Midsegments
A midsegment connects these two points.
What is a midpoint?
A midpoint splits a segment into two _______ parts.
What is congruent/equal?
To bisect is to ______
What is to cut in half? OR
What is to cut into two equal pieces?
When a bisector cuts an angle in half, the resulting pieces are ______.
Sides "a" and "b" of a right triangle are called ______.
A midsegment is ________ of the third/ opposite side of a triangle.
What is half?
The Midpoint Formula
What is
(x2+x1/ 2 , y2+y1/2)
If a point lies on a perpendicular bisector of a segment, then it is _______ from the endpoints of a segment.
What is equidistant?
If a point lies on the angle bisector of an angle, then the point is ________ from the sides of the angle.
What is equidistant?
Side "c" of a right triangle is called ________.
What is a hypotenuse?
If a midsegment joins the two sides of a triangle, the segment is ______ to the third/opposite side.
What is parallel?
L is the midpoint of JP. If JL=2x+2 and LP=4x-8, find x.
What is x=5?
Find the value of x when one side of a triangle is 7x-22 and the other congruent side to it is 4x+5.
Point B is on an angle bisector for angle CAT. Which two points are equidistant from point B on the angle?
What are points C & T?
The Pythagorean Theorem formula.
What is a2 + b2 = c2?
GH is a midsegment of triangle JLP. If side JP is the side parallel to midsegment GH and is 24 units long, how long is midsegment GH?
What is 12 units?
L is the midpoint of JP. If JL=2x+2 and LP=4x-8, find JL.
Triangle JKL has a perpendicular bisector cutting through it making two right triangles. Each hypotenuse of the triangles JK= 6x-26 and KL= 3x+34. Find the value of x.
What is x=20?
Point D is on an angle bisector for angle CAB.
If the distance from D to C is 4x+30 and the distance from D to B is 9x-5, what is the value of x?
What is x=7?
What is c=20?
Find the value of x when a triangle's midsegment is 7x and the side that runs parallel to it is 17x-18.
What is x=6?
L is the midpoint of JP. If JL=2x+2 and LP=4x-8, find JP.
Segment AB is the bottom side of a triangle. Point D lies on the perpendicular bisector of AB and also is the midpoint of AB. If AD=5x-11 and DB =3x+17, what is the measure of DB?
Point T is on an angle bisector for angle PAR.
It is given that angle PAT is 8x-32 and angle TAR is 3x+3. What is the measure of angle PAR?
What is 48 degrees?
A leg and a hypotenuse of a triangle are given. When the leg is 25 and hypotenuse is 30, what is the length of the other leg rounded to the nearest TENTH?
What is 16.6?