Geometry Fall 2024 Final

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

What are the coordinates of point B' after rotating point B(6,5) 180° about the origin?

Back

(0, 0)

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If angle <1 is 115°, what is the measure of angle <5 if they are supplementary?

Back

65°

Front

What is the definition of inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general rule or conclusion is inferred from specific cases.

Front

What is the definition of a conjecture in geometry?

Back

A conjecture is a statement that is believed to be true based on observations but has not yet been proven.

Front

What does it mean to rotate a figure in geometry?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.