Bisectors
Circumcenter & Incenter
Centroid & Orthocenter
Midsegments
Inequalities in One Triangle
100
If a point is on the bisector of an angle, then it is equidistant from the two sides of the _____.
What is angle?
100
When three or more lines, rays, or segments intersect in the same point, they are called _______ lines, rays, or segments.
What is concurrent?
100
A(n) _______ of a triangle is a segment from a vertex to the midpoint of the opposite side.
What is median?
100
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is ____ as long as that side.
What is half?
100
The sum of the lengths of any two sides of a triangle is ____ the length of the third side.
What is greater?
200
The length of CD.
What is 27?
200
A carnival operator wants to locate a food stand so that it is the same distance from the carousel (C), the Ferris wheel (F), and the bumper cars (B). What is the best location for the food stand?
What is the circumcenter?
200
A(n) ________ of a triangle is the perpendicular segment from a vertex to the opposite side or the line that contains the opposite side.
What is orthocenter?
200
What is 11?
200
List the angles of the triangle in order from the largest to the smallest.
What is
/_R, /_Q, /_P
300
The length of GH.
What is 16?
300
The length of ND.
What is 43?
300
Where is the orthocenter of the triangle with vertices D(0, 3), E(0, -2), and F(6, -3) located?
What is outside?
300
The length of GH.
What is 12?
300
List the sides of the triangle in order from shortest to longest.
What is
bar(DF), bar(FG), bar(DG)
400
What is 112o?
400
The incenter of a triangle always lies _____ the triangle.
What is inside?
400
Find RQ and RV.
What is 10 and 15?
400
The length of GJ.
What is 10.6?
400
Is it possible to construct a triangle with side lengths of 4, 5, and 9? Explain.
What is no, 4+5 is not greater than 9?
500
The equation for the perpendicular bisector of
What is
y=4x+13
500
Find the coordinates of the circumcenter of the triangle with points D(6, 4), E(-2, -4), and F(-2, -2).
What is (2, 1)?
500
Find the coordinates of the centroid of a triangle with vertices A(0, 4), B(-4, -2), and C(7, 1).
What is (1, 1)?
500
The walking path BD in a park intersects two sides of the park at their midpoints. You walk from park corner A to the walking path BD, up the path to the other side of the park, up to corner E, and then back down to your starting point. About how many yards do you walk?
What is 402 yards?
500
A triangle has one side of length 46 centimeters and another side of length 49 centimeters. Describe the possible lengths of the third side.
What is
3 cm <x<95 cm