Geometry Semester 1 Review

Front

What is the Pythagorean Theorem?

Back

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

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method of proving two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

How do you simplify a radical?

Back

To simplify a radical, factor the number under the radical into its prime factors and look for pairs of factors. For example, √(36) = 6 because 36 = 6 × 6.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 × base × height.

Front

What is the difference between SAS and SSA in triangle congruence?

Back

SAS (Side-Angle-Side) means two sides and the included angle are known, while SSA (Side-Side-Angle) does not guarantee congruence due to the ambiguous case.

Front

What is a rhombus?

Back

A rhombus is a type of parallelogram where all four sides are of equal length.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2, where 1 is the length of the side opposite the 30-degree angle.

Front

What is a kite in geometry?

Back

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.

Front

How do you find the missing side of a right triangle using the Pythagorean theorem?

Back

To find the missing side, rearrange the Pythagorean theorem formula: c² = a² + b². Solve for the missing side.