Theorems & Symbols
Angles
Transformations
Midpoint & Distance
Surprise
100
The Theorem that states that if 2 sides of a triangle are congruent, then the angles opposite those sides are also congruent?
The Isosceles Triangle Theorem
100
Angles that are opposite and equal
Vertical Angles
100
The rule for reflecting over the line y = x.
(x,y) maps to (y, x)
100
What is the midpoint formula?
100
3 undefined terms?
points, lines, planes
200
It is the Theorem that states the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
The Pythagorean Theorem
200
ΔABC is an isosceles triangle. Line segment AB = Line segment AC. If angle B is 75 degrees, what is angle A?
30 degrees
200
The coordinate rule for translating a shape 3 units down and 2 units to the right
(x,y) maps to (x +2, y - 3)
200
What is the distance formula?
200
A rigid motion in which the orientation of the shape changes.
Reflection
300
Theorem which states that the sum of the measures of the angles of triangle = 180 degrees.
Angle Sum Theorem
300
Angles that are both adjacent and supplementary.
Linear Pairs
300
The coordinate rule for rotating a shape 270 degrees clockwise.
(x, y) maps to (-y, x)
300
Find Midpoint of (-4,4), (5,-1)
(0.5, 1.5)
300
Angles that have a sum of 90 degrees
Complementary Angles
400
Theorem which states the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Exterior Angle Theorem
400
The measure of angle PQR if PQ is perpendicular to SR.
90 degrees
400
The image of P (7, -3) after a rotation of 270 degrees about the origin.
(-3, -7)
400
Find distance of (-2,3) and (-7,7).
6.403...
400
The number of lines of symmetry of a parallelogram.
None
500
Any point on this line must be equidistant to the endpoints of the segment, according to this theorem?
The perpendicular bisector theorem
500
The measure of an interior angle of a nonagon.
140 degrees
500
Under a rotation of 270 degrees, Point P did not move because.......
Point P was on the center of Rotation
500
The endpoint of AB, if P (-3, -1) is the midpoint of AB, with A (7,4).
(-13, -6)
500
The order of rotational symmetry of a regular heptagon.
7