Order of Operations
8 + 3 * 2
14
x+5=12
x = 7
The point A(3,4)A(3, 4)A(3,4) is transformed to A′(3,−4)A'(3, -4)A′(3,−4).
What type of transformation occurred?
reflection across x-axis
Angles ∠E\angle E∠E and ∠F\angle F∠F add up to 180∘180^\circ180∘.
What is the relationship between ∠E\angle E∠E and ∠F\angle F∠F?
Supplementary angles.
729−548 =
181
(5+2) * 4
28
4x=20
x = 5
The point B(−2,5)B(-2, 5)B(−2,5) is transformed to B′(−2,2)B'(-2, 2)B′(−2,2).
What type of transformation occurred?
translation down 3 - or - (x, y-3)
Angles ∠P\angle P∠P and ∠Q\angle Q∠Q form a straight line.
What is the relationship between ∠P\angle P∠P and ∠Q\angle Q∠Q?
Supplementary angles.
16 * 14
224
four squared * 3 + 17 - three to the fourth power
- 16
3x + 2 = 14
x = 4
The point C(1,−3)C(1, -3)C(1,−3) is transformed to C′(4,−3)C'(4, -3)C′(4,−3).
What type of transformation occurred?
translation right 3 -or- (x+3, y)
When two lines intersect, ∠X=45∘\angle X = 45^\circ∠X=45∘ and is opposite ∠Y\angle Y∠Y.
What is the relationship between ∠X\angle X∠X and ∠Y\angle Y∠Y?
Vertical angles (they are congruent).
625÷25
25
10−(6÷2)+3×2
14
2z/3 = 6
z = 9
The point D(2,6)D(2, 6)D(2,6) is transformed to D′(−2,−6)D'(-2, -6)D′(−2,−6).
What type of transformation occurred?
Rotation of 180∘ about the origin.
∠A and ∠B are complementary.
If ∠A=65∘ find ∠B
∠B=90∘−65∘=25∘.
(50−20)÷5 =
6
(15÷3)+[4×(2+1)]
23
5y + 7 - 8 = - 2y + 13
y = 2
The point E(1,2)E(1, 2)E(1,2) is transformed to E′(3,6)E'(3, 6)E′(3,6).
What type of transformation occurred?
Dilation with a scale factor of 3 centered at the origin.
∠C and ∠D are supplementary. If ∠C=110∘, find ∠D.
∠D=180∘−110∘=70∘.
___ ÷15 = 16
240