Geometry 2-5 Complete Lesson: Reasoning in Algebra and Geometry
By Matt Richardson
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Last updated about 3 years ago
25 Questions
10 points
10
10 points
10
Question 2
2.
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.
If c = 10, then 10 can replace c in any expression. | arrow_right_alt | Addition Property of Equality |
-3b = -3a | arrow_right_alt | Subtraction Property of Equality |
5(a - b) = 5a - 5b | arrow_right_alt | Multiplication Property of Equality |
If a = b and b = 24, then a = 24. | arrow_right_alt | Division Property of Equality |
a + 5 = b + 5 | arrow_right_alt | Reflexive Property of Equality |
a - 17 = b - 17 | arrow_right_alt | Symmetric Property of Equality |
b = b | arrow_right_alt | Transitive Property of Equality |
If 7 = a, then a = 7. | arrow_right_alt | Substitution Property of Equality |
a ÷ 4 = b ÷ 4 | arrow_right_alt | Distributive Property |
10 points
10
Question 3
3.
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.
10 points
10
Question 4
4.
Take Note: Categorize each item on the left with the property it demonstrates on the right.
- \angle{1} \cong \angle{1}
- \overline{ST} \cong \overline{ST}
- If \angle{B} \cong \angle{M}, then \angle{M} \cong \angle{B}.
- 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
10 points
10
Question 5
5.
Problem 2 Got It?
Problem 2 Got It?
10 points
10
Question 6
6.
Problem 2 Got It?
Problem 2 Got It?
10 points
10
Question 7
7.
Problem 2 Got It?
Problem 2 Got It?
10 points
10
Question 8
8.
Problem 2 Got It?
Problem 2 Got It?
10 points
10
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.
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.
10 points
10
Question 10
10.
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?
10 points
10
Question 11
11.
10 points
10
Question 12
12.
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10
Question 13
13.
10 points
10
Question 14
14.
10 points
10
Question 15
15.
10 points
10
Question 16
16.
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10
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.
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 points
10
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.
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.
- 90
- 125
- 10
- 65
- 70
- 80
- 45
- m\angle{AOC}
- m\angle{DOB}
- m\angle{AOD}
- m\angle{BOE}
5 points
5
Question 19
19.
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.
5 points
5
Question 20
20.
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.
5 points
5
Question 21
21.
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.
5 points
5
Question 22
22.
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.
10 points
10
Question 23
23.
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
10 points
10
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.
Use Your Vocabulary: Match each equation in the left column with the property you would use to justify it on the right.
1+(9+53)=(1+9)+53 | arrow_right_alt | Commutative Property of Addition |
3+7=7+3 | arrow_right_alt | Commutative Property of Multiplication |
12(4)=4(12) | arrow_right_alt | Associative Property of Multiplication |
2\cdot (5\cdot x)=(2 \cdot 5) \cdot x | arrow_right_alt | Associative Property of Addition |
10 points
10
Question 25
25.
Reflection: Math Success
Reflection: Math Success