Mathematics, 30.06.2019 07:00 ryanez5306

Select the correct answer. given: ∆abc is an isosceles triangle where ab = bc 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? a. definition of angle bisector b. alternate interior angles theorem c. corresponding angles theorem d. corresponding angles of congruent triangles are congruent.

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Answer from: nicollexo21

A. definition of angle bisector

Step-by-step explanation:

Since, An angle bisector always divides an angle into two congruent angles.

Given: ∆ABC is an isosceles triangle

Where AB = BC

Prove: m∠BAC = m∠BCA

Statement Reason

1. Let ∆ABC be an isosceles triangle where AB = BC 1. Given

2. Create point D on side so that bisects ∠ABC 2. constructing an

angle bisector

3.m∠ABD = m∠CBD 3. definition of angle

bisector

4. BD = BD 4.Reflexive Property of

Equality

5.∆ABD ≅ ∆CBD 5. SAS

6. m∠BAC = m∠BCA 6. CPCTC

Answer from: Quest

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Answer from: Quest

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

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Select the correct answer. given: ∆abc is an isosceles triangle where ab = bc prove: m∠bac = m∠bca...

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