Geometry Midterm 2024 Copy 1

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is NOT a valid criterion for triangle congruence because it can lead to ambiguous cases.

Front

How do you determine if three lengths can form a triangle?

Back

Use the Triangle Inequality Theorem: For lengths a, b, and c, check if a + b > c, a + c > b, and b + c > a.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side. Conversely, the smaller the angle, the shorter the opposite side.

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 the difference between acute, obtuse, and right triangles?

Back

An acute triangle has all angles less than 90 degrees, a right triangle has one angle equal to 90 degrees, and an obtuse triangle has one angle greater than 90 degrees.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.