Circles
Find the circumference of a circle with a radius of 7.
43.96
Find the missing angle of a triangle with angles 45 degrees and 80 degrees.
55 degrees
In a right triangle, the opposite side is 3 and the hypotenuse is 5. Find sinθ.
3/5
Two supplementary angles measure 110 degrees and x degrees. Find x.
70 degrees
How many points determine a line?
2
A circle has a diameter of 18 cm. Find its area to the nearest tenth.
254.5 cm2
A right triangle has legs of 6 and 8. Find the hypotenuse.
10
Use the Pythagorean Theorem to find the missing side of a right triangle with legs 9 and 12.
15
Two vertical angles are labeled 3x+5 and 95 degrees. Find x.
30
Name the intersection of two planes.
A line
A circle has a circumference of 24π24\pi24π. What is the radius?
12
The sides of a triangle are 5, 12, and 13. Classify the triangle.
Right triangle
A ladder leans against a wall forming a 65 degree angle with the ground. The ladder is 10 feet long. How high up the wall does it reach?
9.1 feet
If corresponding angles formed by a transversal are congruent, what can you conclude about the lines?
The lines are parallel.
What is the midpoint of the segment with endpoints (2,6) and (8,10)?
(5,8)
Find the length of an arc with a central angle of 90 degrees in a circle with radius 8.
4pi
Find the area of a triangle with base 14 and height 9.
63
Find tanθ if the opposite side is 12 and the adjacent side is 5.
12/5
A transversal cuts two parallel lines. One alternate interior angle measures 125 degrees. Find the measure of the alternate interior angle.
125 degrees
Find the distance between the points (1,2) and (7,10).
10
A sector of a circle has a radius of 12 and a central angle of 150 degrees. Find the area of the sector.
60pi
Two sides of a triangle measure 10 and 15 with an included angle of 30 degrees. Find the area of the triangle.
37.5
A building casts a 40-foot shadow. If the angle of elevation from the tip of the shadow to the top of the building is 52 degrees, find the height of the building to the nearest tenth.
51.2 feet
Same-side interior angles are labeled 4x+10 and 2x+50. Find x.
20
Determine whether the points (1,2), (3,6), and (5,10) are collinear. Explain how you know.
Yes, they are collinear because the slope between each pair of points is the same.