Thinking and Reasoning Geometrically
Using Tools of Geometry
Discovering & Proving Triangle Properties
Polygon Properties
Random Trivia
100
This is the process of observing data, recognizing patterns, and making generalizations about those patterns...
What is Inductive Reasoning?
100

Using a compass and a straightedge rather than relying on measurements to create geometric shapes and relationships is called this...

What is a construction?

100

The triangle sum theorem states that the sum of the measures of the angles in every triangle is this...

What is 180 degrees?

100

180(n-2) where n is the number of sides of a convex polygon, is this...

What is the Polygon Interior Angle Sum?

100

The length of the Grand Canyon is this many miles.

What is 277 miles?

200

2, 4, 7, 11, and this next number...

What is 16?

200

This is a line that divides a line segment into two congruent parts and meets the line segment at a 90 degree angle...

What is perpendicular bisector?

200

The base angles in this type of triangle are congruent...

What is an Isosceles Triangle?

200

The exterior angle sum conjecture states this...

What is the sum of the measures of the exterior angles of any polygon is 360 degrees?

200

Batman, Superman and this heroine are considered "The Big Three" of DC Comics...

Who is Wonder Woman?

300

If two angles form a linear pair, then the angles are supplementary or add up to this measurement...

What is 180 degrees?

300

This is the segment connecting the vertex of a triangle to the midpoint of its opposite side...

What is a median?

300

A triangle with side lengths 4 cm, 5 cm, and 9 cm is (possible or impossible) to draw...

What is impossible?

300

Each interior angle of a regular hexagon has this angle measure...

What is 120 degrees?

300

The world's largest marsupial.

What is a Kangaroo?

400

This is the slope formula...

What is (y2 - y1)/(x2-x1)?

400

The shortest distance from a point to a line is measured along this segment...

What is perpendicular segment?

400

These triangle congruences do not prove triangles congruent...

What are Angle-Angle-Angle (AAA) and Side-Side-Angle (SSA)?

400

These angles of a trapezoid are supplementary...

What are consecutive angles?

400

The 14th U.S. state to enter the union.

What is Vermont?

500

Angles A and B are complementary. The measure of angle A = 25. Find the measure of angle B is this type of reasoning...

What is Deductive Reasoning?

500

In the coordinate plane, two lines are perpendicular when their slopes are this...

What is opposite (or negative) reciprocals?

500

If two angles of one triangle are congruent to two angles of another triangle, this can be said about the third angles of the triangles...

What is "the third angles are congruent"?

500

The midsegment of a triangle has these two relationships with its third side...

What is parallel and half the length?

500

The body parts that connect muscle to bone?

What are tendons?

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