4.6 Use Isosceles and Equilateral Triangles

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Presentation transcript:

4.6 Use Isosceles and Equilateral Triangles Then: You identified isosceles and equilateral triangles. Now: 1. Use properties of isosceles triangles. 2. Use properties of equilateral triangles. http://blog.beliefnet.com/lessonsfromarecoveringdoormat/files/2012/06/roller-coaster1.jpg

Review Classify each triangle by its sides. 1. 2 cm, 2 cm, 2 cm 2. 7 ft, 11 ft, 7 ft 3. 9 m, 8 m, 10 m mhttp://www.complore.com/themes/fancy/qimages/triangleRelative.png

Properties of Isosceles Triangles Use the following vocabulary words to label the triangle: 1. Legs 2. Vertex 3. Base 4. Base angles

Theorem 4.10 Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite those sides are congruent. If AB  AC, the  B   C

Theorem 4.11 Converse of Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those two angles are congruent. If B  C, then AB  AC.

Example 1: Complete the statement. Tell what theorem you used. a. If AE  CE, then _____  _____. b. If DAE   DEA, then ______  _____.

Corollaries- Equilateral Triangle

Example 2: Find missing measures. a. Find m R. b. Find PR.

Example 3: Find missing values. Find the value of each variable.

Example 4: Find the value of x. a. b.

Example 4: c. Find the values of x and y.

Example 5: Find the values of x and y.

4.6 Assignment: p. 289-293 #1-22 evens, 29-32, 38-43, 48-50, 56-66 evens