Unit 6
The theorem that states if one side of a triangle is longer than another side of a triangle, than the angle opposite the longer side is larger than the angle opposite the shorter side.
What is the Triangle Longer Side Theorem?
A quadrilateral with four equal sides and four right angles
What is a square?
Both of these quadrilaterals have four congruent sides
What does a square and a rhombus have in common?
A set of three positive integers that satisfies a² + b² = c²
What is a Pythagorean Triple?
Coplanar circles than intersect in one point
What are tangent circles?
The point of concurrency of the perpendicular bisectors
What is the circumcenter?
A quadrilateral that has four right angles and two pairs of parallel, unequal-length sides
What is a rectangle?
What does a rectangle and a square have in common?
A triangle with sides n, n, and n√2
What is a 45-45-90 triangle
An angle whose sides are tangent to a circle
What is a circumscribed angle?
The point of concurrency of the medians
What is the centroid?
A quadrilateral that has two pairs of congruent adjacent sides, but no pairs of parallel opposite sides
What is a kite?
All three of these quadrilaterals have perpendicular bisectors?
What does a square, a rhombus, and a kite all have in common?
A quadrilateral with two pairs of consecutive congruent sides and perpendicular bisectors.
What is a kite?
A segment whose endpoints are on a circle
What is a chord?
The point of concurrency of the angle bisectors
What is the incenter?
A segment that contains the midpoints of two sides of the triangle
What is a midsegment?
All three of these quadrilaterals have congruent diagonals
What does a rectangle, a square, and an isosceles trapezoid all have in common?
A triangle with sides n, n√3, and 2n
What is a 30-60-90 triangle?
An angle whose vertex lies on the circle and whose sides contain chords of the circle
What is an inscribed angle?
The point of concurrency of the altitudes
What is the orthocenter?
The theorem that states that the sum of any two sides in a triangle is greater than the length of the third side
What is the Triangle Inequality Theorem?
What is the only quadrilateral with only one pair of parallel sides
What is a trapezoid?
A quadrilateral that has one pair of parallel sides, one pair of non-parallel sides of equal length, and congruent base angles
What is a trapezoid?
A line in the plane of a circle that intersects the circle in exactly one point
What is a tangent?