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Classifying Quadrilaterals in the Coordinate Plane

Practice classifying quadrilaterals like parallelograms, rectangles, and kites in the coordinate plane using slope and distance. Learn to identify properties such as side congruence and parallel sides. Solve equations using a graphing calculator.

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Classifying Quadrilaterals in the Coordinate Plane

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  1. Math 1 Warm Up Inthe Algebra 1 Practice Workbook, Practice 11-2 (p. 148) #1, 2, 10, 18, 19, 23, 39, 42 Practice 11-3 (p. 150) #1, 7, 13, 23, 27, 31, 39, 44

  2. Distance in a Coordinate Plane Find the exact lengths of each side of quadrilateral ABCD then find the perimeter to the nearest tenth.

  3. Questions?

  4. Classifying Figures in the Coordinate Plane Objective: To learn to classify figures in the coordinate plane using slope and distance. quadrilateral – is polygon with four sides.

  5. Types of Quadrilaterals parallelogram– is a quadrilateral with both pairs of opposite sides parallel. rhombus – is a parallelogram with four congruent sides. rectangle – is a parallelogram with four right angles (adjacent sides perpendicular). square – is a parallelogram with four congruent sides and four right angles

  6. Types of Quadrilaterals kite – is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent. trapezoid – is a quadrilateral with exactly one pair of parallel sides. isosceles trapezoid– is a trapezoid whose nonparallel opposite sides congruent.

  7. Warm Up • Each pair of my adjacent sides have opposite reciprocal slopes, but my opposite sides have the same slope. I also have all four side congruent. What am I? • I have no sides congruent, but one pair of opposite sides parallel. Sometimes I can have AT MOST two right angles. What am I? • I have opposite sides that are parallel and all four of my sides are congruent. What am I? • If I am a Kite, what are my properties?

  8. Types of Quadrilaterals

  9. How to determine the most precise name for the quadrilateral. • Step 1 – Graph the quadrilateral. • Step 2 – Find the slope of each side. Same slopes indicate sides are parallel. Opposite & reciprocal slopes indicate sides are perpendicular (form right angles). • Step 3 – Find the length of each side. Determine if pairs of sides are congruent.

  10. Determine the most precise name for the quadrilateral. Quadrilateral LMNP with vertices L(1, 2), M(3, 3), N(5, 2), P(3, 1).

  11. Determine the most precise name for the quadrilateral. Quadrilateral ABCD with vertices A(-3, 3), B(2, 4), C(3, -1), D(-2, -2).

  12. Determine the most precise name for the quadrilateral. Quadrilateral QBHA with vertices Q(-4, 4), B(-2, 9), H(8, 9), A(10, 4).

  13. Assignment Figures in the Coordinate Plane Handout

  14. Math 1 Warm Up Use your graphing calculator to solve each equation. • 2x + 5 = -x – 4 • 4x – 10 = 2x • -5.4(2x + 5) = 1.8(6 + 3x) • 3x – 8 = -6 + x • 4 – 7x = x + 4 • 5x – = 4x + • 5(x + 1) = x + 2 • -9 + x = -3(x – 6) • 8x + 5 = -(2x + 8) – 12

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