Segment Addition Postulate Practice Flashcards
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Segment Addition Postulate Practice Flashcards

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Questions and Answers

What is the value of x if the measure of AB is 3x + 4, the measure of BC is 5x - 6, and the measure of AC is 38?

5

What is the value of x if the measure of AB is 6x + 5, the measure of BC is 4x, and the measure of AC is 45?

4

What is the length of AB if the measure of AB is 3x + 4, the measure of BC is 3x + 4, and the measure of AC is 62?

31

What is the length of AC if the measure of AB is x + 4, the measure of BC is 4, and the measure of AC is 3x + 2?

<p>11</p> Signup and view all the answers

What is the length of AC if the measure of AB is 10 + x, the measure of BC is 12, and the measure of AC is 2x + 20?

<p>24</p> Signup and view all the answers

What is the length of AB if the measure of AB is 4x + 3, the measure of BC is 15, and the measure of AC is 58?

<p>43</p> Signup and view all the answers

What is the length of AC if the measure of AB is x + 2, the measure of BC is 3x - 9, and the measure of AC is 6x - 21?

<p>21</p> Signup and view all the answers

What is the numerical value represented by the word 11?

<p>11</p> Signup and view all the answers

What is the numerical value represented by the word 4?

<p>4</p> Signup and view all the answers

What is the numerical value represented by the word 9?

<p>9</p> Signup and view all the answers

What is the numerical value represented by the word 3?

<p>3</p> Signup and view all the answers

What is the numerical value represented by the word 8?

<p>8</p> Signup and view all the answers

What is the numerical value represented by the word 10?

<p>10</p> Signup and view all the answers

What is the numerical value represented by the word 7?

<p>7</p> Signup and view all the answers

What is the numerical value represented by the word 6?

<p>6</p> Signup and view all the answers

What is the numerical value represented by the word 2?

<p>2</p> Signup and view all the answers

What is the numerical value represented by the word 1?

<p>1</p> Signup and view all the answers

Study Notes

Segment Addition Postulate Practice

  • Point B lies between points A and C, allowing the relationship of segment lengths to be expressed via the equation: AB + BC = AC.
  • Various problems calculated values of x to find specific segment lengths using the Segment Addition Postulate.

Card Guidelines

  • For Card 1: The expressions for segments are given as AB = 3x + 4, BC = 5x - 6, and AC = 38, solving results in x = 5.
  • For Card 2: With AB = 6x + 5, BC = 4x, and AC = 45, solving yields x = 4.
  • For Card 3: Both segments AB and BC are expressed as 3x + 4 with AC at 62, leading to AB = 31.
  • For Card 4: Given AB = x + 4, BC = 4, and AC = 3x + 2, the calculated total AC equals 11.
  • For Card 5: The segments consist of AB = 10 + x, BC = 12, and the resulting AC is 2x + 20, giving AC = 24.
  • For Card 6: The expressions are AB = 4x + 3, BC = 15, and AC = 58, resulting in AB = 43.
  • For Card 7: The measures are listed as AB = x + 2, BC = 3x - 9, with AC calculated to be 6x - 21, giving AC = 21.

Numerical Values

  • Cards 8 to 17 represent isolated numerical values (1 through 11), potentially representing specific lengths or characteristics required in mathematical problems related to segments.

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Description

Test your understanding of the Segment Addition Postulate with these practice flashcards. Each card presents a scenario involving points and line segments, requiring you to calculate the value of x. Perfect for reinforcing your geometry skills!

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