Formulas & Theorems
Vocabulary
Quarter 1
Quarter 2
Quarter 3
Quarter 4
100
What is used to find the unknown side length of a right triangle given the other side lengths.
What is the Pythagorean Theorem?
100
Triangle with two equal sides and two equal base angles
What is Isosceles?
100
Two legs of a right triangle are 9 and 11. What is the length of the third side?
sqrt(202)
100
Find the sum of the measures of the interior angles of a 15-gon.
180(n - 2)
180(15-2)
180(13)
2340
100
If y = 3x − 4 was dilated about the origin by a factor of 2, what is the equation of the new line?
y = 3x - 8
100
What shape is the cross section of a hexagonal prism that is perpendicular to the base?
Rectangle
200
Arc Length Formula
x/360*2pir
200
two non-adjacent angles formed by the intersection of two lines
What are Vertical Angles?
200
The equation of a line that is perpendicular to the line whose equation is and passes through (-6, 1).
2y=3x-10
y=-2/3x-3
200
How many lines of symmetry does the hexagon have?
6
200
15
200
If a square pyramid’s base has side lengths of 20 m, and the height of the square pyramid is 13 m, and a slant height of 16.4m, What is the volume to the nearest tenth?
1733.3 m3
300
Distance Formula
d=sqrt((x_2-x_1)^2+(y_2-y_1)^2
300
A 2-D surface or shape that is or would be exposed by making a straight cut through a 3-D figure at one or multiple points.
What is a cross section?
300
Tell whether you can use the given information to determine whether triangle JRM is congruent to triangle XYZ and by what reason.
JM = XZ, <M = <Z, <R = <Y
Yes, by AAS
300
Describe the transformation M: (x, y) --> (–y, x).
Rotation 90 degrees counterclockwise
300
In right triangle ABC, with right angle at C, if sin A = 3x + 19 and cos B = 5x + 3, please solve for x.
8
300
A storage container is modeled by a cylinder with a hemisphere sitting on top of it. If the cylinder AND hemisphere is 13 m tall and has a diameter of 8 m and the hemisphere has a diameter of 8m, what is the volume of the storage container to the nearest tenth of a m?
586.5 m3
400
Exterior Angle Theorem
The sum of the two non-adjacent interior angles is equal to the exterior angle.
400
The intersection of the three medians of triangle
What is a centroid?
400
Two parallel lines are cut by a transversal. Two interior angles on the same side of the transversal are represented by 2x and 30 + x. What is the measure of the smaller angle?
80
400
The shortest method to use to prove a shape is a rhombus.
Calculate slope 2 times on the diagonals to determine that they are perpendicular.
400
A 34-ft ladder is leaning against a building and the base of the ladder is 12 ft from the building. What angle does the ladder makes with the building? Round to the nearest degree.
21
400
3. Complete the square to determine the equation of the circle: x2 - 6x + y2 - 8y - 11 = 0
State the center and radius.
(x-3)^2+(y-4)^2=36, (3,4), r=6
500
Partitioning a Line Segment
x_1+a/(a+b)(x_2-x_1) and y_1+a/(a+b)(y_2-y_1)
500
Two figures of the same shape, congruent corresponding angles, and proportional corresponding sides.
What is similar?
500
If CS = 18, find the lengths of DC and DS.
DC = 9
DS = 27
500
Describe a sequence of two transformations that maps triangle ABC onto triangle DEF.
reflection over x-axis
translate 6 units to the right
500
A school building casts a shadow that is 26 feet long. At the same time a student nearby, who is 71 inches tall, casts a shadow that is 48 inches long. How tall is the building, to the nearest foot?
38 ft
500
What is the degree measure of angle CEA?
61