Mathematics, 11.07.2019 19:10 crazteeyn8290
Abc is an isosceles triangle with legs ab and ac. ? ayx is also an isosceles triangle with legs ay and ax. the proof that ? abc ~ ? ayx is shown. statements reasons 1. ? abc is isosceles with legs ab and ac; ? ayx is also isosceles with legs ay and ax. 1. given 2. ab ? ac and ay ? ax 2. definition of isosceles triangle 3. ab = ac and ay = ax 3. definition of congruency 4. ay • ac = ax • ac 4. multiplication property of equality 5. ay • ac = ax • ab 5. substitution property of equality 6. 6. division property of equality 7. 7. division property of equality 8. ? 8. ? 9. ? abc ~ ? ayx 9. sas similarity theorem which statement and reason are missing in the proof? ? a ? ? a; reflexive property ? x ? ? x; reflexive property ? abc ? ? ayx; corresponding angles of similar triangles ? abc ? ? axy; corresponding angles of similar triangles
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