Geometry Chapter 5 Test Flashcards

A segment connecting a vertex of a triangle to the midpoint of the opposite side.

The point of intersection of the three medians in a triangle. It divides each median into segments with a 2:1 ratio and is the triangle's center of gravity.

A perpendicular segment from a vertex of a triangle to the line containing the opposite side.

The point of concurrency of the three altitudes of a triangle. It's where all the right-angle lines meet.

A line or segment that intersects another segment at its midpoint and forms a right angle.

The intersection point of the three perpendicular bisectors of a triangle. It's the center of the circle that goes through all three vertices.

A segment that divides an angle into two equal angles.

The intersection point of the three angle bisectors of a triangle. It is the center of the circle that touches all three sides.

A circle that surrounds a polygon where all vertices lie on the circle.

A circle that touches each side of a polygon at exactly one point.

A quadrilateral with both pairs of opposite sides parallel.

A quadrilateral with four right angles.

A quadrilateral with four congruent sides.

A quadrilateral with four congruent sides and four right angles.

A quadrilateral with exactly one pair of parallel sides.

A trapezoid with congruent non-parallel sides.

The parallel sides of a trapezoid. They are the two sides that never touch.

The non-parallel sides of a trapezoid. They are the two sides that connect the bases.

A segment connecting the midpoints of the legs of a trapezoid. It is parallel to the bases and its length is the average of the base lengths.

A point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

A point that is equidistant from the endpoints of a segment lies on the perpendicular bisector of that segment.

A point on the angle bisector of an angle is equidistant from the sides of the angle.

A point that is equidistant from the sides of an angle lies on the angle bisector of that angle.

In a parallelogram, opposite sides are congruent (equal in length).

In a parallelogram, opposite angles are congruent (equal in measure).

The diagonals of a parallelogram bisect each other (cut each other in half).

If the opposite sides of a quadrilateral are congruent, then it is a parallelogram.

If one pair of sides in a quadrilateral is both congruent and parallel, then it is a parallelogram.

If the opposite angles of a quadrilateral are congruent, then it is a parallelogram.

If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

All points on a line are equidistant from a parallel line.

If multiple parallel lines cut congruent segments on one transversal, they do so on any other transversal.

A line passing through the midpoint of one side of a triangle and parallel to another side, will pass through the midpoint of the third side.

The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

The diagonals of a rectangle are congruent (equal in length).

The diagonals of a rhombus are perpendicular (intersect at a right angle).

Each diagonal of a rhombus bisects two angles of the rhombus.

The midpoint of the hypotenuse in a right triangle is equidistant from all three triangle vertices.

If an angle in a parallelogram is right, then the parallelogram is a rectangle.

If two consecutive sides of a parallelogram are congruent, then it is a rhombus.

The base angles of an isosceles trapezoid are congruent (equal in measure).

The median of a trapezoid is parallel to the bases and its length is equal to the average of the base lengths.