Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

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4.1 Classifying Triangles

Classifying Triangles

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Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc., Cincinnati, Ohio Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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Contents Lesson 4-1Classifying Triangles Lesson 4-2Angles of Triangles Lesson 4-3Congruent Triangles Lesson 4-4Proving Congruence–SSS, SAS Lesson 4-5Proving Congruence–ASA, AAS Lesson 4-6Isosceles Triangles Lesson 4-7Triangles and Coordinate Proof

Lesson 1 Contents Example 1Classify Triangles by Angles Example 2Classify Triangles by Sides Example 3Find Missing Values Example 4Use the Distance Formula

Example 1-2a Answer:  UTX and  UVX are isosceles. Identify the isosceles triangles in the figure if Isosceles triangles have at least two sides congruent.

Example 1-2b Identify the scalene triangles in the figure if Answer:  VYX,  ZTX,  VZU,  YTU,  VWX,  ZUX, and  YXU are scalene. Scalene triangles have no congruent sides.

Example 1-2c Identify the indicated triangles in the figure. a. isosceles triangles b. scalene triangles Answer:  ABC,  EBC,  DEB,  DCE,  ADC,  ABD Answer:  ADE,  ABE

Example 1-3a ALGEBRA Find d and the measure of each side of equilateral triangle KLM if and Since  KLM is equilateral, each side has the same length. So Substitution Subtract d from each side. Add 13 to each side. Divide each side by 3.

Example 1-3b Next, substitute to find the length of each side. Answer: For  KLM, and the measure of each side is 7.

Example 1-3c Answer: ALGEBRA Find d and the measure of each side of equilateral triangle if and

Example 1-4a COORDINATE GEOMETRY Find the measures of the sides of  RST. Classify the triangle by sides.

Example 1-4b Answer: ; since all 3 sides have different lengths,  RST is scalene. Use the distance formula to find the lengths of each side.

Example 1-4c Find the measures of the sides of  ABC. Classify the triangle by sides. Answer: ; since all 3 sides have different lengths,  ABC is scalene.

End of Lesson 1

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