5.1 Midsegments of Triangles Worksheet Answers
What is a Midsegment of a Triangle?
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is also the perpendicular bisector of the side of the triangle opposite the midsegment. The midsegment of a triangle is parallel to the third side of the triangle and is half the length of the third side.
The Midsegment Theorem
The midsegment theorem states that the length of the midsegment of a triangle is equal to one-half the length of the third side of the triangle. In other words, if the lengths of two sides of a triangle are given, then the length of the midsegment of the triangle will be one-half the length of the third side.
5.1 Midsegments of Triangles Worksheet
The 5.1 Midsegments of Triangles Worksheet is designed to help students understand the midsegment theorem and to practice solving problems that involve the length of the midsegment. The worksheet includes a variety of questions that ask students to calculate the length of the midsegment, given the lengths of the sides of the triangle.
5.1 Midsegments of Triangles Worksheet Answers
The answers to the 5.1 Midsegments of Triangles Worksheet can be found below. For each question, the correct answer is provided.
- Question 1: The midsegment of triangle ABC has a length of 10 cm. If the lengths of sides AB and AC are 8 cm and 12 cm, respectively, what is the length of side BC?
Answer: The length of side BC is 16 cm. - Question 2: The midsegment of triangle XYZ has a length of 15 cm. If the lengths of sides XY and XZ are 10 cm and 20 cm, respectively, what is the length of side YZ?
Answer: The length of side YZ is 25 cm. - Question 3: The midsegment of triangle PQR has a length of 8 cm. If the lengths of sides PQ and PR are 12 cm and 6 cm, respectively, what is the length of side QR?
Answer: The length of side QR is 10 cm.
Conclusion
The 5.1 Midsegments of Triangles Worksheet is a great way to help students understand the midsegment theorem and to practice solving problems involving the length of the midsegment. The worksheet includes a variety of questions and provides answers for each one. Hopefully this article has helped you understand the midsegment theorem and how to use it to solve the 5.1 Midsegments of Triangles Worksheet.
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