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Geometry 2-5 Complete Lesson: Reasoning in Algebra and Geometry

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Last updated almost 4 years ago
25 questions
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Question 2
2.

Take Note: Match each item on the left with the property it demonstrates on the right.

Assume that a, b, and c are real numbers, that a = b, and that c ≠ 0.

Draggable itemarrow_right_altCorresponding Item
b = b
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Addition Property of Equality
a ÷ 4 = b ÷ 4
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Subtraction Property of Equality
a + 5 = b + 5
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Multiplication Property of Equality
a - 17 = b - 17
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Division Property of Equality
If a = b and b = 24, then a = 24.
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Reflexive Property of Equality
If c = 10, then 10 can replace c in any expression.
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Symmetric Property of Equality
-3b = -3a
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Transitive Property of Equality
5(a - b) = 5a - 5b
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Substitution Property of Equality
If 7 = a, then a = 7.
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Distributive Property
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Question 3
3.

Problem 1 Got It?
Given: ray AB bisects ∠RAN

What is the value of x? Justify each step.

Question 4
4.

Take Note: Categorize each item on the left with the property it demonstrates on the right.

  • If \angle{B} \cong \angle{M}, then \angle{M} \cong \angle{B}.
  • \angle{1} \cong \angle{1}
  • If \overline{PR} \cong \overline{TS} and \overline{TS} \cong \overline{ML}, then \overline{PR} \cong \overline{ML}.
  • \overline{ST} \cong \overline{ST}
  • Reflexive Property of Congruence
  • Symmetric Property of Congruence
  • Transitive Property of Congruence
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Question 5
5.

Problem 2 Got It?

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Question 6
6.

Problem 2 Got It?

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Question 7
7.

Problem 2 Got It?

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Question 8
8.

Problem 2 Got It?

Question 9
9.

Problem 3 Got It? Complete the two-column proof on the canvas.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Question 10
10.

Problem 3 Got It? Reasoning: In Problem 3, why is Statement 2 necessary in the proof?

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Question 11
11.
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Question 12
12.
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Question 13
13.
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Question 17
17.

Review Lesson 2-4: Use logical reasoning to draw a conclusion. State your conclusion in the response field.

If a student is having difficulty in class, then that student's teacher is concerned.
Walt is having difficulty in science class.

On the canvas, circle the law that justifies your conclusion.

Question 18
18.

Review Lesson 1-4: Use the diagram to identify the measure of each angle in the right column below.


Some measurements will not be used.

  • 125
  • 80
  • 45
  • 70
  • 10
  • 90
  • 65
  • m\angle{AOC}
  • m\angle{DOB}
  • m\angle{AOD}
  • m\angle{BOE}
Question 19
19.

Review Lesson 1-5: Find the value of the variable. Enter only a number.

Question 20
20.

Review Lesson 1-5: Find the value of the variable. Enter only a number.

Question 21
21.

Review Lesson 1-5: Find the value of the variable. Enter only a number.

Question 22
22.

Review Lesson 1-5: Find the value of the variable. Enter only a number.

Question 23
23.

Vocabulary Review: Classify each item on the left.

  • 3x+2=4
  • 5+3^4
  • 2(a-5)^2
  • 9<x-2
  • Equation
  • Not and equation
Question 24
24.

Use Your Vocabulary: Match each equation in the left column with the property you would use to justify it on the right.

Draggable itemarrow_right_altCorresponding Item
12(4)=4(12)
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Commutative Property of Addition
1+(9+53)=(1+9)+53
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Commutative Property of Multiplication
2\cdot (5\cdot x)=(2 \cdot 5) \cdot x
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Associative Property of Multiplication
3+7=7+3
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Associative Property of Addition
Question 25
25.

Reflection: Math Success

Question 14
14.
Question 15
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Question 16
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