Question

What is the reason for statement 3 in this proof?

Answer 1

Answer Choices
definition of angle bisector

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Corresponding angles of congruent triangles are congruent.

Answer 2

In statement 2, an angle bisector was used.
In statement 3, the two angles formed by that bisector are congruent.
What allows you to go from an angle bisector to two congruent angles?

Answer 3

im sorry???

Answer 4

The way you know what the reason is for a statement in a geometry proof is to know what happened in that step based on what was stated earlier.

Here is an example.
Let's say in a proof you're given that polygon ABCD is a parallelogram.
You can then write in a proof

Statements Reasons
1. Polygon ABCD is a parallelogram 1. Given
2. Segment AB is parallel to segment CD

What is the reason for statement 2?
You look at what statement 2 states. It states that two sides of the parallelogram are parallel.
Look at the previous statement in which it is stated that polygon ABCD is a parallelogram.
The definition of a parallelogram is "A parallelogram is a quadrilateral with two pairs of opposite sides parallel.
Clearly, from the definition of parallelogram you can conclude that opposite sides are parallel.
That means reason 2 is:
2. Definition of parallelogram

Answer 5

Now look in your problem.
Statement 3 states that 2 angles are congruent, and you need a reason for it.
Look at the previous statement to see if statement 2 could lead you to conclude that the angles are congruent.
What is stated in statement 2 that may make you conclude the angles are congruent?