Perpendicular Bisectors | Angle Bisectors | Medians and Altitudes | Triangles, Triangles Triangles! | Inequalities, Side Length and Angle Measure |
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What is 90 degrees?
A perpendicular bisectors creates this angle when it intersects a segment.
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What is 42.5 degrees?
This is the measure of each of the resulting smaller angles when an 85 degree angle is bisected.
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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".
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What is 180 degrees?
This is the sum of all the interior angles of a triangle.
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What is the largest angle?
The longest side of a triangle is directly across from this angle.
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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.
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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.
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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.
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What is 60 degrees?
This is the measure of one angle of an equialateral triangle.
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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.
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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.
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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.
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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.
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What is an acute triangle?
This is the name of a triangle whose angles are all smaller than 90 degrees.
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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.
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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.
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What is 180 degrees?
An angle bisector could be a perpendicular bisector is this was the measure of the original angle.
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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.
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What is a midsegment?
This is the name of the segment that can be drawn between any two midpoints of a triangle's sides.
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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).
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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".
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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".
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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.
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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.
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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.
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