Question

Given: ∠1 , ∠2 , ∠3 , and ∠4 formed by two intersecting segments. Prove: ∠1 and ∠3 are congruent. The figure shows 2 intersecting lines. One line rises from left to right and the other line falls from left to right. The 4 angles formed moving clockwise as angles 1, 2, 3, and 4. Drag the answers into the boxes to correctly complete the proof.

Answer 1

Answer:

Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.

Step-by-step explanation:

Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.

Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.

Answer 2

Answer:

1 ) definition of a linear pair

2 ) substitution property

3 ) subtraction property of equality

4 ) angle congruence postulate

Step-by-step explanation:

Just took the test, hope this helped :)