Angles
What is the pair of angles called whose sum is 90 degrees?
Complementary angles
Define midpoint
The exact middle or center between two points.
Define a theorem
A theorem is a statement that has been proved or can be proven using mathematical reasoning.
What do we call two lines that are equal distances apart and never intersect?
What does the Greek word Geometry mean?
"To measure Earth"
Define angle
When two rays meet at a common vertex or endpoint.
What is the midpoint formula?
(xm, ym) = (x1 + x2)/2 , (y1 + y2)/2
Draw or describe the segment addition theorem/postulate.
The distance from one endpoint of a segment to the other is the sum of the distances from the middle point to either endpoint. i.e.: AB + BC = AC
What do we call the ray that splits an angle into two equal parts?
An angle bisector
In the equation y = mx + b, what letter represents the y-intercept?
The letter b
What are two opposite angles called that are formed by intersecting lines?
Vertical angles
What is the distance formula?
d = sq. root ( [(x2 - x1)^2] + [(y2 - y1)^2])
Complete the following circle theorem:
The angle at the center of a circle is __________ the inscribed angle at the circumference of the circle.
Twice
Define coordinates
The x and y values that a point is located at.
Solve for x:
5/2 x - 1 = 8 + 2x
x = 18
SEE BOARD FOR PICTURE:
a) What is the pair of angles 4 and 5 called?
b) What is the pair of angles 1 and 8 called?
a) Alternate interior angles
b) Alternate exterior angles
Find the midpoint between points A (2, 6) and B (8,-2).
(xm, ym) = (x1 + x2)/2 , (y1 + y2)/2
= (2+8)/2 , (6-2)/2 = (10/2 , 4/2)
= (5, 2)
Complete the following theorem:
The angle between the tangent of a circle and the radius is always ______________ degrees.
90 degrees
What do we call a series of points that extend in opposite directions without end?
Find the slope of line AC:
A (-1, 3)
C (-3, -2)
(-2 - 3) / (-3 - -1) = -5/-2
Slope = 5/2
If a straight line is split into 2 angles and one has a measure of 103 degrees, find the measure of the other angle.
180 - 103 = 77 degrees
Find the midpoint between 7 and - 2.
= (7 - -2)/2 = 9/2 = 4.5
NOW ADD: -2 + 4.5 = 2.5 is the midpoint
SEE THE BOARD:
Which triangle congruence theorem is shown in the picture?
Angle Angle Side: AAS
Draw or describe corresponding angles AND their relationship.
Corresponding angles are a pair of angles located in the same position at each intersection where a straight line (transversal) crosses two other lines. If the two lines are parallel, they are congruent.
A survey shows that 75% of people who visit the library check out at least 2 books. The survey also found that of those people, 35% visit the library every week. What percentage of people visit the library every week but check out fewer than 2 books?
100% - 75% = 25% do not check out 2 books
25% x 35% = 8.75%