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Download 4-3 to 4-5 Notes - Blair Community Schools
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Transcript
Geometry 4-3 to 4-5 Notes Two polygons are congruent, if and only if, their corresponding parts (angles and sides) are congruent. Congruency Statement Geometry 4-3 to 4-5 Notes 6 in 10 in ~ Pentagon NPQLM Pentagon DEABC = Find: m P = _____ m D = _____ m C = _____ m m Q = _____ L = _____ AB = _____ AE = _____ DC = _____ Corresponding Parts of Congruent Triangles are Congruent Geometry 4-3 to 4-5 Notes 4-4 to 4-5 Notes E A B C G F What do I have to show to say these two triangles are congruent? AAA situation E A G F B C Geometry 4-3 to 4-5 Notes SSA situation SSS Side-Side-Side If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. "Between" the SAS Side-Angle-Side two congruent sides If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. Geometry 4-3 to 4-5 Notes ASA Angle-Side-Angle "Between" the two congruent angles If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. SAA Side-Angle-Angle (AAS Angle-Angle-Side) If two angles and a non-included side of one triangle are congruent to the corresponding two angles and nonincluded side of another triangle, then the triangles are congruent. ~ = ~ = Cannot Be Determined True by AAS Not AAS (might be true but we say...) C. B. D. Make Sure you put in the periods (otherwise I might assume you mean "Triangle CBD.") Geometry 4-3 to 4-5 Notes Good SSS SAS ASA AAS Bad AAA 4.3: 9-16, 18-20 4.4: 5-19, 27, 28 4.5: 6-15, 17-20 Ugly SSA Geometry 4-3 to 4-5 Notes 4.4: 5-19, 27, 28 Special Directions: 5-7, 12-15: Don't prove, just sketch the picture, mark "given" information on picture, then say what reason makes the triangles congruent. 8-11, Find lengths of all 3 sides and see if SSS works. 4.5: 6-15, 17-20 Special Directions: 6-12, 17-20: Don't prove, just sketch the picture, mark "given" information on picture, then say what reason makes the triangles congruent. (HINT: #19 might be easier to sketch as separate triangles.)
