7) A line, segment, or ray that passes through the midpoint of a segment is known as a... bisector divisor perpendicular plane postulate
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Key Concepts
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In Exercises $29-32,$ rewrite the de nition of the term as a biconditional statement. (See Example $5 . )$ The midpoint of a segment is the point that divides the segment into two congruent segments.
Reasoning and Proofs
Conditional Statements
Complete the statement. 1. The ? of a segment is the point on the segment that divides it into two congruent segments. 2. A ? is a segment, ray, line, or plane that intersects a segment at its midpoint. 3. To ? a segment means to divide the segment into two congruent segments. M is the midpoint of the segment. Find the segment lengths. 4. Find TM and MR. 5. Find FM and MD. 6. Find MR and QR. 7. Find KM and KL. Use the Midpoint Formula to find the coordinates of the midpoint of CD. PQ. find the coordinates of its midpoint. 10. P(0, 0), Q(6, -4) 11. P(0, 8), Q(2, 6) 12. P(1, 2), Q(-5, 0) M is the midpoint of AB. Find the value of x. 15. A balance beam is shown at the right. Your gymnastics routine includes a jump at the midpoint M of the beam. If the length of the beam is 500 centimeters, what is the distance from the end of the beam to the jump location?
Kathleen C.
VOCABULARY The ___________ of a triangle is a segment that connects the midpoints of two sides of the triangle.
Relationships Within Triangles
The Triangle Midsegment Theorem
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