Call me a (Vo)cab
A physical location in space
Point
What are the 5 basic angle types?
Acute, Right, Obtuse, Straight, and Reflex
What's the difference between a line and line segment?
Line goes infinitely in two separate directions
Line segment has two endpoints
<A and <B are supplementary. Solve for x
<A = 25 degrees and <B = 2x+45
x = 55
Without the beard Mr. Ryan could be mistaken for a student at Cardinal Spellman, but how old is he?
25
The union of two distinct rays with a common vertex.
Angle
What's the difference between Complementary and Supplementary Angles?
Complementary adds to 90 degrees
Supplementary adds to 180 degrees
What is a ray?
A line with a starting point that continues infinitely in one direction
If <DAY is a right angle and m<DAY = 1/2x+34, then what is the value of x
x = 122
Mr. Ryan is a huge NY sports fan, can you name the 3 NY sports teams he supports?
Rangers, Yankees, and Giants
Any two angles that share a common vertex and whose rays point in opposite directions.
Vertical Angles
What does an angle bisector do?
Line that cuts an angle into two equal parts
Through any two distinct points exists how many lines?
One
In a supplementary angle pair, the measure of the larger angle is 12 degrees more than twice the measure of the smaller angle.
Find the measure of each angle
56 degrees and 124 degrees
Mr. Ryan is a huge fan of rock and metal music, but which band is his favorite?
Metallica
Any line, segment, or ray that passes through the midpoint of a given segment
Segment Bisector
Two angles are called adjacent if they what:
Don't overlap or right next to each other
Have a common ray
What does a midpoint do?
Point that splits a line into two equal parts
Point E is a point of line DF, which is 60 cm
DE = 3x-5 and EF = 6x+2
Find the measure of DE and EF
DE = 16
EF = 44
Mr. Ryan got his bachelors and masters degree from what university?
Hint: NY School
St. John's University
What does collinear mean?
Three or more points on the same straight line
What makes two angles a linear pair?
Angles are adjacent and supplementary
Non-common rays form a straight line
What do perpendicular lines do?
Intersect at one point and form right angles
<R and <S are vertical angles
<R = 10x-26 <S = 8(x+1)
Find the measure of each angle
Both are 144 degrees
The most important day of the year is Mr. Ryan's birthday, but when is it?
November 24th