Midterm Practice Test (Original Problems)

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

State the Pythagorean theorem.

Back

Front

How do you find the height of a tree using similar triangles?

Back

To find the height of a tree using similar triangles, you can set up a proportion based on the height of a known object and its shadow compared to the height of the tree and its shadow.

Front

Back

Front

Back

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

Explain the difference between SAS and ASA in triangle congruence.

Back

SAS (Side-Angle-Side) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. ASA (Angle-Side-Angle) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the formula for the area of a triangle?

Back

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is crucial in applying the Pythagorean theorem.

Front

Define a binomial expression.

Back

A binomial expression is a polynomial that contains exactly two terms, which can be separated by a plus or minus sign.