Angle Relationships
Logic Statements
Parallel Lines
Reasoning
Nth Term Rules
200
Complementary angles add up to 90o, forming this type of angle.
What is a right angle?
200
This sentence is the converse of the conditional statement "If it is a burrito, then it is Mexican food."
What is "If it is Mexican food, then it is a burrito?"
200
This is the word we use to describe a line that cuts through other lines.
What is a transversal?
200
This kind of reasoning is the process of using pictures, diagrams, or drawings to analyze information and help problem solve.
What is visual reasoning?
200
This is the next term in this sequence:
-3, 1, 5, 9, __?
What is 13?
400
Two adjacent, supplementary angles come together to form one of these.
What is a linear pair or straight line?
400
It's the term we use for something that proves a conjecture wrong.
What is a counterexample?
400
In the image below, ∠2 and ∠6 are congruent because they are this kind of angle pair.
What are corresponding angles?
400
This kind of reasoning is the logical process of using facts, definitions, and agreed upon truths to show a conclusion to be valid.
What is deductive reasoning?
400
A sequence with repeating terms like this:
-4, -4, -4, -4, -4, ...
is not increasing or decreasing but this secret third thing.
What is constant?
600
The angles ∠a and ∠b are congruent because of a conjecture that describes this angle relationship.
What are vertical angles?
600
Find a counterexample to the statement:
All sports are played with a round ball.
What is... many examples?
600
In the image below, ∠4 and ∠5 are congruent because they are this kind of angle pair.
What are alternate interior angles?
600
This is the rule for finding the nth term in the sequence of rectangular numbers.
What is n(n+1)?
600
This is the next term in this sequence:
-4, 8, -16, 32, -64, __?
What is 128?
800
In the following image, ∠xo has this measure.
What is 50o?
800
Find the inverse of this statement and determine if it is true:
If a student is a sophomore, then they are taking geometry.
If a student is not a sophomore, then they are not taking geometry.
False.
800
In the image below, ∠3 and ∠5 have this kind of angle relationship and are supplementary.
What are consecutive interior angles?
800
Draw the next figure in the sequence.
800
This is the 100th term in the triangular numbers sequence.
What is 5050?
1000
DAILY DOUBLE: As a team, find as many of the missing angle measures as you can.
∠a = 20o
∠b = 70o
∠c = 20o
∠d = 70o
∠e = 110o
1000
DAILY DOUBLE: Find the converse, inverse, and contrapositive of the following conditional statement:
"If I showered, then I am clean."
Converse: If I am clean, then I showered.
Inverse: If I did not shower, then I am not clean.
Contrapositive: If I am not clean, then I did not shower.
1000
DAILY DOUBLE: Classify the angle pairs.
(NOTE: Not asking if they're congruent, tell me their relationship, e.g. corresponding angles)
1. Alternate exterior angles
2. Alternate interior angles
3. Consecutive interior angles
4. Vertical angles
5. Corresponding angles
1000
Sketch the image using the four steps below.
Step 1: Draw ∠ABC.
Step 2: Place point D on ray BC.
Step 3: Place point E on ray BA.
Step 4: Form ∆BDE.
What is...?
1000
Find the rule and 19th term of this sequence.
Rule: 3n + 6
19th term: 3(19) + 6 = 63