Midsegment Theorem
Perpendicular Bisectors
Angle Bisectors
Pythagorean Theorem
100
What does the midsegment of a triangle connect?
The midpoints of two sides of a triangle.
100
A point equidistant from the endpoints of a segment is on the ________ of the segment.
Perpendicular bisector.
100
If a point is on the bisector of an angle, then it is equidistant from _____________.
The 2 sides of the angle
100
Find the missing side.
20 cm
200
What is the relationship between the slope of a midsegment and the slope of the opposite side?
They are the same (parallel)
200
The two lines that run from the perpendicular bisector to the base on opposing sides are valued at 3x+9 and 5x-3. What is the value of x?
x = 6
200
If two angles are separated by the angle bisector and one of the angles is 34 degrees, what is the value of the entire angle?
68 degrees.
200
Find e
12 cm
300
How many midsegments does a triangle have?
3
300
Find MN
72
300
Find ML
11
300
To wash a window that is 8 meters off the ground, Ben leans a 10 meter ladder against the side of the building. To reach the window, how far from the building should Ben place the base of the ladder?
6 meters
400
Midsegment length: 8x-1
Opposite side length: 13x-1
Find x.
x = 1/3
400
Find JL
68
400
Find angle BDC
77
400
The hypotenuse a right triangle is 10 cm. The other two are both of length x. Calculate x to 2 decimal places.
x = 7.07 cm
500
If the midsegment of a triangle is 3x+3 and its opposite side is 4x+7, what is the value of x?
x=1/2?
500
Find CD
48
500
Find angle YWX
34
500
A triangle has sides with lengths of 10 meters, 16 meters and 20 meters. Is it a right triangle? Explain your reasoning.
No. Does not satisfy the pythagorean theorem.
a^2+b^2!=c^2