PPT-6.2 and 6.3: Quadrilaterals and Parallelograms

By Brit Caswell A parallelogram is a quadrilateral where both sets of opposite sides are parallel If a quadrilateral is a parallelogram T hen its opposite sides are congruent 63 Then its consecutive angles are supplementary 64. Section 8.5. Goal. Find the area of parallelograms.. Key Vocabulary. Base of a parallelogram. Height of a parallelogram. Parallelogram. Rhombus . Parallelogram. A parallelogram is a quadrilateral where the opposite sides are congruent and parallel.. The area of a parallelogram is base x height.. 8cm. 5. cm. Area = 8 x 5 = 40cm. 2. Here’s why:. A parallelogram can be split up into a rectangle and 2 triangles – each with the same area.. 10cm. 4 sides. 2. angles add to 360. Parallelogram. Opposite sides are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary. Diagonals bisect . eachother. Rectangle. Opposite sides are parallel and congruent. Mackenzie Simonsen. Polygons. Triangle- A plane figure with three straight sides and three angles. A way to remember a triangle is that . tri- . means three and a . tri. angle has three sides. . Quadrilateral- A plane figure with 4 straight sides and 4 angles. A way to remember is that . I can find the area of rectangles and parallelograms. Area Rap . Warm Up. 1.. What is the perimeter of a square with side lengths of 15 in.?. 2.. What is the perimeter of a rectangle with length 16 cm and width 11 cm?. Mr. Joshua . Doudt. Geometry (H). Pg. 359 - 366. Objective. To use relationships among sides and angles of parallelograms. To use relationships among diagonals of parallelogram. Lesson Vocabulary. Parallelogram. Objectives:. Be able to use some properties of parallelograms.. Be able to prove that a quadrilateral is a parallelogram.. Parallelograms. A parallelogram is a quadrilateral with . both pairs of opposite sides parallel. Holt McDougal Geometry. Warm Up. Lesson Presentation. Lesson Quiz. 25.3. Warm Up. Solve for . x. .. ABCD . is a parallelogram. Find each measure.. 1.. . CD. . 2. . m. . C. . 14. 104°. 25.3. Properties & Attributes. A . few polygons. Triangle. Quadrilateral (much more on these later). Pentagon. Hexagon. Heptagon. Octagon. Regular. . polygons . are . both . equilateral. and . equiangular. What is a polygon?. Closed figure. At least 3 sides. Line segments are sides. Sides meet is call a vertex. More Polygon Terms. Diagonal – connects two non consecutive vertices. Concave – at least one diagonal outside polygon, dented in. Unit Outline. 6-1 The Polygon Angle-Sum Theorems. 6-2 Properties of Parallelograms. 6-3 Proving that a Quadrilateral is a Parallelogram. 6-4 Properties of Rhombuses, Rectangles and Squares. 6-5 Conditions for Rhombuses, Rectangles and Squares. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Recognize and apply the properties of rhombi and squares.. Determine whether quadrilaterals are rectangles, rhombi, or squares.. Properties of a rhombus. A rhombus is a parallelogram with all four sides congruent.. Parallelograms Quadrilaterals are four-sided polygons Parallelogram: is a quadrilateral with both pairs of opposite sides parallel. Parallelograms (2) Theorem 6.1 : Opposite sides of a parallelograms are congruent Theorem 6.2: Opposite