Midsegments
A midsegment in a triangle connects the _________ of two sides of a triangle.
What are Midpoints?
An exterior side of a triangle is cut into this many equal parts by a median.
What is 2?
The word bisect means, "to divide into two _____ parts."
What is Equal?
To calculate the centroid of a triangle, you need this many coordinates.
What is 3?
In Triangle ABC,
Angle A = 43 degrees
Angle B = 57 degrees
Angle C = 80 degrees
What is the longest side?
What is Side AB?
A midsegment has this one-word relationship to its third, unconnected side.
What is Parallel?
When three medians in a triangle intersect each other, each medians lengths are split in a _:_ ratio.
What is 2:1? (or 1:2 I guess man)
If a full angle is named with letters and an angle bisector cuts it into two smaller angles, the smaller angles are usually named _ and _.
What are 1 and 2?
The points of the corners of a triangle are called the ________.
What are Vertices?
The largest angle is a triangle is opposite the _______ side.
What is Longest/Largest?
The center triangle that is created via three midsegments in any triangle. Its area is 1/4 the area of the original, larger triangle.
What is Midsegment Triangle?
Three medians divide a triangle into this many small triangles with equal areas.
What is 6?
A angle bisector cuts a 134 degree angle into two. Then, each of those angles is split into 2. The answer is the measure of three of the smallest angles added together.
What is 100.5?
A triangle with all points having a negative x-value and a positive y-value would have a centroid that lies within this quadrant on a coordinate grid.
What is Quadrant II?
This theorem states that any side of a triangle must be shorter than the other two sides added together.
What is Triangle Inequality Theorem?
The midsegment of any triangle is exactly ____ the length of the the third, unconnected side.
What is Half?
Three medians intersect at this point.
What is Centroid?
This is the point where three interior angle bisectors intersect in a triangle.
What is Incenter?
The formula for centroid is most similar to the formula for this mathematical concept.
What is Midpoint?
This theorem can be used alongside an inequality to determine if a triangle is right, obtuse, or acute, when given the measurements of the three sides.
What is Pythagorean Theorem?
Three midsegments in a triangle create this many congruent triangles.
What is 4?
The median of a triangle connects a ______ to the ________ of the opposite side in a triangle.
What are Vertex and Midpoint?
This is the largest possible circle that fits within a triangle. It touches all three sides exactly once.
What is Incircle?
In any figure, the centroid represents the _______ position of all points within an object.
What is Average?
This inequality can be written to express the range of possible side lengths for the third side. Fill in the gap.
a - b < ___ < a + b
What is c?