Intro to Geometry & Proof

Talk the Talk(Vocabulary)

300

Having the same size and same shape.

congruent 

cong

400

To break a figure down into smaller, simpler parts.

decompose

500

Lines that are non-coplanar, are not parallel, and do not intersect

skew lines

Coordinate Geometry

300

Find the midpoint between points M(-8,-9) and E(0,-3).

M(-4,-6)

400

Find the area of the triangle.

area = 22.5 u²

500

Find the perimeter of the triangle.

Exact 

=9+sqrt41+sqrt50

Approximate 

approx 22.47

Algebra inGeometry

300

Solve for x.

x=3

400

x=4

500

Solve for x.

x=2

Prove It

300

Is the converse statement true or false? If it is false, provide a counterexample.

Conditional Statement:  "If I have $0.25, then I have two dimes and a nickel."

Converse: "If I have two dimes and a nickel, then I have $0.25."

True. The conditional statement is false in this case.

400

Draw a counterexample for the definition.

"A triangle is a figure with 3 connected lines and three angles."

Many possible counterexamples. One of them:

500

Is the converse statement true or false. If it is false, provide a counterexample.

Conditional Statement: "If x=2, then x²=4."

Converse: "If x²=4, then x=2." 

False. The variable x can also equal -2.

Trivia Time

200

It is the largest desert in the world.

Antarctica

300

Mandarin is the most spoken 1st-language in the world with around 885,000,000 speakers.

What is the second most spoken 1st-language in the world?

Spanish

400

The northernmost state in the continental United States of America.

Minnesota

500

This country has the longest coastline in the world.

Canada