University:
High School
Course:
High School Geometry
Academic year:

2020
Views:

158

Pages:

4
Author:

jazzeyedcy

Chapter 7 Study Guide Geometry 7.1 Angles of Polygons Find the sum of the interior angles of each polygon. [Diagram of a quadrilateral with angles labeled 100°, 120°, 85°, 55°] 360° [Diagram of a pentagon with angles labeled 108°, 108°, 108°, 108°, 108°] 540° [Diagram of a hexagon with angles labeled 120°, 120°, 120°, 120°, 120°, 120°] 720° [Diagram of an octagon with angles labeled 135°, 135°, 135°, 135°, 135°, 135°, 135°, 135°] 1080° Find the value of the variable in each polygon. [Diagram of a quadrilateral with angles labeled 110°, 120°, x, 90°] x = 40° [Diagram of a pentagon with angles labeled 108°, 108°, 108°, 108°, x] x = 108° [Diagram of a hexagon with angles labeled 120°, 120°, 120°, 120°, 120°, x] x = 120° 7.2 Properties of Parallelograms Decide if the quadrilateral is a parallelogram. [Diagram of a quadrilateral with opposite sides parallel] YES [Diagram of a quadrilateral with one pair of opposite sides parallel] NO [Diagram of a quadrilateral with opposite sides congruent] YES [Diagram of a quadrilateral with diagonals bisecting each other] YES Find the value of the variable in each parallelogram. [Diagram of a parallelogram with angles labeled 8x, 10x, 7x, 9x] x = 5° [Diagram of a parallelogram with angles labeled 3x, 2x, 4x, 5x] x = 36° 7.3 Properties of Trapezoids and Kites Find the value of the variable in each trapezoid or kite. [Diagram of an isosceles trapezoid with angles labeled 6x, 10x, 6x, 8x] x = 6° [Diagram of a kite with angles labeled 4x, 9x, 4x, 6x] x = 10° Classify each polygon as a parallelogram, trapezoid, or kite. [Diagram of a parallelogram] Parallelogram [Diagram of a trapezoid] Trapezoid [Diagram of a kite] Kite Chapter 7 Study Guide Geometry 7.1 Angles of Polygons Interior Angle Rule: (n - 2)180 = sum of interior angles where n = number of sides Exterior Angle Rule: = 360° - always! Solve for the variable x: [Diagram of a quadrilateral with angles labeled 122°, 100°, 144°, and x] (4 - 2)180 = 122 + 100 + 144 + x 360 = 366 + x x = -6° [Diagram of a pentagon with angles labeled 108°, 108°, 108°, 108°, and x] (5 - 2)180 = 108 + 108 + 108 + 108 + x 540 = 432 + x x = 108° Solve for the variable x: [Diagram of a triangle with angles labeled 73°, 109°, and x] 73 + 109 + x = 360 182 + x = 360 x = 178° [Diagram of a polygon with angles labeled 5x, (x + 30)°, 109°, 90°, and x] 5x + (x + 30) + 109 + 90 + x = 360 6x + 229 = 360 6x = 131 x = 21.83° 7.2 Properties of Parallelograms Use the properties as needed. 2 pair of opposite sides are parallel 2 pair of opposite angles are congruent 2 pair of opposite sides are congruent diagonals bisect each other Solve for the variables in each parallelogram: [Diagram of a parallelogram with angles labeled 40°, 60°, 75°, b] 40 + 60 = 75 + b 100 = 75 + b b = 25° [Diagram of a parallelogram with sides labeled 9, h-8, h, 8] h - 8 = 9 h = 17