Segment and Angle Addition Postulate

Segment and Angle Addition Postulate

Assessment

Flashcard

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

2.

FLASHCARD QUESTION

Front

If B is the midpoint of AC, what is the relationship between AB and BC?

Back

If B is the midpoint of AC, then AB = BC.

3.

FLASHCARD QUESTION

Front

If AB = 8, what is the length of AC if B is the midpoint?

Back

AC = AB + BC = 8 + 8 = 16.

4.

FLASHCARD QUESTION

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

5.

FLASHCARD QUESTION

Front

If m∠AOB = 50° and m∠BOC = 30°, what is m∠AOC?

Back

m∠AOC = m∠AOB + m∠BOC = 50° + 30° = 80°.

6.

FLASHCARD QUESTION

Front

If Q is the midpoint of PR and PQ = 6x - 7, QR = 5x + 1, how do you find PR?

Back

Since Q is the midpoint, PQ = QR. Set 6x - 7 = 5x + 1 and solve for x, then find PR.

7.

FLASHCARD QUESTION

Front

What is the formula to find the length of a segment given its endpoints?

Back

The length of a segment with endpoints A(x1, y1) and B(x2, y2) is given by the formula: Length = √((x2 - x1)² + (y2 - y1)²).

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