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Geometry Warm-Up: Definitions and Equations

Explore key geometric concepts such as bisect, perpendicular, midpoint, and parallel lines. Understand definitions through paper folding exercises and solve equations to enhance your geometry skills. Learn about conjectures, segment bisectors, distance from a point to a line, and angle bisectors.

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Geometry Warm-Up: Definitions and Equations

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  1. Warm Up Define the following in your own words: • Bisect • Perpendicular • Midpoint • Parallel

  2. Warm Up • Find x 3x+4 7x + 5

  3. Geometry Using Paper Folding Some Definitions

  4. Perpendicular Lines • Two lines that intersect to form a right angle.

  5. Parallel Lines • Two coplanar lines that do not intersect. • Also, as you learned in algebra, they have the same slope.

  6. Conjecture • A statement that you think is true. An ‘educated guess’.

  7. Distance (point to line) • The distance from a point to a line is the length of the perpendicular segment from the point to the line.

  8. Segment Bisector • A line that divides a segment into two congruent parts.

  9. Midpoint • The point where a bisector intersects the segment.

  10. Perpendicular Bisector • A bisector that is perpendicular to a segment.

  11. Angle Bisector • A line or ray that divides an angle into two congruent angles.

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