Geometry Regents Review #5

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

Define a polygon.

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end. Examples include triangles, quadrilaterals, pentagons, etc.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 × base × height.

Front

What is a complementary angle?

Back

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

Front

What is the difference between a radius and a diameter?

Back

The radius is the distance from the center of a circle to any point on its circumference, while the diameter is the distance across the circle through the center, equal to twice the radius.

Front

Define similar triangles.

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle can be calculated using the formula: Circumference = 2 × π × radius.

Front

What is a transversal?

Back

A transversal is a line that intersects two or more lines at different points, creating various angles.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.