4.6 Preap Special Segments
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This quiz, titled '4.6 PreAP Special Segments', assesses understanding of geometric concepts such as perpendicular bisectors, angle bisectors, altitudes, and medians through specific problems, including graphing and calculation tasks in triangle contexts.
- 1.
1. Which of the following choices BEST describes the special segment UT?
- A.
Altitude
- B.
Median
- C.
Perpendicular Bisector
- D.
Angle Bisector
Correct Answer
C. Perpendicular BisectorExplanation
BEST describes means the answer describes the line in the best possible way.Rate this question:
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- 2.
2. Which of the following BEST describes the special segment UT?
- A.
Median
- B.
Altitude
- C.
Perpendicular Bisector
- D.
Angle Bisector
Correct Answer
D. Angle BisectorExplanation
The special segment UT is an angle bisector. An angle bisector is a line or ray that divides an angle into two congruent angles. In this case, the segment UT divides an angle into two equal angles, making it an angle bisector.Rate this question:
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- 3.
Which of the following BEST describes the special segment UT?
- A.
Median
- B.
Altitude
- C.
Perpendicular Bisector
- D.
Angle Bisector
Correct Answer
B. AltitudeExplanation
An altitude is a line segment drawn from a vertex of a triangle perpendicular to the opposite side. It is used to find the height or distance between the vertex and the opposite side. In this case, the special segment UT is described as an altitude, indicating that it is a line segment drawn from vertex U perpendicular to the opposite side T.Rate this question:
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- 4.
Which of the following BEST describes the special segment UT?
- A.
Median
- B.
Altitude
- C.
Perpendicular Bisector
- D.
Angle Bisector
Correct Answer
A. MedianExplanation
A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side. It divides the triangle into two equal areas. In the context of the question, the special segment UT is described as a median because it connects a vertex U to the midpoint T of the opposite side.Rate this question:
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- 5.
Draw the altitude from point G. What is the slope of the altitude?
- A.
8/4 or 2/1
- B.
-4/8 or -1/2
- C.
7/3
- D.
6/8 or 3/4
Correct Answer
B. -4/8 or -1/2Explanation
The slope of the altitude from point G can be determined by finding the slope of the line passing through point G and the orthocenter of the triangle. Since the orthocenter is the intersection of the altitudes, the slope of the altitude is the negative reciprocal of the slope of the line passing through the orthocenter and the midpoint of the opposite side. In this case, the slope is -1/2 or -4/8.Rate this question:
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- 6.
Draw the altitude from point Q. What is the slope of the altitude?
- A.
6/9 or 2/3
- B.
-6/9 or -2/3
- C.
9/6 or 3/2
- D.
-9/6 or -3/2
Correct Answer
A. 6/9 or 2/3 -
- 7.
True or False. Find the point of concurrency of the perpendicular bisectors. The point of concurrency is on the hypotenuse of the triangle.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The point of concurrency of the perpendicular bisectors is called the circumcenter of the triangle. It is the center of the circle that passes through all three vertices of the triangle. Since the hypotenuse is one of the sides of the triangle, the circumcenter must lie on it. Therefore, the statement is true.Rate this question:
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- 8.
True or False. Find the point of concurrency of the altitudes. The point of concurrency is inside the triangle.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The point of concurrency of the altitudes is at the 90 degree angle.Rate this question:
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.jpg "True or False. Find the point of concurrency of the altitudes. The point of concurrency is inside the triangle.")
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Current Version
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Feb 28, 2024Quiz Edited by
ProProfs Editorial Team -
Nov 04, 2012Quiz Created by
Blinda Windham