1 / 11

8.5 Coordinate Geometry

8.5 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. Example 1: Finding Perpendicular and Parallel Lines. Which lines are parallel? Which lines are perpendicular?.

reuben
Download Presentation

8.5 Coordinate Geometry

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. 8.5 Coordinate Geometry

  2. 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 and Parallel Lines Which lines are parallel? Which lines are perpendicular? Step 1 Find the slope of each line.

  3. 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? Step 2 Compare the slopes.

  4. –4 6 –6 4 –2 3 –3 2 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 Check It Out! Example 2 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

  5. GHAB CD || EF –2 3 –2 3 The slopes are equal. = The slopes have a product of –1: • – = –1 3 2 2 3 Check It Out! Example 2 Continued Which lines are parallel? Which lines are perpendicular? Step 2 Compare the slopes. A C K D E H B J G F

  6. A polygon is a closed plane figure formed by three or more line segments called sides. Each side meets exactly two other sides, one on each end, in a common endpoint. Quadrilaterals are polygons with four sides and four angles. Quadrilaterals with certain properties are given additional names.

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

  8. TU || SR and ST || RU TU^RU, RU^RS, RS^ST and ST^TU Check It Out! Example 4 Graph the quadrilateral with the given vertices. Give all the names that apply to the quadrilateral. R(–3, 1), S(–4, 2), T(–3, 3), U(–2, 2) 2 pairs of parallel sides, 4 right angles. parallelogram, rectangle, rhombus, square

  9. Check It Out! Example 5 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).

More Related