Question

I have 5 questions, can someone please help me?

Answer 1

The answer to that is, "maybe."

Answer 2

Here is the first question:

Triangle ABC is shown below.
Given: ∆ABC

Prove: All three angles of ∆ABC add up to 180°.

The flow chart with missing reason proves the measures of the interior angles of ∆ABC total 180°.

Which reason can be used to fill in the numbered blank space?

Associative Property of Addition

Triangle Exterior Angle Theorem

Angle Addition Postulate

Commutative Property of Addition

Answer 3

I think it is "Triangle Exterior Angle Theorem"

Answer 4

I am not quite sure though, can you maybe explain it?

Answer 5

Is anyone there?

Answer 6

@Compassionate
Are you there?

Answer 7

Sorry, I died for a few minutes randomlly. Sorry - I don't know how to solve them. Sorry!

Answer 8

Do you think that you can try helping with the others?

Answer 9

2.

In ∆ABC shown below, ∡BAC is congruent to ∡BCA.

Given: Base ∡BAC and ∡ACB are congruent.

Prove: ∆ABC is an isosceles triangle.

When completed, the following paragraph proves that Line segment AB is congruent to Line segment BC making ∆ABC an isosceles triangle.

Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D.
m∡BDA and m∡BDC is 90° by the definition of a perpendicular bisector.
∡BDA is congruent to ∡BDC by the definition of congruent angles.
Line segment AD is congruent to Line segment DC by _______1________.
∆BAD is congruent to ∆BCD by the _______2________.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.

Answer 10

Answers:
1. Angle-Side-Angle (ASA) Postulate
2. corresponding parts of congruent triangles are congruent (CPCTC)

1. corresponding parts of congruent triangles are congruent (CPCTC)
2. Angle-Side-Angle (ASA) Postulate

1. the definition of a perpendicular bisector
2. Angle-Side-Angle (ASA) Postulate

1. corresponding parts of congruent triangles are congruent (CPCTC)
2. the definition of a perpendicular bisector