Review for the Final Exam - Geometry 2025

Front

What is the relationship between the height of an object and the length of its shadow when using similar triangles?

Back

The height of an object and the length of its shadow are proportional to the height and shadow length of another object, allowing us to set up a ratio to find unknown heights.

Front

What is the CPCTC Theorem in geometry?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding angles and sides of congruent triangles are equal.

Front

In an isosceles triangle, if the base angles are equal, how do you find the vertex angle?

Back

The vertex angle can be found using the formula: Vertex Angle = 180° - 2(Base Angle). For example, if the base angle is 40°, then the vertex angle is 180° - 2(40°) = 100°.

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

If a line bisects an angle, what can we say about the two angles formed?

Back

The two angles formed are equal in measure.

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 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 definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

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°.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.