SF Geometry Unit 8 Proofs

What angle relationship can be used alone to prove two angles are congruent?

(a)  

Is the following statement Inductive, Deductive, or Abductive Reasoning?

Quadrilaterals have four sides therefore, a square is a quadrilateral.

• Inductive

• Abductive

• Deductive

I see fireflies in my backyard every summer so I will see fireflies in my backyard this summer.

This statement is an example of ​ (a)   reasoning.

• inductive
• deductive
• abductive

Match the following Statements to their Negation.

• Some squares are not rectangles

• Some parallelograms are squares

• All parallelograms are not squares

• All ┴ lines form right angles

• All rectangles are not squares

• Some chickens do not lay eggs

• Some ┴ lines do not form right angles.

• Some rectangles are squares

• All chickens lay eggs

• All squares are rectangles

Prime numbers are odd (ie. 1, 3, 5, 7, 11, 13) is a ​ (a)   .

• conjecture
• counterexample
• conclusion

Write a counterexample for "All prime numbers are odd"

According to the pattern conjecture below, what will the 6th value be (a)  

2, 4, 12, 48, 240, ...

Alisha makes four statements about angle relationships. Mark which statement is True.

1. 1. Supplementary angles are equal

2. 2. Alternate interior angles are supplementary

3. 3. Same-side interior angles are complimentary

4. 4. Corresponding angles are congruent

• 1. Supplementary angles are equal

• 1. Alternate interior angles are supplementary

• 1. Same-side interior angles are complimentary

• 1. Corresponding angles are congruent

Organize this statement to reflect the correct order.

"If a shape is a square, then it has four equal sides"

Groups:

(a) Converse

,

(b) Inverse

,

(c) Contrapositive

,

(d) Biconditional

• If a shape is not a square, then it does not have four equal sides.

• If a shape is not a square, then it does not have four equal sides.

• A shape is a square if and only if it has four equal sides.

• If a shape has four equal sides, then it is a square.

Match the following statements to the prompt.

"If a quadrilateral is a square, then it has four right angles"

• A quadrilateral is a square if and only if it has four right angles

• Contrapositive

• If a quadrilateral has four right angles, then it is a square

• Inverse

• If a quadrilateral is not a squarethen itdoes not have four right angles

• Converse

• If a quadrilateral does not have four right angles, then it is not a square

• Biconditional