Isosceles triangles have ____________ congruent sides.
Possible answers:
2 or more
2 or 3
more than 2 but less than 3 etc.
Equilateral triangles have
1.
2.
all sides congruent
all angles congruent
All perpendicular bisectors form these types of angles
Right angles
The line that splits between two parallel lines to form alternate interior angles
Transversal
The congruent sides of an isosceles triangle are called_______________ and the side across from the vertex angle is called the _________________.
legs;base
What is the measure of one exterior angle of an equilateral triangle?
120 degrees
Line segment YB is a perpendicular bisector. XB = 2x and BZ = 4x-100, find XZ.
XZ = 200
The theorem that says that the interior angles of a triangle equal 180 degrees
Triangle Sum Theorem
State the isosceles triangle theorem.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Find AB:
AB = 20
58
A triangle with no congruent sides or angles whose angles are all less than ninety degrees is a...(give the whole
Scalene acute triangle
Find the value of x+41:
x=70
What is the value of x + 1001
1034
An angle bisector bisects an angle that is represented by 4x - 21. What is the expression that represents the measure of the original angle?
8x - 42
What does the exterior angle theorem state?
If a triangle has an exterior angle, the exterior angle equals the sum of the two alternate interior angles
The measure of each base angle of an isosceles triangle is 7 times the measure of the vertex angle. Find the measure of the vertex angle.
12
The perimeter of an equilateral triangle is 120 meters. Find y if each side of the triangle has measure
1/4y+20
160 meters
TA is a perpendicular bisector. Angle RTA has measure x+40. Angle ART has measure 4x+100. Find the value of
x^2
x^2 =100
Define theorem
A statement that has already been proven