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Transcript
BA Can the following form a triangle? 1. 4, 5, 6 2. 4, 7, 11 3. 10, 20, 35 4, 1, 1, 1 Geometry – Lesson 4.2 Obj: ______________________________________________________________ When two figures are ________________, there is a correspondence between their angles and sides such that ________________________ are _______________ and ___________________________ are ___________________. 1. Name the corresponding parts that are congruent. Theorem 4.3 ___________________________________ If two angles of a triangle are congruent to two angles of another triangle, then the third angles are also congruent. Find the value of x. 2. ______________________________ Three sides of one triangle marked congruent to three sides of a second triangle. _________________________________ Two pairs of congruent sides and the angle in between congruent _________________________________ Two angles congruent and the side in between congruent ___________________________________ Two pairs of congruent angles and a side not between the angles congruent _________________________________ Two pairs of congruent sides and an angle not between the sides congruent http://www.mathopenref.com/congruentssa.html ______________________________ Three pairs of congruent angles http://www.mathopenref.com/congruentaaa.html __________________________________ If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. __________________________________ 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. ___________________________________ If two angles and the included side of one triangle are congruent to two angles and the included side of another then the triangles are congruent. ____________________________________ If two angles and a non-included side of one triangle are congruent to two angles and non-included side of another triangle, then the triangles are congruent. Are the following triangles congruent? If so, write a congruence statement and tell which conjecture supports this statement. 1. 3. 2. 4. 5. 6.