Review: What is the definition of a parallelogram? What are the properties of a parallelogram? o o o o o o
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1 Geometry CP Lesson 11-1: Areas of Parallelograms Page 1 of 2 Objectives: Find perimeters and areas of parallelograms Determine whether points on a coordinate plane define a parallelogram CA Geometry Standard: 8, 10 Review: What is the definition of a parallelogram? What are the properties of a parallelogram? Any side of a parallelogram can be the. Any segment that is perpendicular to the base is the (also known as the of the parallelogram). Perimeter and Area of Parallelograms o Perimeter = Sum of the measures of the sides o Area = base ht Ex: Find the exact area and perimeter of each parallelogram. 9 mm 10 cm 3 cm 4 mm 5 mm in 60 Ex: Find the area of parallelogram TRIG. T 12 yd R 7 yd 50 G I
2 Geometry CP Lesson 11-1: Areas of Parallelograms Page 2 of 2 Ex: TOHS is a quadrilateral with vertices T( -1, 2), H(3, 2), O(3, -2), S(-1, -2). Determine if it is a parallelogram, rectangle, or square. And find its area. Ex: WXYZ and ABCD are rectangles. Find the area of the shaded region. Ex: The area of a parallelogram is 3 square feet. If the measures of the base and height are each doubled, find the area of the resulting parallelogram. Ex: A rectangle is 4 meters longer than it is wide. Its area is 140 square meters. Find its length.
3 Geometry CP Lesson 11-2: Areas of Triangles, Trapezoids, and Rhombi Page 1 of 2 Objective: Find areas of triangles, trapezoids and rhombi. CA Geometry Standard: 8, 10 Review: What is the definition of a trapezoid? o What is the median of a trapezoid? o The length of the median is equal to What are the properties of an isosceles trapezoid? What is the definition of a rhombus? What are the properties of a rhombus? Area Formulas: Area of a triangle = Area of a trapezoid = Area of a rhombus = Ex: Find the exact area of each figure.
4 Geometry CP Lesson 11-2: Areas of Triangles, Trapezoids, and Rhombi Page 2 of 2 Ex: The area of a triangle is 72 square inches. If the height is 8 inches, find the length of the base. Ex: A right triangle has a perimeter of 36 meters, a hypotenuse of 15 meters, and a leg of 9 meters. Find the area of the triangle. Ex: The area of a trapezoid is 144 square inches. If the height is 12 inches, find the length of the median. Ex: A rhombus has a perimeter of 80 meters and the length of one diagonal is 24 meters. Find the area of the rhombus.
5 Geometry CP Lesson 11-3: Areas of Regular Polygons and Circles Page 1 of 2 Objective: Find areas of regular polygons and circles CA Geometry Standard: 8, 10 Areas of Circles The formula for the area of a circle is Ex: Find the exact area of each circle. 12 mm 10 in 60 T Areas of Regular Polygons Vocabulary: Radii, apothem, perimeter, central angle A B O C Draw and name two radii Draw and name an apothem Name a central angle What is the measure of each central angle? E D The formula for the area of a regular polygon is Ex: Find the area. Ex: Find the area rounded to the nearest tenth.
6 Geometry CP Lesson 11-3: Areas of Regular Polygons and Circles Page 2 of 2
7 Geometry CP Lesson 11-4: Areas of Composite Figures Page 1 of 1 Objectives: Find areas of composite figures Find areas of composite figures on the coordinate plane CA Geometry Standard: 8 A composite figure can be separated into regions that are basic figures. o The area of a composite figure is the sum of the areas of its basic figures.
8 Geometry CP Lesson 11-5: Geometric Probability and Areas of Sectors Page 1 of 2 Objectives: Solve problems involving geometric probability Solve problems involving sectors and segments of circles CA Geometry Standard: 8 Probability that involves a geometric measure such as length or area is called geometric probability. Ex: Find the probability that a point chosen at random lies in the shaded region. Write your answer as a percent. 5 4 (Circle inside a rectangle.) (Rhombus inside a rectangle.) 6 20
9 Geometry CP Lesson 11-5: Geometric Probability and Areas of Sectors Page 2 of 2 Area of a Sector Ex: Find the exact area of each sector.
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