Formulas
bh
What is the area formula for a parallelogram
The length between two opposite angles
What is a diagonal
opposite leg/hypotenuse
What is sine
Transformation that changes the size of a shape but not the shape itself
What is dilation
A triangle has a height of 5 and a base of 6, write the area
What is 15
(bh)/2
What is the area formula for triangle
All sides are equal, all angles are equal, and both diagonals are equal
What is a square
opposite leg/adjacent leg
What is tangent
Describes how much the figure is enlarged or reduced during a dilation
What is a scale factor
A trapezoid has one base of 4 and another base of 6, the height of the trapezoid is 5. Write the area of the trapezoid
What is 25
(b1+b2)h/2
What is the area formula for trapezoid
All sides are equal, diagonals bisect angles, diagonals are perpendicular
What is a rhombus
Legs are congruent and the hypotenuse is (sqrt2)*legs
What is the 45-45-90 triangle
If a line parallel to a side of a triangle intersects the other two sides, then it divides them equally
What is the Triangle Proportionality Theorem
Triangle ABC is divided by line DE. AE is 10, EC is 45, DB is 36, line BC and line DE are parallel.
What is 8
(d1*d2)/2
What is the area formula for Kite/Rhombus
Diagonals are perpendicular and one pair of opposite angles are congruent
What is a kite
A line segment through a vertex and perpendicular to a line containing the base
What is altitude
ABCD is an Isosceles Trapezoid, AB and CD are both bases. Angle BCD is 100 degrees, find angle BAD.
What is 80 degrees
(aP)/2
What is the area formula for a Regular Polygon
Each pair of base angles are congruent, base angles are parallel, legs are equal and diagonals are equal.
What is an isosceles trapezoid
Each length divided by its opposite angle is equal, (sinA/b) = (sinB/b).
What is the Law of Sines
If the similarity ratio of two similar figures is a/b, then the ratio of their perimeters is a/b, and the ratio of their areas is (a/b)^2
What is the Proportional Perimeters and Areas Theorem
A woman is standing 12 feet away from a sculpture. The angle of elevation from her eye to the top of the sculpture is 30 degrees, and the angle of depression to its base is 22 degrees. Write the height of the sculpture to the nearest foot.
What is 12 feet