Geometric Figures
Pythagorean Theorem
Midpoints
Deductive Reasoning
Algebraic Properties
100
Describe four or more NON-collinear points,
all on the same plane.
Coplanar
100
The formula of the Pythagorean Theorem
a^2+b^2=c^2
100
A=4 and B=12
Find the midpoint of \overline(AB)
8
100
Given: p rightarrow q and p
Conclude: q
Which law of deduction is this
Law of Detachment
100
Name this algebraic property:
If a = b,
then a - c = b - c
Subtraction property
200
Name two intersecting lines from the diagram.
overline(ST) and overline(RS) and overline(RU)
200
a=3 cm and b=4 cm
Find c
a^2+b^2=c^2
5 cm
200
C=-4 and D=6
Find the midpoint of \overline(CD)
1
200
Given: p rightarrow q and p
p rightarrow q : If an animal has fur, then it's a mammal.
p : Dogs have fur.
What can you conclude:
Dogs are mammals.
200
Name this algebraic property:
If a = b and b = c,
then a = c
Transitive property
300
Name two vertical angles from the diagram.
angleTQU and angleRQS or angleTQR and angleUQS
300
a=8 cm and b=15 cm
Find c
a^2+b^2=c^2
17 cm
300
E=-11 and F=-5
Find the midpoint of \overline(EF)
-8
300
Given: If you eat yogurt, then you get calcium.
Lenny does NOT eat yogurt.
What can you conclude:
No conclusion possible.
300
Describe the symmetric property
If a=b then b=a
400
Name a pair of opposite rays from the diagram.
vec(QU) and vec(QR) or
vec(QT) and vec(QS)
400
b=8 cm and c=10 cm
Find a
a^2+b^2=c^2
6 cm
400
G=(8,5) and H=(16,11)
Find the midpoint of \overline(GH)
M = ((x_1+x_2)/2,(y_1+y_2)/2)
(12,8)
400
Given: p rightarrow q and q rightarrow r
Conclude: p rightarrow r
Which law of deduction is this
Law of Syllogism
400
Which property was used for this step?
15x=60
x=4
Division property
500
If overline(QS) cong overline(QR), then triangleQRS is _______________?
an Isosceles Triangle
500
a=10 cm and c=26 cm
Find b
a^2+b^2=c^2
24 cm
500
J=(-5,4) and K=(19,-6)
Find the midpoint of \overline(JK)
M = ((x_1+x_2)/2,(y_1+y_2)/2)
(7,-1)
500
Given: If you live in Los Angeles, the you live in California.
If you live in California, then you live on the West Coast.
Zaria lives in Los Angeles.
What can you conclude?
Zaria lives on the West Coast.
500
Which property was used for this step?
x=-2
y=5x+16
y=5(-2)+16
Substitution