Practice Examination - 1st Semester Geometry

Front

What is the measure of \( \angle U \)?

Back

The measure of \( \angle U \) is \( 35\degree \).

Front

What additional information is needed to prove \( \Delta ABC \cong \Delta AED \) by SAS?

Back

You need \( BC \cong DE \).

Front

Which set of congruence statements shows that \( \Delta PSC \cong \Delta RGM \) by the SAS Triangle Congruence Theorem?

Back

The statements are: \( PS \cong RG \), \( PC \cong RM \), and \( \angle SPC \cong \angle GRM \).

Front

What is the area for the composite shape shown in the diagram?

Back

The area is \( 136cm^2 \).

Front

What point of concurrency is determined by the 3 angle bisectors of any triangle?

Back

The point of concurrency is the Incenter.

Front

What is the definition of congruent triangles?

Back

Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS (Side-Angle-Side) Triangle Congruence Theorem 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.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).

Front

What is the definition of an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the definition of a centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.