GEOMETRY Section 4.7 Intro to Coordinate Proofs

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Presentation transcript:

GEOMETRY Section 4.7 Intro to Coordinate Proofs

Formula Reminders Distance = Midpoint = Slope = Used to Find lengths of segments Show that two segments are congruent Midpoint = Find the midpoint of segments Used to show that segments are bisected Slope = Show that two lines are parallel Show that two lines are perpendicular

Convenient Position for Figures Use the origin as a vertex, keeping the figure in Quadrant I. Center the figure at the origin. Center a side of the figure at the origin. Use one or both axes as sides of the figure.

Examples Conveniently position the following objects Square with sides b) Isosceles triangle of 6 units with base 10 & height 7.

Coordinate Proofs 1) Graph the figure (If no points given, graph conveniently Use distance, midpoint, or slope formulas to show what is needed. Justify each step with formula name or reason from the green sheet.

Example: Use the square in the example above to prove that the diagonals bisect each other.

Example: Show that the rectangle below has diagonals of the same length.

Assignment #7: page 270 #’s 2-4,8,9,30,(38)