What is the relationship of the angles?
80 and 100 degrees
Supplementary
Translation, Reflection, and Rotation.
If segment AB is 8 inches and dilated by a scale factor of 1.5 from it's midpoint, what is the length of A'B'?
A'B' = 12 inches
(8 x 1.5 = 12)
What Netflix show takes place in Hawkins, Indiana?
Stranger Things
Find m<B.
m<B=25 degrees!
(180 - 155 = 25)
∠2 ≅ ∠4
Vertical Angles are congruent
Which TWO Rigid Motions will bring ABC on to A'B'C' and then on to A"B"C"?
A reflection over the y-axis and then a Translation 3 units left and 5 units down.
Line segment AB= 5 inches. Line segment A'B' = 11.5 inches. What is the scale factor of this dilation?
The scale factor is 2.3
11.5/5 = 2.3
(Image/Pre-image)
Who was the first woman to fly solo across the Atlantic Ocean?
Amelia Earhart
Find d and e.
both angles = 65 degrees.
d and e are the BASE ANGLES of the Isosceles Triangle, which are always congruent... 180 - 50 = 130 and 130/2 = 65
Name all of the Triangle Congruence Theorems
SSS, SAS, ASA, AAS, (and HL)
Describe a Rigid Motion that could be used to make a line parallel to the blue line.
A Translation in any direction.
Are the two triangles similar? Why or why not?
Yes using AA,
(Angle R = 50, Angle Y=70)
Which artist made history as the youngest winner of the Grammy‘s four main categories in 2020?
Billie Eilish
OC bisects ∠AOB. If m∠AOC=(3x+7)º and
m∠COB=(x+35)º. Find m∠AOC.
49º
If <1 = <2
and <2 = <3
Then <1 = <3
Substitution Property
What Quadrant will Point A land in after a clockwise rotation of 90 degrees and then a reflection over the y-axis.
Quadrant I
The following triangles are SIMILAR. Find BC.
BC = 9
What is the diameter of a basketball hoop?
18 inches
Find x AND Find the measure of each angle.
x=7
Each angle measures 23 degrees.
Name all of the Similarity Theorems
AA, SAS, and SSS
What would be the coordinates of Point A after a rotation of 90 degrees counterclockwise about the origin?
A' (1,2)
(x,y)-> (-y, x)
The line y=2x-8 is dilated from the origin with a scale factor of 9. What is the equation of its image?
y = 2x -72
The center of dilation (0,0) is not on the line so we will end up with a parallel line. Multiply the y-intercept by the scale factor!
An average human takes how many breaths in a day?
23,000