PPT-Corresponding Parts of Similar Triangles

If triangles are similar are other things similar as well Proportional Parts Conjecture If two triangles are similar then the length of the corresponding altitudes medians and angle bisectors are proportional to the lengths of the corresponding sides This shows similar Triangles. A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . HOMEWORK: Lesson 4.6/1-9. , . 18. Chapter 4 Test - FRIDAY. Prove it!. CPCTC . . C. orresponding . P. arts of . C. ongruent . T. riangles are . C. ongruent. We . say: . Corresponding Parts of Congruent . Kaitlyn. O’Malley. “You are getting sleepy….”. Goals and Objectives. Goal: Students will apply their knowledge of similar triangles to multiple contexts.. Objectives:. Given a measuring tape, the students will find their eye heights in centimeters.. 7.4 Similar Figures. Vocabulary. corresponding sides. corresponding angles. similar. Matching sides of two or more polygons are called . corresponding sides,. and matching angles are called . corresponding angles. TOPIC/Objective: . To use angles to tell whether triangles are similar. . Essential Question: . How can you use angles to tell if triangles are similar. . Example:. . The triangles have two pairs of congruent angles.. Section 2-8. Goals. Goal. To find missing lengths in similar figures.. To use similar figures when measuring indirectly.. Rubric. Level 1 – Know the goals.. Level 2 – Fully understand the goals.. Agenda. Embedded Assessment Review. Triangles Cut by Parallel Lines. Dilations. Similarity Shortcuts: AA. Debrief. DO NOW 12/8: . Write an equation that will . show the tree’s height (h) in . terms of the shadow (s) .   ARE THEY SIMILAR. ?. Erica . thinks the triangles at right might be similar.  She asks for your help.  The two triangles are drawn to scale.. If two shapes are similar, what must be true about their angles and sides?. Ratio Word Problems, Similar Triangles. A ratio is a comparison of two numbers that can be written as a fraction. If we write the fraction. . ¾. We say that we have written the ration of 3 to 4. all of the following ratios designate the same number and thus are equal ratios.. Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. You used proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles. . Find the geometric mean between two numbers.. Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse.. Chapter 4. Objective. List corresponding parts.. Prove triangles congruent (ASA, SAS, AAS, SSS, HL). Prove corresponding parts congruent (CPCTC). Examine overlapping triangles.. Key Vocabulary - Review. Warm Up. Solve each proportion.. 1.. . . 2.. . 3.. 4. . If . ∆. QRS . ~ . ∆. XYZ. , identify the pairs of congruent angles and write 3 proportions using pairs of corresponding sides.. . Proportions and Similar Figures What is Similarity? Not Similar Similar Similar Not Similar Similar Triangles Similar Figures Figures that have the same shape but not necessarily the same size are