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Magazine Chapter 5: Q. 28 (page 201)
In exercises 26-29, complete each statement about the diagram. Then state the definition, postulate or theorem that justifies your answer.
If and , then Q is the of .
Short Answer
If and , then Q is the midpointof .
The theorem that justifies the answer is the theorem 5-10 which states thata line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
Step by step solution
- Observe the given diagram.
The given diagram is:
- Write the theorem 5-10
The theorem 5-10 states that a line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
- Description of step.
As , therefore P is the midpoint of .
Therefore, the line thatcontains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
Therefore, and Q is the midpoint of third side.
If and , then Q is the midpointof .
The theorem that justifies the answer is the theorem 5-10 which states that a line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
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