Angles

Definitions, Theorems, Postulates

Rigid Motions

Dilations and Similarity

Just for Fun

100

What is the relationship of the angles?

80 and 100 degrees

Supplementary

100

__ ___ __

PQ + QR = PR

PQ + QR = PR

Segment Addition Postulate

100

Name the three Rigid Motions we learned about this year.

Translation, Reflection, and Rotation.

100

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)

100

What Netflix show takes place in Hawkins, Indiana?

Stranger Things

200

Find m<B.

m<B=25 degrees!

(180 - 155 = 25)

200

∠2 ≅ ∠4

Vertical Angles are congruent

200

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.

200

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)

200

Who was the first woman to fly solo across the Atlantic Ocean?

Amelia Earhart

300

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

300

Name all of the Triangle Congruence Theorems

SSS, SAS, ASA, AAS, (and HL)

300

Describe a Rigid Motion that could be used to make a line parallel to the blue line.

A Translation in any direction.

300

Are the two triangles similar? Why or why not?

Yes using AA,

(Angle R = 50, Angle Y=70)

300

Which artist made history as the youngest winner of the Grammy‘s four main categories in 2020?

Billie Eilish

400

OC bisects ∠AOB. If m∠AOC=(3x+7)º and

m∠COB=(x+35)º. Find m∠AOC.

49º

400

If <1 = <2

and <2 = <3

Then <1 = <3

Substitution Property

400

What Quadrant will Point A land in after a clockwise rotation of 90 degrees and then a reflection over the y-axis.

Quadrant I

400

The following triangles are SIMILAR. Find BC.

BC = 9

400

What is the diameter of a basketball hoop?

18 inches

500

Find x AND Find the measure of each angle.

x=7

Each angle measures 23 degrees.

500

Name all of the Similarity Theorems

AA, SAS, and SSS

500

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)

500

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!

500

An average human takes how many breaths in a day?

23,000