Geometry Pre-Assessment

Front

What does ASA stand for in triangle congruence?

Back

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

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the solution for x in the equation 2x + 4 = 24?

Back

x = 10.

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc can be found using the formula: Arc Measure = (Central Angle/360) * Circumference of the Circle.

Front

If a man who is 6 feet tall casts a shadow of 4 feet, how tall is a flagpole that casts a shadow of 18 feet?

Back

Using similar triangles, the height of the flagpole is 27 feet.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

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): a² + b² = c².

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by the formula A = (base * height) / 2.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

What does the term 'complementary angles' mean?

Back

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