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Geometry 2-5 Guided Practice: Reasoning in Algebra and Geometry

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Last updated almost 4 years ago
11 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
-3b = -3a
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Addition Property of Equality
If c = 10, then 10 can replace c in any expression.
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Subtraction Property of Equality
b = b
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Multiplication Property of Equality
If 7 = a, then a = 7.
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Division Property of Equality
a - 17 = b - 17
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Reflexive Property of Equality
5(a - b) = 5a - 5b
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Symmetric Property of Equality
a ÷ 4 = b ÷ 4
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Transitive Property of Equality
If a = b and b = 24, then a = 24.
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Substitution Property of Equality
a + 5 = b + 5
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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.

  • \angle{1} \cong \angle{1}
  • 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}.
  • \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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?