Perpendicular Bisectors Angle Bisectors Medians and Altitudes Triangles, Triangles Triangles! Inequalities, Side Length and Angle Measure
100
What is 90 degrees?
A perpendicular bisectors creates this angle when it intersects a segment.
100
What is 42.5 degrees?
This is the measure of each of the resulting smaller angles when an 85 degree angle is bisected.
100
What is the Orthocenter?
This is the point where all the altitudes of a triangle intersect. It is not the Incenter or Circumcenter, but another "-center".
100
What is 180 degrees?
This is the sum of all the interior angles of a triangle.
100
What is the largest angle?
The longest side of a triangle is directly across from this angle.
200
What is the circumcenter?
When the perpendicular bisectors of a triangle intersect they create this point, also known as the center of a circle that passes through all vertices of a triangle.
200
What is 3:00pm?
If an angle were created on a clock at 6:00pm, this would be the time created with the angle bisector of that angle.
200
What is the centroid?
This is the point where all the medians of a triangle intersect. It may sound like the name of a robot in a science fiction movie.
200
What is 60 degrees?
This is the measure of one angle of an equialateral triangle.
200
What is angle C?
In triangle ABC, this angle is across from the shortest side when the sides measure: AB=3, BC=4, AC=5.
300
What is 20 units?
This is the length of a segment if when intersected by a perpendicular bisector creates two smaller segments, one of which is 10 units in length.
300
What is the incenter?
The angle bisectors of a triangle interest at this point, also known the center of the circle that touches each side of the triangle from the inside.
300
What is a midpoint?
A median is created by connecting a segment from a vertex of a triangle to this opposite side's point, which is also created with a perpendicular bisector.
300
What is an acute triangle?
This is the name of a triangle whose angles are all smaller than 90 degrees.
300
What is shorter (less than)?
The longest side lenght of a triangle must be this, when compared to the sum of the lengths of the shorter two sides of the triangle.
400
What is an altitude?
In an isosceles triangle, a perpendicular bisector from the vertex angle is also an angle bisector, a median, and this. Also known as the height of a triangle.
400
What is 180 degrees?
An angle bisector could be a perpendicular bisector is this was the measure of the original angle.
400
What is a right angle?
Better known as the height of a triangle, the altitude of a triangle extends down from a vertex and creates this angle at the base of the triangle.
400
What is a midsegment?
This is the name of the segment that can be drawn between any two midpoints of a triangle's sides.
400
What is 5 inches?
If the two longest sides of triangle are 7 and 11 inches, this is the smalles possible measurement of the third side (in whole inches).
500
What is 2?
A perpendicular bisector splits segment into two smaller segments. One is "x + 6" in length, and the other is "2x + 4" units in length. This is the value of "x".
500
What is Euler's Line?
The angle bisector is the only point that we have constructed that does not lie on this line, which has a name that starts off sounding like "Oil".
500
What is an obtuse triangle?
The orthocenter along with circumcenter can lie on the outside of a triangle when this is the type of triangle you are working with.
500
What is the Pythagorean Theorem?
In a right triangle, this equation, also known as a "Theorem" can be used to find the length of a missing side if two side lengths are known.
500
What is between 9 inches and 35 inches.
Two sides of a triangle measure 13 inches and 22 inches. This is the range of possible length of the third side.






Chapter 5 - Geometry

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