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Page 346 #6-14 & 28-36 (SR) Ch 7 Learning Goal: PLANE GEOMETRY • • • • • • • • • • • • Learn to describe the figures by using the terms of geometry (7-1) Learn to name, measure, classify, estimate and draw angles (7-2) Learn to understand relationship of angles (7-3) Learn to classify the different types of lines (7-4) Learn to classify triangles and solve problems involving angle and side measures of triangles (7-5) Learn to identify, classify, and compare quadrilaterals (7-6) Learn to identify regular and not regular polygons and to find the angle measures of regular polygons (7-7) Learn to recognize, describe, and extend geometric patterns (7-8) Learn to identify congruent figures and to use congruence to solve problems (7-9) Learn to use translations, reflections, and rotations to transform geometric shapes (7-10) Learn to identify line symmetry (7-11) Learn to identify tessellations and shapes that can tessellate (7-12) 7-6 Quadrilaterals th 6 Grade Math Homework Page 350 #1-12 & #34-36 (Spiral Review) Course 1 7-6 Quadrilaterals Warm Up Problem of the Day Lesson Presentation Course 1 7-6 Quadrilaterals Warm Up The lengths of three sides of a triangle are given. Classify the triangle. 1. 12, 12, 12 equilateral 2. 18, 10, 14 scalene 3. 15, 15, 26 isosceles 4. 23, 36, 16 scalene Course 1 7-6 Quadrilaterals Problem of the Day How many different rectangles are in the figure. 10; if the rectangles are marked 1-5 clockwise from upper left, they are 1; 2; 3; 4; 5; 1-2; 3-4; 4-5; 3-5; 1-2-3-4-5. Course 1 7-6 Quadrilaterals Today’s Learning Goal Assignment Learn to identify, classify, and compare quadrilaterals. Course 1 7-6 Quadrilaterals Insert Lesson Title Here Vocabulary quadrilateral parallelogram rectangle rhombus square trapezoid Course 1 7-6 Quadrilaterals A quadrilateral is a plane figure with four sides and four angles. Five special types of quadrilaterals and their properties will be shown in this lesson. The same mark on two or more sides of a figure indicates that the sides are congruent. Course 1 7-6 Quadrilaterals You can draw a diagram to classify quadrilaterals based on their properties. Course 1 7-6 Quadrilaterals Parallelogram Rectangle Course 1 Opposite sides are parallel and congruent. Opposite angles are congruent. Parallelogram with four right angles. 7-6 Quadrilaterals Rhombus Square Course 1 Parallelogram with four congruent sides. Rectangle with four congruent sides. 7-6 Quadrilaterals Trapezoid Course 1 Quadrilateral with exactly two parallel sides. May have two right angles. 7-6 Quadrilaterals Additional Example 1A: Naming Quadrilaterals Give the most descriptive name for each figure. A. The figure is a quadrilateral and a trapezoid. Trapezoid is the most descriptive name. Course 1 7-6 Quadrilaterals Try This: Additional Example 1A Give the most descriptive name for each figure. A. The figure is a quadrilateral and a trapezoid. Trapezoid is the most descriptive name. Course 1 7-6 Quadrilaterals Additional Example 1B: Naming Quadrilaterals Give the most descriptive name for each figure. B. The figure is a quadrilateral, a parallelogram, and a rectangle. Rectangle is the most descriptive name. Course 1 7-6 Quadrilaterals Try This: Additional Example 1B Give the most descriptive name for each figure. B. The figure is a quadrilateral. Parallelogram is the most descriptive name. Course 1 7-6 Quadrilaterals Additional Example 1C: Naming Quadrilaterals Give the most descriptive name for each figure. C. The figure is a plane figure with three congruent sides. Equilateral triangle is the most descriptive name. Course 1 7-6 Quadrilaterals Try This: Additional Example 1C Give the most descriptive name for each figure. C. The figure is a plane figure, but it has more than 4 sides. This figure is not a quadrilateral. It is a hexagon. Course 1 7-6 Quadrilaterals Additional Example 1D: Naming Quadrilaterals Give the most descriptive name for each figure. D. The figure is a quadrilateral, parallelogram, and rhombus. Rhombus is the most descriptive name. Course 1 7-6 Quadrilaterals Try This: Additional Example 1D Give the most descriptive name for each figure. D. The figure is a quadrilateral and a parallelogram. Parallelogram is the most descriptive name. Course 1 7-6 Quadrilaterals Additional Example 2A & 2B: Classifying Quadrilaterals Complete each statement. ? A. A rectangle can also be called a ________. A rectangle has opposite sides that are parallel; it can be called a parallelogram. ? B. A parallelogram cannot be a __________. A parallelogram has opposite sides that are parallel; it cannot be called a trapezoid. Course 1 7-6 Quadrilaterals Try This: Example 2A & 2B Complete each statement. A. A rhombus with four right angles is a ? ________. A rhombus has four congruent sides, and the opposite sides are parallel. If it has four right angles, then it is a square. ? B. A trapezoid has exactly _______ parallel ? sides, and may have _____ right angles. A trapezoid is a quadrilateral with exactly two parallel sides and it may have two right angles. Course 1 7-6 Quadrilaterals Insert Lesson Title Here Lesson Quiz Complete each statement. 1. A quadrilateral with four right angles is a _________. square or rectangle ? 2. A parallelogram with four right angles and four congruent sides is a _______. ? square 3. A figure with 4 sides and 4 angles is a ______. ? quadrilateral 4. Give the most descriptive name for this quadrilateral. trapezoid Course 1