HGeom - 5.1-5.3 Review

Front

What is a parallel segment?

Back

A parallel segment is a line segment that runs parallel to another line segment, meaning they are always the same distance apart and will never intersect.

Front

How do you find the length of a missing segment in a triangle?

Back

To find the length of a missing segment in a triangle, you can use the properties of triangles, such as the Pythagorean theorem, or the triangle inequality theorem.

Front

What is the incenter of a triangle?

Back

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

Front

How do you calculate the length of a segment given two endpoints?

Back

The length of a segment can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Front

What is the significance of the inradius in a triangle?

Back

The inradius is the radius of the inscribed circle of a triangle, which is the circle that touches all three sides. It is important for calculating the area of the triangle.

Front

What is the relationship between parallel lines and transversals?

Back

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

Front

How do you determine if two segments are parallel?

Back

Two segments are parallel if they have the same slope when graphed on a coordinate plane or if they are both perpendicular to the same line.

Front

What is the formula for the area of a triangle?

Back

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

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

How do you find the length of a segment using coordinates?

Back

To find the length of a segment using coordinates, apply the distance formula: d = √((x2 - x1)² + (y2 - y1)²).