# Geometry All Around Us

### Tyler Brooks

## Question 1: Proportions

Above, there are two triangles. The measurements for each side of the triangles are given. The triangles are not drawn to scale. Are these triangles similar? If so, what is the ratio of the bigger to the smaller triangle?

## Question 2: Angle Measurements

The angle above is acute. What is the angle measurement of the angle?

A. 90 Degrees B. 84 Degrees

C. 91 Degrees D. 97 Degrees

## Question 3: Triangles

The angle measurements are given. Using the angle measurements, which of the sides is the longest?

## Question 4: Parallel Lines and Transversals

The two lines above are parallel and there is a transversal going through both lines. Angles 7 and 2 are examples of what kinds of angles?

## Question 5: Supplementary Angles

The angles above are supplementary. If the angle on the right is 80 degrees, what is the measurement for angle x?

## Question 6: Perpendicular, Oblique, and Skew Lines

The lines above intersect, but do not form a right angle. What kind of lines are these in relation to one another?

## Question 7: Perpendicular, Oblique, and Skew Lines

The above lines intersect and form a right angle. What types of lines are these in relation to one another?

## Question 8: Proportional Triangles

The triangles above are proportional. Using proportions, find out what the value of x is.

## Question 9: Tessellations!

The shape above is a regular pentagon. Does this shape tessellate?

## Question 10: Proving Triangles Congruent

Above, it shows two triangles that we are trying to prove congruent. If you were to do a proof, what type of proof would you do? Ex. SSS, ASA, SAS

ANSWERS:

1. Yes, 4:1

2. B

3. Side C

4. Alternate Exterior Angles

5. 100 Degrees

6. Oblique

7. Perpendicular

8. x=4

9. No it does not tessellate

10. SAS