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Example 1: Finding Perpendicular Line and Parallel Lines

3 2. slope of EF =. 3 5. slope of GH =. 3 5. slope of PQ =. –2 3. 2 3. slope of CD = or –. 3 –3. slope of QR = or –1. Example 1: Finding Perpendicular Line and Parallel Lines. Which lines are parallel? Which lines are perpendicular?. GH || PQ. 3 5.

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Example 1: Finding Perpendicular Line and Parallel Lines

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  1. 3 2 slope of EF = 3 5 slope of GH = 3 5 slope of PQ = –2 3 2 3 slope of CD = or – 3 –3 slope of QR = or –1 Example 1: Finding Perpendicular Line and Parallel Lines Which lines are parallel? Which lines are perpendicular?

  2. GH || PQ 3 5 3 5 The slopes are equal. = EFCD The slopes have a product of –1: • – = –1 2 3 3 2 Example 1: Continued Which lines are parallel? Which lines are perpendicular?

  3. –4 6 –6 4 –2 3 –3 2 slope of EF = or slope of AB = or –2 3 slope of CD = 2 3 slope of GH = 3 3 slope of JK = or 1 Try This: Example 2 Which lines are parallel? Which lines are perpendicular? A C K D E H B J G F

  4. GHAB CD || EF –2 3 –2 3 The slopes are equal. = The slopes have a product of –1: • – = –1 3 2 2 3 Try This: Example 2 Continued Which lines are parallel? Which lines are perpendicular? A C K D E H B J G F

  5. CD || BA and BC || AD Example 3: Using Coordinates to Classify Quadrilaterals Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. A. A(3, –2), B(2, –1), C(4, 3), D(5, 2) parallelogram

  6. TU || SR and ST || RU TU^RU, RU^RS, RS^ST and ST^TU Example 4: Using Coordinates to Classify Quadrilaterals Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. B. R(–3, 1), S(–4, 2), T(–3, 3), U(–2, 2) parallelogram, rectangle, rhombus, square

  7. GH || JI Example 5: Using Coordinates to Classify Quadrilaterals Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. C. G(1, –1), H(1, –2), I(3, –3), J(3, 1) trapezoid

  8. WZ || XY and WX || ZY WZ^ZY, ZY^XY, XY^WX and WX^WZ Example 6: Using Coordinates to Classify Quadrilaterals Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. D. W(2, –3), X(3, –4), Y(6, –1), Z(5, 0) parallelogram, rectangle

  9. CD || BA and BC || AD Try This: Example 7 Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. A. A(–1, 3), B(1, 5), C(7, 5), D(5, 3) B C A D parallelogram

  10. EF || HG Try This: Example 8 Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. B. E(1, 5), F(7, 5), G(6, 1), H(2, 1) E F trapezoid G H

  11. ZW || YX and WX || ZY WX^ZW, XY^WX, YZ^XY and ZW^YZ Try This: Example 9 Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. C. W(4, 8), X(8, 2), Y(2, –2), Z(–2, 4) W Z X parallelogram, rectangle, rhombus, square Y

  12. TU || SR and ST || RU TU^RU, RU^RS, RS^ST and ST^TU Try This: Example 10 Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. D. R(–1, 1), S(3, 7), T(6, 5), U(2, –1) S T R parallelogram, rectangle U

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