one per vertex) of a 23-gon. 360

How many sides does a polygon that contains 27 diagonals have?

Name the polygon whose ratio of each interior angle to each exterior angle is 4:1. Quadrilateral Pentagon Hexagon Heptagon Octagon Decagon

Opposite angles of an isosceles trapezoid are: Complementary Supplementary Congruent No relationship

ABCD is a rhombus. Find mCDB if mABC = 126. A. mCDB = 126 B. mCDB = 63 C. mCDB = 54 D. mCDB = 27

Sahas has a shape he knows to be a parallelogram and all four sides are congruent. Which information does he need to know to determine whether it is also a square? A. The diagonal bisects a pair of opposite angles. B. The diagonals bisect each other. C. The diagonals are perpendicular. D. The diagonals are congruent.

LMNO is a rhombus. Find x. A. 5 B. 7 C. 10 D. 12

LMNO is a rhombus. Find y. A. 6.75 B. 8.625 C. 10.5 D. 12

If JKLM is a kite, find KL. A. 5 B. 6 C. 7 D. 8

The diagram shows a car jack used to raise a car from the ground The diagram shows a car jack used to raise a car from the ground. In the diagram, AD  BC and AB  DC. Based on this information, which statement will be true, regardless of the height of the car jack. A. A  B B. A  C C. AB  BC D. mA + mC = 180

Find the measure of an interior angle of a regular polygon that has 10 sides. B. 162 C. 144 D. 126

Find the measure of an interior angle of a regular polygon that has 12 sides. B. 150 C. 165 D. 180

What is the sum of the measures of the interior angles of a 20-gon? B. 3420 C. 3240 D. 3060

What is the sum of the measures of the interior angles of a 16-gon? B. 2880 C. 2700 D. 2520

Find x if QRSTU is a regular pentagon. B. 15.25 C. 12 D. 10

What type of regular polygon has interior angles with a measure of 135°? A. pentagon B. hexagon C. octagon D. decagon