Problem Analysis and Solution
The task involves identifying the type of line segment represented by the dotted lines in three different triangles. Let's analyze each question step by step.
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Question 1:
What type of line segment is represented by the dotted line in the pictured triangle?
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Image Description: The triangle has a dotted line extending from one vertex to the midpoint of the opposite side.
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Key Properties:
- A
median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
- The dotted line in the image connects a vertex to the midpoint of the opposite side, which matches the definition of a median.
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Correct Answer: Median
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Question 2:
What type of line segment is represented by the vertical dotted line in the pictured triangle?
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Image Description: The triangle has a vertical dotted line extending from one vertex perpendicular to the opposite side.
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Key Properties:
- An
altitude of a triangle is a perpendicular line segment from a vertex to the line containing the opposite side.
- The dotted line in the image is perpendicular to the base of the triangle, which matches the definition of an altitude.
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Correct Answer: Altitude
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Question 3:
What type of line segment is represented by the dotted line in the pictured triangle?
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Image Description: The triangle has a dotted line extending from one vertex to the opposite side, dividing the angle at that vertex into two equal parts.
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Key Properties:
- An
angle bisector of a triangle is a line segment that divides an interior angle into two equal angles.
- The dotted line in the image divides the angle at the vertex into two equal parts, which matches the definition of an angle bisector.
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Correct Answer: Angle bisector
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Final Answers:
1.
Median
2.
Altitude
3.
Angle bisector
Boxed Final Answer:
\[
\boxed{\text{Median, Altitude, Angle bisector}}
\]
Parent Tip: Review the logic above to help your child master the concept of altitudes of a triangle worksheet.
