If two lines intersect, how many angles are created?
4 angles
100
What are complementary angles?
They are a pair of angles whose measures add up to 90 degrees.
100
What are supplementary angles?
Supplementary angles are a pair of angles whose measures add up to 180 degrees.
100
What is the area of a triangle?
A = 1/2 b h
200
What is the distance between the points A (3,1) and B (6,5)?
5 units
200
When two lines intersect, what is special about the angles that are next to each other (the adjacent angles)?
They make a linear pair.
Other accepatble answer: They are supplementary.
200
Angle A measures 36 degrees. What is the measure of its complement angle B?
The measure of angle B is 54 degrees.
200
Angle P is 83 degrees. What is the measure of its supplement angle Q?
The measure of angle Q is 97 degrees.
200
How do you find the perimeter of something?
Add up all the side lengths.
300
What is the distance between the points C(3, 6) and D(2, 9)?
sqrt (10) units or approximately 3.16 units
300
When two lines intersect, what are the angles across from each other called?
(The sides of the angles form opposite rays.)
vertical angles
300
Angle K measures 10 degrees. Angle L measures 20 degrees. Angle M measures 30 degrees. Angle N measures 40 degrees. Angle O measures 50 degrees. Angle P measures 60 degrees.
Which angles are complementary?
Angles M and P are complementary. Angles N and O are complementary.
300
Angle Z is 30 degrees. Angle Y is 60 degrees. Angle X is 90 degrees. Angle W is 120 degrees. Which angles are supplementary?
Angle W and angle Y are supplementary.
300
There is a triangle ABC. A( -1, 5), B(7, 5), C(3, 8).
What is the area of the triangle?
12 square units.
400
E( -1, 5), F( 3, 2), G (4, -4), H ( -1, 8)
Which one is longer, line segment EF or line segment GH?
By how much?
Line segment GH is longer by 8 units.
400
At what point do the lines y=4x+5 and y=2x-7 intersect?
( -6, -19)
400
Angles A and B are complementary. What are the measures of the angles A and B if the measure of angle A is 4 times bigger than the measure of angle B?
The measure of angle A is 72 degrees and the measure of angle B is 18 degrees.
400
Angles J and K are supplementary. The measure of angle J is a fourth the measure of angle K.
What are the measures of angles J and K?
The measure of angle J is 36 degrees, and the measure of angle K is 144 degrees.
400
There is a triangle ABC. A( -1, 5), B(7, 5), C(3, 8).
What is the perimeter?
18 units
500
W(3, -7) X( -2, 6) Y( -3, -4) Z( 8, 2)
Which is longer, line segment WX or line segment YZ?
By how much?
Line segment WX is longer by approximately 1.4 units.
sqrt(194) - sqrt(157)
500
At what point does the line AB intersect the line CD if you know that the equation of the line AB is y=2x+2.5 and that the line CD is perpendicular to line AB and C( -2, 1).
(-1, 0.5)
500
Angles C and D are complementary. If the measure of angle C is 5x+15 degrees and the measure of angle D is 4x+30, what are the measures of C and D?
The measure of angle C is 40 degrees. The measure of angle D is 50 degrees.
500
Angles G and H are supplementary. The measure of angle G is 7x-13. The measure of angle H is 3x-7.
What are the measures of G and H?
The measure of angle G is 127 degrees. The measure of angle H is 53 degrees.
500
Find the area of pentagon ABCDE. A(0,0) B(4,0) C(4,5) D(2,7) E(0,5).