# Geometry All Around Us

### By: Alena Stubenhofer Period 4

## problem 1

Given that line EF is parallel to line GH and line AB and line CD are parallel, which angles are proven congruent by alternate exterior angles?

## problem 2

Prove that triangle ABC is congruent to triangle DBE. Given: line AE bisects line CD and side AC and side DE are congruent.

## problem 3

This diagram is not drawn to scale! What would the last angle in this square have to be in order to be a quadrilateral? Then, find the angle measurement of the exterior angle.

## problem 4

Prove triangle ACD and triangle ACB congruent. Given: AC bisects angle a and angle c. Side AD is congruent to side AB

## Problem 5

The rectangle is in a pattern made of identical shapes...What is this called?

## Problem 6

What shape is this? Find the other angle measurements.

## Problem 7

Assume these are lines... Would they be parallel, oblique, or skew?

## Problem 8

Choose the method that explains why triangle ABC is similar to triangle DEF.

A) AA B) SSS C)SAS D) not possible

## Problem 9

What kind of triangles are these? If angle d and angle a are congruent, what postulate would you use to solve these congruent?

## problem 10

How many diagonals could be drawn in this octagon?

## answers

1. 1&16, 13&4

2. SAS

line AE bisects line CD

Vertical angles are congruent

side AC and side DE are congruent.

3. 74 & 106

4. AAS

AC bisects angle a and angle c.

Side AD is congruent to side AB

5. tesselations

6. 150 degrees

7. skew

8. not possible

9. isosceles & ASA

10. 48