How many mid-segments does a triangle have?
A triangle has 3 mid-segments.
Each mid-segment is ________ to the third side.
Each mid-segment is PARALLEL to the third side.
Each mid-segment is ________ the length of the third side.
Each mid-segment is HALF the length of the third side.
What is the formula for the perimeter of a big triangle?
The formula for a big triangle is:
2(perimeter of small triangle)=perimeter of big triangle
What is the formula for the area of a big triangle?
The formula for the big triangle is:
4(area of small triangle)=area of big triangle
What does the perpendicular bisector do?
The perpendicular bisector divides a segment in half, perpendicularly.
What is the perpendicular bisector theorem?
Perpendicular bisector theorem is:
"if the point on the perpendicular bisector of a segment, then it is equidistant (equal-distant) from the endpoints of the segment.
What is the converse of the perpendicular bisector theorem?
Converse of the perpendicular bisector theorem is:
"If a point is equidistant from the endpoints of a segment, then it must lie on the perpendicular bisector of the segment.
What does an angle bisector do?
An angle bisector divides angles in half.
What is the angle bisector theorem?
The angle bisector theorem is:
"If a point lies on the angle bisector, then it is equidistant from the two sides of the angle perpendicularly.
What is the converse of the angle bisector theorem?
The converse of the angle bisector theorem is:
"If a point is equidistant from the sides of the angle perpendicularly, then it lies on the bisector of the angle.
What is the median of a triangle?
The median of a triangle is:
"A segment from a vertex to the midpoint of the opposite side.
What is the point of concurrency?
The point of concurrency is:
"The point where three or more lines, rays, or segments intersect.
What is the centroid?
The centroid is:
"The point of concurrency where the three medians of a triangle intersect. This is the balancing point of the triangle, and must be inside the triangle.
What is the concurrency of medians theorem?
The concurrency of medians theorem is:
"Centroids divide medians into two parts. 2 parts for the longer version, one part fro the shorter version.
What is the formula for finding out the longer length of a line?
The formula for finding out the longer length of a line is:
Long: 2(short)
What is the formula for finding out the whole length of a line?
The formula for finding out the whole length of a line is:
Whole : 3(short)
What is the altitude of a triangle?
The altitude of a triangle is:
"A segment from a vertex to the opposite side perpendicularly.
The altitude is also described as the ________ of the triangle.
The altitude is also describe as the HEIGHT of the triangle.
How many altitudes are there per triangle? What are they?
There are three altitudes per triangle. An altitude can be inside, outside, or on the side of the triangle.
The smallest angle is across from the _________ side.
The smallest angle is across from the SHORTEST side.
The middle angle is across from the __________ side.
The middle angle is across from the MIDDLE side.
The largest angle is across from the ____________ side.
The largest angle is across from the LONGEST side.
What is the triangle inequality theorem?
The triangle inequality theorem is:
"The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
How do you find the length of a third side?
To find the length of the third side:
-Add to find the max
-Subtract to find the min
What is the hinge theorem?
The hinge theorem is:
"If two sides of one triangle are congruent to two sides of a second triangle and included angle of the first triangle is less then the included angle of the second triangle, then the third side of the first triangle is less then the third side of the second triangle.