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Understanding Angles and Graphing Lines: Key Concepts for Geometry

This educational resource covers essential geometry concepts, including finding missing angle measures and understanding polygons. It explains the relationship between the sides of a polygon and their angle sums, allowing students to solve for the number of sides, n. Additionally, it highlights graphing lines in the coordinate plane, focusing on slope-intercept form (y = mx + b) and standard form (Ax + By = C). The guide includes step-by-step examples for finding x-intercepts and y-intercepts, essential for accurately plotting lines.

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Understanding Angles and Graphing Lines: Key Concepts for Geometry

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  1. Pre-AP Bellwork 10-26-11 8) Find the missing angle measure. 3x° 7) The sum of the measures of the angles of a polygon with n sides is 4140. Find n. 2x° 4x° x°

  2. 3-5 Lines in the Coordinate Plane

  3. Graphing lines in slope-intercept form Slope- intercept Form: y=mx + b Standard form: Ax + By = C Y-int Slope

  4. Example #2 Example #1 Graphing using slope-intercept form y-int

  5. Graph lines using intercepts. Ex. 2 Graph 6x + 3y = 12 To find the y-intercept, subsitute0 for x; solve for y. 6x + 3y = 12 6(0) + 3y = 12 3y = 12 y= 4 To find the x-intercept, subsitute 0 for y; solve for x. 6x + 3y = 12 6x + 3(0) = 12 6x = 12 x= 2 Plot the intercepts and graph!!!

  6. Plot (0,4) & (2,0)

  7. Example 3 & 4Write in slope-intercept form You try it

  8. EX.5

  9. Ex.6 Write an equation of the line through A(-3,4) and B(4,-1).

  10. EX.7 Write the Equation for the horizontal line and the vertical line that contain P(4,2).

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