Chapter5 - Triangles and Congruence Triangles and...

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Unformatted text preview: 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 Classifying Triangles Classifying Triangles Yo u will le a rn to ide ntify the pa rts o f tria ng le s a nd to c la s s ify tria ng le s b y the ir pa rts . 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 a ng 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. a c u te The third angle is either _____, ______, or _____. o b tu s e a c u te rig h t EF, FD, and DE. D, E, and F. E, F, and D. DE F Classifying Triangles Classifying Triangles Triangles Classified by Ang le s 60 80 40 a c ute tria ng 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 a le ne is o s c e le s e q uila te ra l no ___ sides congruent __________ sides congruent ___ sides congruent a t le as t two a ll Classifying Triangles Classifying Triangles leg The side opposite the vertex angle is called the _____. The congruent sides are called legs. ba s 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 ___________. ba s e a ng le s Angles of a Triangle Angles of a Triangle Yo u will le a rn 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....
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This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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Chapter5 - Triangles and Congruence Triangles and...

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