Geometry 2-5 Complete Lesson: Reasoning in Algebra and Geometry
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Last updated over 3 years ago
25 questions
10
10
Assume that a, b, and c are real numbers, that a = b, and that c ≠0.
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 item | arrow_right_alt | Corresponding Item |
|---|---|---|
5(a - b) = 5a - 5b | arrow_right_alt | Addition Property of Equality |
a + 5 = b + 5 | arrow_right_alt | Subtraction Property of Equality |
If 7 = a, then a = 7. | arrow_right_alt | Multiplication Property of Equality |
If a = b and b = 24, then a = 24. | arrow_right_alt | Division Property of Equality |
a - 17 = b - 17 | arrow_right_alt | Reflexive Property of Equality |
a ÷ 4 = b ÷ 4 | arrow_right_alt | Symmetric Property of Equality |
-3b = -3a | arrow_right_alt | Transitive Property of Equality |
If c = 10, then 10 can replace c in any expression. | arrow_right_alt | Substitution Property of Equality |
b = b | arrow_right_alt | Distributive Property |
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Problem 1 Got It?Given: ray AB bisects ∠RAN
What is the value of x? Justify each step.
Problem 1 Got It?
Given: ray AB bisects ∠RAN
What is the value of x? Justify each step.
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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}.
- \overline{ST} \cong \overline{ST}
- \angle{1} \cong \angle{1}
- If \overline{PR} \cong \overline{TS} and \overline{TS} \cong \overline{ML}, then \overline{PR} \cong \overline{ML}.
- Reflexive Property of Congruence
- Symmetric Property of Congruence
- Transitive Property of Congruence
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Problem 2 Got It?
Problem 2 Got It?
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Problem 2 Got It?
Problem 2 Got It?
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Problem 2 Got It?
Problem 2 Got It?
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Problem 2 Got It?
Problem 2 Got It?
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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.
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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Problem 3 Got It? Reasoning: In Problem 3, why is Statement 2 necessary in the proof?
Problem 3 Got It? Reasoning: In Problem 3, why is Statement 2 necessary in the proof?
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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.
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.
10
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.
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
- 45
- 65
- 80
- 90
- 70
- 10
- m\angle{AOC}
- m\angle{DOB}
- m\angle{AOD}
- m\angle{BOE}
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Review Lesson 1-5: Find the value of the variable. Enter only a number.
Review Lesson 1-5: Find the value of the variable. Enter only a number.
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Review Lesson 1-5: Find the value of the variable. Enter only a number.
Review Lesson 1-5: Find the value of the variable. Enter only a number.
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Review Lesson 1-5: Find the value of the variable. Enter only a number.
Review Lesson 1-5: Find the value of the variable. Enter only a number.
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Review Lesson 1-5: Find the value of the variable. Enter only a number.
Review Lesson 1-5: Find the value of the variable. Enter only a number.
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Vocabulary Review: Classify each item on the left.
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
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Use Your Vocabulary: Match each equation in the left column with the property you would use to justify it on the right.
Use Your Vocabulary: Match each equation in the left column with the property you would use to justify it on the right.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
1+(9+53)=(1+9)+53 | arrow_right_alt | Commutative Property of Addition |
12(4)=4(12) | arrow_right_alt | Commutative Property of Multiplication |
3+7=7+3 | arrow_right_alt | Associative Property of Multiplication |
2\cdot (5\cdot x)=(2 \cdot 5) \cdot x | arrow_right_alt | Associative Property of Addition |
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Reflection: Math Success
Reflection: Math Success