Show:
Definitions
Polygons
Conjectures and Conditional Statements
Unions and Intersections of Figures
Converses
100
True or False: A good definition includes no more information than is necessary.
What is true.
100
How many segments is a pentagon made up of?
What is five segments.
100
What is a conjecture?
What is an educated guess or opinion.
100
Identify which statement represents the intersection of two figures. Statement l: ❍A ∪ ❍B Statement ll: ❍A ∩ ❍B
What is Statement ll.
100
True or False: Not every conditional statement has a converse.
What is false.
200
What is the definition of midpoint?
What is the point of the segment equidistant from the segment's endpoints.
200
What is the fewest amount of segments a polygon can have?
What is three segments.
200
Melissa makes the conjecture that all monkeys have tails. How would you prove her conjecture false?
What is find a monkey without a tail.
200
Draw a picture of the following situation: Square ABCD and Square DEFG where they intersect at one point.
See Form D for answer.
200
Explain how you can find the converse of a conditional
What is by switching its antecedent and its consequent.
300
What is the name of a line made between the center point of a circle and the point on the outside of the circle?
What is the radius.
300
What are the three classifications of triangles?
What are equilateral, isosceles, and scalene.
300
What is needed to prove a conjecture false?
What is a counterexample
300
(See Form E) Describe lines AB ∪ BC ∪ CA
What is ∆ABC.
300
Write the converse of the following statement: 'If you have a poodle, then you have a dog.'
What is 'If you have a dog, then you have a poodle.'
400
How is the following biconditional read: P ⇔ Q ?
What is P if and only if Q.
400
Is this figure showing the interior or exterior of the shape? (see Form B)
What is the exterior of the shape.
400
Write this conjecture as a conditional: Whatever line you are waiting in will move slower than the other lines.
What is 'If you are waiting in a line, then your line will move slower than the other lines.'
400
Name the pentagon PENTA as the union of five segments. (See Form F)
What is lines PE ∪ EN ∪ NT ∪ TA ∪ AP .
400
Write the converse of the following statement: 'If you live in Springfield, then you live in Illinois.' Is the converse true or false? If false, provide a counterexample.
What is 'If you live in Illinois, then you live in Springfield.' The converse is false. A counterexample is if you live in Chicago (or other city in Illinois) or another Springfield that is not located in Illinois.
500
Which figure is convex? Which figure is non-convex? (see Form A)
What is figure KATIE is convex. What is figure MADDI is non-convex.
500
Draw a picture of the hierarchy of the relationships between the following terms: Isosceles, Polygon, Figure, Equilateral, Triangle, and Scalene.
See Form C for answer.
500
Identify the consequent and antecedent of the following conditional statement: If you live in Windham, then you live in Maine.
What is 'If you live in Windham' is the antecedent. What is 'then you live in Maine' is the consequent.
500
Give an example of two polygonal regions whose union is non-convex. (Draw)
See Form G for example of answer. (answers may vary)
500
(See Form H) Write in words b⇒d. Is b⇒d true according to the diagram? Write in words the converse of b⇒d. Is the converse true according to the diagram?
What is 'If you are eating brownies, then you are eating dessert.' This is true according to the diagram. The converse of this statement is 'If you are eating dessert, then you are eating brownies.' This statement is false.