Basics of Geometry
Inductive vs. Deductive
Angle & Segment Addition
Distance & Midpoint
Area & Perimeter on a Coordinate Plane
100
What name a point in this picture.
M, J, K, or L
100
Use inductive reasoning to determine the next two terms in the sequence.
1, 3, 7, 15, 31, …
63, 127
100
Find SQ if R is between Q and S and
RS = 33.5 and RQ = 80.
SQ= 113.5
100
What is the definition of midpoint?
The middle point in a line segment.
100
How do you find the perimeter of an figure on the coordinate plane?
Add the distances of the sides of the figure all together.
200
Name a ray in this picture.
KJ, KL, LJ, or JL
200
What is the difference betweeen inductive and deductive reasoning?
Inductive is based on a pattern that has previously happened while deductive is based on facts and a proof that will happen every time.
200
3x +121 = 16x+4
117 = 13x
9 = x
200
Find the distance between these two points: (6, 4), (−5, −1).
d = √146
200
How do you find the area of an figure on the coordinate plane?
You calculate the space within the figure by using a formula.
300
Name a line in this picture.
a, JK, KL, LK, KJ, JL, LJ
300
For the first four weeks of school, the cafeteria served either spaghetti or lasagna on Thursday. Based on this evidence, Liam states that the cafeteria will serve Italian food next Thursday. Is Liam’s statement a conjecture or a theorem?
Conjecture - based on a pattern he saw
300
If Point G is between A and B, where is G if the distance between A and G is 1/5 of AB?
G would be at -5.
300
Find the midpoint between the following points (6, 4), (−5, −1).
(½, 1.5)
300
Simplify the radical:
√180
6√5
400
Name a pair of complementary angles.
<LCN & <NCP
400
Consider these true statements.
All amphibians are cold blooded.
All frogs are amphibians.
Chris has a pet frog.
Based on deductive reasoning, which of the following statements is not necessarily true? (Choose 1)
Chris has a cold-blooded pet.
Chris has a pet amphibian.
All frogs are cold blooded.
All amphibians are frogs.
4
400
If U is between T and B, find the value of x and the lengths of the segments.
TU = 2x, UB = 3x + 1, TB = 21
x = 4
TU = 8
UB = 13
400
Find the other endpoint if one endpoint is (3, 8) and the midpoint is (6, 9).
The other endpoint is (9, 10).
400
Find the perimeter of this figure.
P = 3 + 6 + √45
P = 9 + 3√5
500
Name a pair of supplementary angles.
<TCN & <NCP
<LCN & <NCR
<TCL & <LCP
<LCP & <PCR
<TCR & <PCR
<TCR & <LCT
500
The density of gold is 19.3 grams per cubic centimeter. Rachel determines that the density of a coin is 18.7 grams per cubic centimeter. Based on this evidence, she concludes that the coin is not gold or at least not entirely gold. Is this an example of inductive or deductive reasoning?
Deductive - based on facts and logic.
500
x = 3
m<TRS = 42
m<QRS = 84
500
Find the other endpoint if one endpoint is (-5, 6) and the midpoint is (2, 1).
The other endpoint is (9,4).
500
Find the area of this figure.
A = bh
A = (3)(7)
A = 21 units