Fundamentals of Geometry
A straight path of points that starts at one fixed location and extends forever in a single direction
Ray
Maya is flying a kite at the park on a windy afternoon. Suddenly, the kite gets caught at the very top of a tall tree. Maya knows she let out exactly 50 feet of string, and the string is pulled tight in a straight line. If she is standing 30 feet away from the base of the tree, how tall is the tree?
40 feet tall
what is the radius of a circle with a surface area of 113.1
3
Where is the center of the circle using this equation
(x-2)^2 +(y-3)^2 =25
(2,3)
A triangle that contains one perfect 90 degree angle
Right Triangle
a straight-one dimensional path of points
Line
A construction worker is building a wooden wheelchair ramp for the entrance of a local library. The top of the ramp needs to reach a doorway that sits exactly 3 feet above the ground. To keep the ramp safe and gradual, the base of the ramp starts on the sidewalk exactly 4 feet away from the wall. How long does the wooden surface of the ramp need to be?
5 ft long
find the volume of the cube using the equation
4*4*4
64
Where is the center of the circle using the equation
(x+1)^2 +(y-4)^2 =100
(-1,4)
A triangle with at least two sides of equal length
Isosceles Triangle
a precise, exact location in space
Point
A painter needs to reach a second-story window to paint the frame. She leans a 13-foot ladder against the side of the house. To make sure it doesn't slip, she places the feet of the ladder exactly 5 feet away from the base of the wall.How high up the wall does the top of the ladder reach?
12 ft
find the surface area of the cylinder using the equation
2pi3^2 +2pi3*5
SA=150.80
what is the radius of the circle using this equation
(x-3)^2 + (y+1)^2 =169
R=13
A triangle where all three sides are exactly equal in length
Equilateral Triangle
The exact center point of a line segment
Midpoint
A local city park is shaped like a perfect rectangle. The park measures 6 blocks wide and 8 blocks long. Instead of walking along the outside sidewalks to get from one corner to the exact opposite corner, Tom decides to cut diagonally straight across the grass. How many blocks shorter is Tom's diagonal walk compared to walking along the outside sidewalks?
4 blocks shorter
find the base of the triangular pyramid using the equation
1/2 18*10 + B
B=15.6
what is the interior angle sum of a 33-gon
5580
A triangle where all three sides have completely different lengths
Scalene Triangles
combinations of two angles that feature unique relationships based on their measurements
Angle pairs
A harbor patrol boat is stationed between two tall observation lighthouses that sit on opposite sides of a straight narrow channel.Lighthouse A is 60 feet tall Lighthouse B is 80 feet tall.
The boat sits directly on the water line between them. A radar cable runs tightly from the top of Lighthouse A to the boat, measuring exactly 100 feet. A second radar cable runs tightly from the top of Lighthouse B to the boat, measuring exactly 170 feet
230 feet
find the height of the cone using the equation
1/3 pi3^2 h=94.25
h=10
what is the measure of each interior angle of a 15-gon
156
A triangle with an interior angle greater that 90 degrees
Obtuse Triangle