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

By Matt Richardson
Last updated over 2 years ago
25 Questions
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.

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Substitution Property of Equality
Distributive Property
3.

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

What is the value of x? Justify each step.

4.

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

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

Problem 2 Got It?

6.

Problem 2 Got It?

7.

Problem 2 Got It?

8.

Problem 2 Got It?

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.

10.

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

11.
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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.

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.

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

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

20.

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

21.

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

22.

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

23.

Vocabulary Review: Classify each item on the left.

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

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

Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
25.

Reflection: Math Success