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# Chapter5 - Triangles and Congruence 5.1 Classifying...

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Triangles and Congruence Triangles and Congruence § 5.1 5.1 Classifying Triangles Classifying Triangles § 5.4 5.4 Congruent Triangles Congruent Triangles § 5.3 5.3 Geometry in Motion Geometry in Motion § 5.2 5.2 Angles of a Triangle Angles of a Triangle § 5.6 5.6 ASA and AAS ASA and AAS § 5.5 5.5 SSS and SAS SSS and SAS

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Classifying Triangles Classifying Triangles Yo u will le arn to   ide ntify the  parts  o f  triang le s  and to   c las s ify  triang le s  by the ir parts . In geometry, a triangle is a figure formed when _____ noncollinear points are connected by segments. thre e Each pair of segments forms an angle of the triangle. E D F The vertex of each angle is a vertex of the triangle.
Classifying Triangles Classifying Triangles Triangles are named by the letters at their vertices. Triangle DEF, written ______, is shown below. E D F ang le ve rt e x s id e The sides are: The vertices are: The angles are: In Chapter 3, you classified angles as acute, obtuse, or right. Triangles can also be classified by their angles. All triangles have at least two _____ angles. ac u te The third angle is either _____, ______, or _____. o btu s e ac u te rig h t EF, FD, and DE. D, E, and F. E, F, and D. Δ DE F

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Classifying Triangles Classifying Triangles Triangles Classified by Ang le s 60 ° 80 ° 40 ° ac ute triang le 3 rd  angle is _____ acute obtuse triangle right triangle 3 rd  angle is ______ obtuse 3 rd  angle is ____ right 17° 43 ° 120° 30° 60°
Classifying Triangles Classifying Triangles Triangles Classified by S ide s s c ale ne is o s c e le s e q uilate ral no ___ sides congruent __________ sides congruent ___ sides congruent at le as t two all

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Classifying Triangles Classifying Triangles leg The side opposite the vertex angle is called the _____. The congruent sides are called legs. bas e leg The angle formed by the congruent sides is called the ___________. ve rte x ang le The two angles formed by the base and one of the congruent sides are called ___________. bas e  ang le s

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Angles of a Triangle Yo u will le arn to  us e  the   Ang le  S um  The o re m 1) On a piece of paper, draw a triangle. 2) Place a dot close to the center (interior) of the triangle. 3) After marking all of the angles, tear the triangle into three pieces. then rotate them, laying the marked angles next to each other. 4) Make a conjecture about the s um  o f the  ang le  m e as ure s of the triangle.
Angles of a Triangle Theorem 5-1 Ang le  S um Theorem The sum of the measures of the angles of a triangle is 180.

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