Semester 1 Geometry Review

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is also the center of the circle inscribed within the triangle.

Front

What does it mean for points to be collinear?

Back

Collinear points are points that lie on the same straight line.

Front

Define an acute angle.

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is the formula for finding the length of a segment in a triangle?

Back

The length of a segment can often be found using the Pythagorean theorem or by applying triangle congruence postulates.

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, the triangles are congruent.

Front

What is the difference between acute, right, and obtuse angles?

Back

Acute angles measure less than 90 degrees, right angles measure exactly 90 degrees, and obtuse angles measure more than 90 degrees but less than 180 degrees.

Front

How do you find the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

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 a triangle intersect, and it is the center of the circumcircle that passes through all three vertices.

Front

What is the relationship between the angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).