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Understanding Rhombuses, Kites, Midpoints, Distances, and Slopes in Geometry

This lesson covers essential concepts in geometry, focusing on rhombuses and kites, including their properties and how to calculate angle measures. Additionally, it provides in-depth explanations on the midpoint formula, distance formula, and slope calculations. Learn how to find the midpoint between two points, the length of a segment, and the slope of a line. Furthermore, understand the relationships between lines with equal slopes (parallel) and opposite slopes (perpendicular), including examples with specific endpoints. Ideal for students preparing for math assessments.

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Understanding Rhombuses, Kites, Midpoints, Distances, and Slopes in Geometry

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  1. B E A C D Acc Math 1 March 20th • Get a Calculator WARM-UP ABCD is a RHOMBUS 1. If What is the measure of ? 2. In the kite, if m and m, What is the measure of A B E D C

  2. p. 30 Distance, Midpoint and Slope • Midpoint: equal distance from each endpoint of the segment (the average between the two points)

  3. p. 30 Distance, Midpoint and Slope • Midpoint: equal distance from each endpoint of the segment (the average between the two points) • Formula:

  4. p. 30 Distance, Midpoint and Slope • Midpoint: equal distance from each endpoint of the segment (the average between the two points) • Formula: • Distance Formula:

  5. p. 30 Distance, Midpoint and Slope • Midpoint: equal distance from each endpoint of the segment (the average between the two points) • Formula: • Distance Formula: • Slope: or

  6. p. 30 Distance, Midpoint and Slope • Midpoint: equal distance from each endpoint of the segment (the average between the two points) • Formula: • Distance Formula: • Slope: or • If two lines have the same slope, they are parallel.

  7. p. 30 Distance, Midpoint and Slope • Midpoint: equal distance from each endpoint of the segment (the average between the two points) • Formula: • Distance Formula: • Slope: or • If two lines have the same slope, they are parallel. • If two lines have opposite slope, they are perpendicular. (They are negative reciprocals)

  8. p. 30 Distance, Midpoint and Slope • If two lines have the same slope, they are parallel. (Lines never intersect) • If two lines have “opposite” slopes, they are perpendicular. (Lines intersect at 90o angle) • They are negative reciprocals

  9. Use the endpoints: A(2, 3) and B(5, 7) • Find the midpoint • Find the distance (length) • Find the slope

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