# Geometry All Around Us

### Paxton O'Bryen

Lines a & b are parallel. What is the relationship between angles 1 & 2?

Answer: Alternate Interior Angles

Are lines a & b parallel? Explain.

Answer: Yes, because alternate interior angles are congruent.

What is the relationship between these two angles?

Answer: Supplementary

What proves these triangles congruent?

Answer: ASA

What is the relationship between these two angles?

Answer: Complementary

What type of triangle it this?

Answer: Isosceles

Are these triangles congruent? What postulate proves this?

Answer: Yes, ASA

What is the relationship between these two angles?

Answer:Vertical Angles

What proves these two triangles congruent?

Answer: SAS

What is the measure of one interior angle in this octagon?

Answer: 135