Geometry Unit 5 Test Review

Front

What is the formula to find the centroid of a triangle with vertices A(x1, y1), B(x2, y2), and C(x3, y3)?

Back

The centroid (G) is given by G = (\frac{x1 + x2 + x3}{3}, \frac{y1 + y2 + y3}{3}).

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which can be proven using criteria such as SSS, SAS, ASA, AAS, or HL.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of the triangle intersect, and it is equidistant from all three vertices.

Front

How do you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure, which can be shown using angle relationships or properties.

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When a transversal crosses parallel lines, corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

What is the Pythagorean theorem?

Back

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle can be calculated using the formula A = \frac{1}{2} \times base \times height.

Front

What is the difference between the centroid and the circumcenter of a triangle?

Back

The centroid is the point where the medians intersect and is the center of mass, while the circumcenter is the point where the perpendicular bisectors intersect and is equidistant from the vertices.

Front

What is the definition of similar triangles?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.