Lines, Angles, and Transformations
What type of angle pair adds up to 180 degrees?
Supplementary angles
What is the sum of the interior angles of every triangle?
180 degrees
What quadrilateral has two pairs of parallel sides?
A parallelogram
What does SOH stand for in SOH-CAH-TOA?
Sine = Opposite over Hypotenuse
What is the general formula for the volume of a prism or cylinder?
V=Bh
Two angles are vertical angles. One angle measures 67 degrees. What is the measure of the other angle?
67 degrees
What triangle congruence theorem uses two sides and the included angle?
SAS
What quadrilateral has four congruent sides and four right angles?
A square
In a right triangle, the opposite side is 6 and the adjacent side is 8. Which trig ratio would you use with those two sides?
Tangent
What is the formula for the volume of a cone or pyramid?
V=1/3Bh
Reflect the point (4,−7) across the x-axis. What is the image?
(4,7)
What triangle congruence theorem only works for right triangles and uses a hypotenuse and a leg?
HL
What is the slope of the line through the points (2,3) and (6,11)?
A right triangle has legs of 9 and 12. What is the hypotenuse?
15
A rectangular prism has length 6, width 4, and height 10. What is its volume?
240
Rotate the point (−3,5) 90 degrees clockwise about the origin. What is the image?
(5,3)
Two triangles have two pairs of congruent angles and one non-included congruent side. Which congruence theorem proves the triangles congruent?
AAS
A quadrilateral has diagonals that bisect each other. What type of quadrilateral can you conclude it is?
A parallelogram
Two similar triangles have corresponding sides of 5 and 15. What is the scale factor from the smaller triangle to the larger triangle?
3
A cylinder has a radius of 4 inches and a height of 10 inches. What is the volume of the cylinder? Leave your answer in terms of pi
V=160pi
A triangle has vertices A(1,2), B(4,2), and C(3,6). If it is translated by the vector ⟨−2,5⟩ what are the coordinates of A′, B′, and C′?
A′(−1,7), B′(2,7), C′(1,11)
In a proof, you are given that M is the midpoint of AB. What statement can you conclude from the definition of midpoint?
AM~=MB
Find the distance between the points (−3,7) and (4,12).
D=sqrt74
In a right triangle, an angle is 35 degrees, and the hypotenuse is 20. Which equation would you use to find the side opposite the 35 degree angle?
sin(35)=x/20
A cone has a radius of 6 centimeters and a height of 9 centimeters. What is the volume of the cone? Leave your answer in terms of pi
V=108pi