Geometry Basics
Angle Relationships
Pythagorean Theorem
Midpoint and Segments
Distance
100
Name a shape that has zero, one, two, and three dimensions.
zero: point one: line two: plane, square, etc three: prism, cube, etc
100
If ∠CBD and ∠ABC are supplementary angles and ∠CBD is equal to 126° what is ∠ABC’s measurement?
54 degrees
100
A right triangle has a leg that is 3 ft and leg that is 4 feet. WHat is the measure of the hypotenuse?
5 ft
100
Find the midpoint of the line segment lying between the points (-4, 5) and (6, 2)
(1, 7/2)
100
Find the distance between the points (3, -5) and (1, -3)
2*sqrt(2)
200
Draw a ray, segment, and line
see board
200
Angle ADB = 30° is complementary to angle EGF. What is the measure of angle EGF?
60 degrees
200
Simplify the square root of 48.
4*sqrt(3)
200
Find the midpoint between the points (-1, 2) and (7, -3)
(3, -1/2)
200
Find the distance between the points (8, -3) and (5, -6)
3*sqrt(2)
300
State the difference between a ray, line, and segment
ray: one directional, one endpoint line: two directional segment: no directions, has endpoints
300
∠A and ∠B are complementary angles. Find the measure of each angle if: m∠A= (3x +4) m∠B= (x -2)
m∠A=70 degrees m∠B=20 degrees
300
If a right triangle has a hypotenuse of 6 and a leg that measures 2, what us the length if the other leg?
2*sqrt(2)
300
Find the midpoint between the points (7, 2) and (5, -2)
(6, 0)
300
Find the distance between the points (0, 0) and (4, 2).
2√ 5
400
What does complimentary mean? What does supplementary mean?
Adds to 90 degrees; adds to 180 degrees
400
Two lines intersect. ∠1 and ∠2 are vertical angles. If m∠1 = (7x-35) and m∠2 = (3x + 5), what is the measure of ∠1 and ∠2?
m∠1=m∠2=35 degrees
400
What is the length of leg b of a right triangle, if hypotenuse c = 25 cm, and leg a = 15 cm?
20 cm
400
The midpoint of JB is M(3, -4). One endpoint is J(-3, -1). Find the coordinate of the other endpoint.
(9, -7)
400
Find the distance between point R (2, 6) and point S (-4, -8).
2√ 58
500
Angle HGF is cut into two parts by a ray GE. If HGF measures (16x + 4) degrees, angle EGF measures 110 degrees, and angle HGE measures 3x + 11 degrees, what is the value of x?
x = 9
500
∠A and ∠B are linear pairs. m∠A= (7x-3) and m∠B=(12x-7). What is the value of x?
x=10
500
Mr. Stone uses a ladder to clean the gutters of his house. The base of the ladder is placed 9 feet from the house. His house is 12 feet high. How long is the ladder?
15 ft
500
Find the coordinates of the other endpoint “B” of a segment with endpoint “A” (6, 9) and midpoint “M” (5, 3).
(4, -3)
500
Find the distance between point A (-7, -3) and point B (5, -4).
√ 145
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