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Warm Up

Complete each sentence. 1 . Two lines in a plane that never meet are called ____ ______ ___ lines . 2 . _______________ lines intersect at right angles. 3 . The symbol || means that lines are ________ ______ .

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Warm Up

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  1. Complete each sentence. 1. Two lines in a plane that never meet are called _____________ lines. 2. _______________lines intersect at right angles. 3. The symbol || means that lines are ______________. 4. When a transversal intersects two ________lines, all of the acute angles are congruent. Warm Up parallel Perpendicular parallel parallel

  2. Coordinate Geometry Section 8.5

  3. Objective • Student will identify polygons in the coordinate plane. Standard MG3.2 Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections. Also covered:AF3.3

  4. Did you know? In computer graphics, a coordinate system is used to create images, from simple geometric figures to realistic figures used in movies. Properties of the coordinate plane can be used to find information about figures in the plane, such as whether lines in the plane are parallel.

  5. 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 Parallel & Perpendicular Lines Which lines are parallel? Which lines are perpendicular? Step 1 Find the slope of each line.

  6. GH || PQ 3 5 3 5 The slopes are equal. = EFCD Parallel & Perpendicular Lines Which lines are parallel? Which lines are perpendicular? Step 2 Compare the slopes.

  7. –4 6 –6 4 –3 2 –2 3 slope of AB = or slope of EF = or –2 3 slope of CD = 2 3 slope of GH = 3 3 slope of JK = or 1 Parallel & Perpendicular Lines Which lines are parallel? Which lines are perpendicular? Step 1 Find the slope of each line. A C K D E H B J G F

  8. Quadrilaterals • only one set of parallel sides. Trapezoid • two set of parallel sides. Parallelogram • two set of parallel sides. • 4 right angles Rectangle Square • two set of parallel sides. • 4 right angles • 4 equal sides

  9. Quadrilaterals • two set of parallel sides. • 4 equal sides Rhombus Kite • two sets of congruent sides.

  10. Classify the Quadrilateral Can you name the quadrilaterals? Your desk! 3. 1. Quadrilateral, trapezoid Quadrilateral, Parallelogram, Rectangle, Square, 2. 4. Quadrilateral, Parallelogram, Rectangle Quadrilateral, Kite

  11. State whether each statement is always true, sometimes true, or false. • A square is a rectangle. • A rectangle is a square. • All rectangles are squares. • All squares are parallelograms. • All quadrilaterals are rectangles. • A square is a trapezoid. • A parallelogram is a rectangle. Always true Sometimes true False Always true False False Sometimes true

  12. 10 3 – MN, RQ Lesson Quiz Determine the slope of each line. 1.PQ 2.MN 3.MQ 4.NP 5. Which pair of lines are parallel? 1 8 7

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