Mathematics, 05.06.2021 22:50 lea5261
Prove: m∠BAC = m∠BCA Statement Reason 1. Let ∆ABC be an isosceles triangle where AB = BC. given 2. Create point D on side so that bisects ∠ABC as shown. constructing an angle bisector 3. M∠ABD = m∠CBD 4. BD = BD Reflexive Property of Equality 5. ∆ABD ≅ ∆CBD SAS 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 3 in this proof?
Answers: 3
Mathematics, 21.06.2019 14:30
Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?
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Prove: m∠BAC = m∠BCA Statement Reason 1. Let ∆ABC be an isosceles triangle where AB = BC. given 2. C...
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