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)

6 th Grade Math Homework Chapter 7.9 Page #1-6 & SR

7-9 Congruence Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up 1. A straight angle has what degree measure? 2. How do you name a line? 180° Name any two points on a line. Course Congruence

Problem of the Day The sum of two decimals is 9.3; their difference is 4.3, and their product is What are they? 2.5, 6.8 Course Congruence

Today’s Learning Goal Assignment Learn to identify congruent figures and to use congruence to solve problems. Course Congruence

Course Congruence Additional Example 1A: Identifying Congruent Figures These figures do not have the same shape and they are not the same size. These figures are not congruent. Decide whether the figures in each pair are congruent. If not, explain. A.

Course Congruence Try This: Example 1A Decide whether the figures in each pair are congruent. If not, explain. A. These figures do not have the same shape and they are not the same size. These figures are not congruent.

Course Congruence Additional Example 1B: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. B. These figures have the same shape size and size. These figures are congruent.

Course Congruence Try This: Example 1B Decide whether the figures in each pair are congruent. If not, explain. B. These figures have the same shape size and size. These figures are congruent.

Course Congruence Additional Example 1C: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. C. Each figure is a trapezoid. The corresponding sides are 5.7 in., 7.5 in., 5 in., and 10 in. These figures are congruent.

Course Congruence Try This: Example 1C Decide whether the figures in each pair are congruent. If not, explain. C. Each figure is a triangle. The corresponding sides are 3 cm, 4 cm, and 5 cm. These figures are congruent. 3 cm 4 cm 5 cm

Course Congruence Additional Example 1D: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. D. Each figure is a rectangle. Each short side of each rectangle measure 4 cm. Each long side of each rectangle measures 9 cm. These figures are congruent.

Course Congruence Try This: Example 1D Decide whether the figures in each pair are congruent. If not, explain. D. Each figure is a rectangle. Each short side of each rectangle measures 5 in. Each long side of each rectangle measures 12 in. These figures are congruent. 12 in. 5 in.

Course Congruence Additional Example 2: Consumer Application Jodi needs a sleeping pad that is congruent to her sleeping bag. Which sleeping pad should she buy? Both sleeping pads are trapezoids. Only sleeping pad B is the same size as the sleeping bag. Which sleeping pad is the same size and shape as the sleeping bag? Sleeping pad B is congruent to the sleeping bag.

Course Congruence Try This: Example 2 Jodi needs a frame that is congruent to her flag. Which frame should she buy? Both frames are triangles. Only Frame B is the same size as the flag. Which frame is the same size and shape as the flag? Frame B is congruent to the flag in. 7.8 in. 4 in. 10 in in. 7.8 in. 9.2 in. 4 in. Flag Frame A Frame B

Lesson Quiz True or false? 1. If two figures have sides of the same length, they are congruent. 2. Congruent figures have angle measures that are equal. 3. Decide whether the figures are congruent. If not, explain. true false Insert Lesson Title Here No, both are quadrilaterals but they are not the same size or shape. Course Congruence