# with a transversal that intersects them

August 30, 2017

Question
03_06_GEM

Throughout this module, you have proven theorems on lines, angles, triangles, and parallelograms. Now you will create your own statement and prove it!

Line/Angle Proof

STEP 1

Find vertical angles, two parallel lines with a transversal that intersects them, or a perpendicular bisector in your everyday world. Take a picture of it. Then, create a given and prove statement for the figure. Finally, write a proof using at least one of the following theorems:

Vertical Angles
Corresponding Angles
Alternate Interior Angles
Equidistance of a Point on a Perpendicular Bisector
Your proof may be a two-column, paragraph, or flow chart proof. Take a look at an example to help you get started.

Triangle Proof

STEP 2

Find a triangle in your everyday world. Take a picture of it. Then, create a given and prove statement for the figure. Finally, write a proof using at least one of the following theorems:

Triangle Sum
Isosceles Triangle
Converse of the Isosceles Triangle
Midsegment of a Triangle
Concurrency of the Medians of a Triangle
Your proof may be a two-column, paragraph, or flow chart proof. Take a look at an example to help you get started.

Parallelogram Proofs

STEP 3

Find a parallelogram in your everyday world. Take a picture of it. Then, create a given and prove statement for the figure. Finally, write a proof using at least one of the following properties:

Opposite Sides are Congruent
Opposite Angles are Congruent
Diagonals of a Parallelogram Bisect Each Other
Converse of Bisecting Diagonals of a Parallelogram
Rectangles are Parallelograms with Congruent Diagonals
Your proof may be a two-column, paragraph, or flow chart proof. Take a look at an example to help you get started.

What to Submit
STEP 4

The three different given and prove statements with their accompanying proofs.
The images for each proof.

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