1 / 19

Warm Up Complete each sentence. 1 . Two lines in a plane that never meet are called lines.

7-5. Coordinate Geometry. Course 3. 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 .

eithne
Download Presentation

Warm Up Complete each sentence. 1 . Two lines in a plane that never meet are called lines.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7-5 Coordinate Geometry Course 3 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 . 4. When a transversal intersects two lines, all of the acute angles are congruent. parallel Perpendicular parallel parallel

  2. 7-5 Coordinate Geometry Course 3 Problem of the Day What type of polygon am I? My opposite angles have equal measure. I do not have a right angle. All my sides are congruent. rhombus

  3. 7-5 Coordinate Geometry Course 3 TB P. 347-351 Learn to identify polygons in the coordinate plane.

  4. 7-5 Coordinate Geometry Course 3 Insert Lesson Title Here Vocabulary slope rise run

  5. 7-5 Coordinate Geometry Course 3 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.

  6. 7-5 Coordinate Geometry riserun vertical change horizontal change Course 3 Slope is a number that describes how steep a line is. slope = =

  7. 7-5 Coordinate Geometry Remember! When a nonzero number is divided by zero, the quotient is undefined. There is no answer. Course 3 The slope of a horizontal line is 0. The slope of a vertical line is undefined.

  8. 7-5 Coordinate Geometry XY positive slope; slope of XY = = 5 4 –5 –4 Course 3 Additional Example 1A: Finding the Slope of a Line Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line.

  9. 7-5 Coordinate Geometry negative slope; slope of ZA = = – –1 2 1 2 Course 3 Additional Example 1B: Finding the Slope of a Line Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. ZA

  10. 7-5 Coordinate Geometry slope of BC is undefined Course 3 Additional Example 1C: Finding the Slope of a Line Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. BC

  11. 7-5 Coordinate Geometry slope of DM = 0 Course 3 Additional Example 1D: Finding the Slope of a Line Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. DM

  12. 7-5 Coordinate Geometry Helpful Hint If a line has slope , then a line perpendicular to it has slope – . a b b a Course 3

  13. 7-5 Coordinate Geometry 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 Course 3 Additional Example 2: Finding Perpendicular Line and Parallel Lines Which lines are parallel? Which lines are perpendicular?

  14. 7-5 Coordinate Geometry GH || PQ 3 5 3 5 The slopes are equal. = EFCD The slopes have a product of –1: • – = –1 2 3 3 2 Course 3 Additional Example 2 Continued Which lines are parallel? Which lines are perpendicular?

  15. 7-5 Coordinate Geometry CD || BA and BC || AD Course 3 Additional Example 3A: Using Coordinates to Classify Quadrilaterals Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. A(3, –2), B(2, –1), C(4, 3), D(5, 2) parallelogram

  16. 7-5 Coordinate Geometry TU || SR and ST || RU TU^RU, RU^RS, RS^ST and ST^TU Course 3 Additional Example 3B: Using Coordinates to Classify Quadrilaterals Graph the quadrilaterals with the given vertices. Give all the names that apply to each quadrilateral. R(–3, 1), S(–4, 2), T(–3, 3), U(–2, 2) parallelogram, rectangle, rhombus, square

  17. 7-5 Coordinate Geometry Course 3 Additional Example 4: Finding the Coordinates of a Missing Vertex Find the coordinates of the missing vertex. Rectangle WXYZ with W(–2, 2), X(3, 2), and Y(3, –4) Step 1 Graph and connect the given points. W X Step 2 Complete the figure to find the missing vertex. The coordinates of Z are (–2, –4). Y Z

  18. 7-5 Coordinate Geometry Course 3 Additional Example 4B: Finding the Coordinates of a Missing Vertex Find the coordinates of the missing vertex. Rectangle JKLM with J(–1, 2), K(4, 2), and L(4, –1) Step 1 Graph and connect the given points. J K Step 2 Complete the figure to find the missing vertex. L M The coordinates of M are (–1, –1).

  19. 7-5 Coordinate Geometry 10 3 – MN, RQ Course 3 Insert Lesson Title Here 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

More Related