Activity 3 Axiomatic System of Geometry

Which is an undefined term?

• angle
• line
• line segment
• ray

Tags

CCSS.4.G.A.1

Consider the incomplete algebraic proof shown.  
Given:  2(3x + 4) = 56
Prove:  x = 8
What is the missing reason for step 2(two)

• Distributive Property
• Multiplication Prop. of =
• Addition Prop. of =
• Multiplication Prop. of =

Tags

CCSS.HSA.REI.A.1

Consider the incomplete algebraic proof shown.  
Given:  2(3x + 4) = 56
Prove:  x = 8
What is the missing reason for step  3(three)

• Addition Prop. of =
• Multiplication Prop. of =
• Subtraction Prop. of =
• Division Prop. of =

Tags

CCSS.HSA.REI.A.1

Consider the incomplete algebraic proof shown.  
Given:  2(3x + 4) = 56
Prove:  x = 8
What is the missing reason for step  4(four)

• Addition Prop. of =
• Multiplication Prop. of =
• Subtraction Prop. of =
• Division Prop. of =

Consider the conditional statement.  "If the sun is out, then we will go to the beach."  What is the conclusion of the statement?

• the sun is out.
• If the sun is out
• we will go to the beach
• then we will go to the beach

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Consider the conjecture shown.  "If a>b, then a/b > 0"  Which is a counterexample to this conjecture?

• a = 12, b = 5
• a = 12, b = -5
• a = -5, b = 12
• a = -5, b = -12

Consider the conditional statement shown.  "If a student plays the trumpet, then the  student is in the school band."  Which is a counterexample to this conditional statement?

• A student can be in the band but not play the trumpet. 
• A student may not be in the band and not play the trumpet.
• A student can play the trumpet but not be in the school band.
• A student may not play the trumpet but still be in the school band.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Consider the conditional statement shown.  "If a parallelogram is a square, then it has four right angles."  What is the converse of the statement and is it true or false. 

• If a parallelogram has four right angles, then it is a square; true
• If a parallelogram has four right angles, then it is a square; false.
• If a parallelogram is not a square, then it does not have four right angles; true.
• If a parallelogram is not a square, then it does not have four right angles; false.

Tags

CCSS.8.G.B.8

Consider the statement shown.  "Points that lie on the same line are collinear."  What is the statement written as a biconditional statement?

• Points are collinear if they lie on the same line.
• If points are collinear, then they lie on the same line.
• If points lie on the same line, then they are collinear.
• Points are collinear if and only if they lie on the same line.

Consider the conditional statement shown.  "If x = 4, then x² = 16".  Which explains whether this statement can be written as a biconditional statement?

• Yes, because the converse of the statement is true.
• No, because the converse of the statement is not true.
• Yes, because the contrapositive of the statement is true.
• No, because the contrapositive of the statement is not true.