A segment that connects the midpoints of two sides of a triangle.
What is Mid-segment of a Triangle?
100
The lines containing the altitudes of a triangle are congruent.
What is Theorem 5.9- Concurrency of Altitudes of a Triangle?
100
Describes when a point is the same distance from two or more figures.
What is Equidistant?
100
If AB is a mid segment opposite HI in triangle HIJ, and AB=3X+8, and HI=2X+24, this is what X is equal to.
What is X=4?
100
The length of a midsegment BN=55 feet, its corresponding side RY has a length of x feet. Find the value of X.
x=110
200
When three or more lines, rays, or segments interest in the same point.
What is Concurrency?
200
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
What is Theorem 5.5- Angle Bisector Theorem?
200
Where is the circumcenter of an acute triangle, a right triangle, and an obtuse located?
Acute=Inside the triangle.
Right=On the triangle.
Obtuse=Outside the triangle.
200
If two legs of a triangle are equal to 2X and 4X-14, and X=7, this is the type of triangle the sides are part of.
What is an isosceles triangle?
200
Triangle BEN has side lengths 3, 5, and x. Use the Triangle Inequality Theorem to write an inequality involving X.
2<x<8
300
A segment from a vertex to the midpoint of the opposite side.
What is Median of a Triangle?
300
In a plane, if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
What is Theorem 5.3- Converse of the Perpendicular Bisector Theorem?
300
If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.
What is Theorem 5.10?
300
If A(3X-5ft) and B(4X-6ft) are on either side of an angle and are equidistant from the vertex, this is how far the two points are from the angle bisector.
What is 1 foot?
300
Angle RLY is bisected by segment LQ forming two angles, angle QLR and angle QLY. Angle QLR=3x-5 and angle QLY=2x+9. Solve for X.
x=14
400
A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.
What is Perpendicular Bisector?
400
The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of a triangle.
What is Theorem 5.4- Concurrency of Perpendicular Bisectors of a Triangle?
400
This is the point of concurrency of the perpendicular bisectors of a triangle.
What is the circumcenter?
400
If B is a vertex of a triangle and BF is the median of a triangle, this is what BF is equal to if PF is equal to 90.
What is 270?
400
In scalene triangle XYZ, XY=5x, YZ=7x-5, and ZX=-2x+15. Find the value of X.
x=7
500
Involves placing geometric figures on a coordinate plane and using variables to represent the coordinates.
What is Coordinate Proof?
500
The medians of a triangle intersect at a point that is two thirds of the distant from each vertex to the midpoint of the opposite side.
What is Theorem 5.8- Concurrency of Medians of a Triangle?
500
QB bisects angle ABC. Segment QA is perpendicular to segment AB and segment QC is perpendicular to segment CB. What can be said about segment QA and segment QC, and if QA=7, what does QC equal?
Segment QA is congruent to Segment QC.
QC=7
500
If, in triangle WXY, angle X is equal to 94 degrees, this is the longest side of the triangle.
What is WY?
500
AP bisects angle BPC. Segment AB is perpendicular to segment BP and segment AC is perpendicular to segment CP. Segment BP=7x+2, AB=5x-3, and AC=3x+9. Find the value of X.