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Mathkaball Chapter 1 and 2!!!!

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Presentation on theme: "Mathkaball Chapter 1 and 2!!!!"— Presentation transcript:

1 Mathkaball Chapter 1 and 2!!!!
Created by Educational Technology Network Chapter 1 and 2!!!!

2 Conditional Statements
Segments Angles Conditional Statements Proofs Compound Statements 1 2 3 4

3 Segments 1 point

4 Segments 2 points

5 Segments 3 points R is between Q and S. QR = 2x – 5 RS = x + 7 QS = 29 What is the value of x?

6 What is the length of QR and RS?
Segments 4 points R is between Q and S. QR = 2x – 5 RS = x + 7 QS = 29 What is the length of QR and RS?

7 Angles 1 point Classify each angle.

8 Angles 2 points Find the measure of angle QRS.

9 Angles 3 points Angle ABD is 107 degrees. Find the value of x.

10 Angles 4 points Is ray BC the angle bisector of angle ABD? ABD = 107 degrees

11 Conditional Statements 1
Tell me the hypothesis and conclusion of the conditional statement: “If a bird is black, then the bird is a crow.”

12 Conditional Statements 2
Write the converse of the conditional statement: “If a bird is black, then the bird is a crow.”

13 Conditional Statements 3
Is this conditional statement true or false? If false find one counterexample. “If a bird is black, then the bird is a crow.”

14 Conditional Statements 4
Write the contrapositive of the conditional statement: “If a bird is black, then the bird is a crow.”

15 Proofs 1 Every two column proof begins with the ____________ and ends with the _________

16 Proofs 2 Draw a diagram for the following given information. Find the measure of ∠CBD. Given : m∠ABC = 45 degrees and ∠ABC and CBD form a linear pair.

17 Proofs 3 Fill in the missing statements and reasons in the given two column proof. Given: ∠EFG = 90 degrees and ∠XYZ = 90 degrees Prove: ∠EFG and ∠XYZ are congruent Statements Reasons 1 - Given 2 - Substitution 3 - ∠EFG ≅ ∠XYZ

18 Proofs 4 Transfer the following two column proof into a flow chart proof. Statements Reasons 1 - ∠EFG = 90 degrees and ∠XYZ = 90 degrees Given 2 - ∠EFG = ∠XYZ Substitution 3 - ∠EFG ≅ ∠XYZ Definition of congruent angles

19 Compound Statements 1 Make a conjunction from the two statements below. 1 – Geometry is fun 2 – Geometry is easy

20 Compound Statements 2 How many rows would a truth table have given that there were 5 different statements?

21 Compound Statements 3 p: Irmo’s school colors are black and gold. q: Mr. Riegel is Irmo’s principal Write the disjunction of statements p,q. Is this true or false? If false, provide a counter example.

22 Compound Statements 4 Use these statements to complete the truth table. p: Irmo’s school colors are black and gold. q: Mr. Riegel is Irmo’s principal r: everybody owns an iPhone 4 p q ~q r p V r ~q ^ r


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