Coordinate Geometry
Basics
Triangles
Circles
Misc.
100
This point would be the image of the point (-7,3) after being rotated 90 degrees counterclockwise about the origin.
(-3, -7)
100
Find m∠ABC if m∠ABC = 3x + 6 and m∠EBD = 5x – 9.
28.5
100
Find the hypotenuse of a right triangle with legs that measure 7 and 24.
25
100
Find the center of the circle whose equation is (x-12) + (y-7) = 121.
(12,7)
100
A square pyramid has a height that is 6 centimeters long and a base with sides that are each 7 centimeters long. Find the volume of the pyramid.
98 cm3
200
This point would be the midpoint between the points (8, 6) and (-2, 1).
(3, 3.5)
200
This is the classifications for angles 2 and 7.
alternate exterior
200
A 20-foot flagpole cast a 15-foot shadow. At the same time, the building next to it cast an 85-foot shadow. Find the height of the building.
113.3 feet
200
ΔABC is inscribed inside the circle. What is m∠ABC?
80
200
In this polygon, line AE is a line of symmetry. If FD =12 , GF = 6 , BC = 3 , and HA = 2, what is the perimeter of the polygon?
34
300
This would be the distance between the points (-2, 8) and (9, 12).
11.7
300
Find the sum of the measures of the interior angles of a convex 40-gon.
6840
300
Find the angle of elevation of the sun if a building 80 feet tall casts a shadow 100 feet long. Round to the nearest degree.
38.7 degrees
300
The diameter of a circular swimming pool is 18 feet. Find the circumference to the nearest hundredth.
56.5 ft
300
Given the following segment, solve for x.
4
400
This would be the endpoint of a segment with one endpoint at (-3, 5) and a midpoint at (-6, 4).
(-9, 3)
400
If m∠2 = 4x + 8 and m∠6 = 8x – 6, find the value of x so that ℓ ║ m.
3.5
400
In ΔABC, m<B = 105° and m<C = 45°. How would you classify the triangle by angles and sides?
obtuse scalene
400
Find the equation of ⨀P.
x2 + (y-3)2 = 4
400
Find the missing measurement rounded to the nearest tenth.
2
500
This is the slope of a line that is perpendicular to a line containing the points (4, 7) and (9, 11)
-5/4
500
Would the following side lengths allow you to form a triangle? Explain why
4, 5, and 9
No because the sum of 4 and 5 is not greater than 9.
500
If a 25-foot ladder makes a 55° angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth.
20.5 ft.
500
If a carousel with 20 evenly spaced horses has a diameter of 18 feet, what would the length between each horse be?
2.82
500
Find x to the nearest tenth.
5.9