6.7 polygons in the coordinate...

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6.7 polygons in the coordinate plane.notebook 1 Bellrigner 1/23/2014 1. Given A(6, 2) and B(4, 8), what is the midpoint and length of AB? 2. Find the slope of the line containing the points C(1, 5) and D(7, 3). pg. 394 hw answers 7. 1 = 77, 2 = 103, 3 = 103 19. 1 = 90, 2 = 26, 3 = 90 34. x = 28 9. 1 = 49, 2 = 131, 3 = 131 21. 1 = 90, 2 = 55, 3 = 90, 4 = 55 11. 1 = 115, 2 = 115, 3 = 65 5 = 35 13. EF = 9 23. 1 = 90, 2 = 90, 3 = 90, 4 = 90, 5 = 46, 6 = 34 15. EF = 9 7 = 56, 8 = 44, 9 = 56, 10 = 44 17. 1 = 90, 2= 45, 3 = 45 28. x = 12 30. AD = 4, EF = 9, BC = 14 32. EF = 1, CD = 6, HG = 11

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Page 1: 6.7 polygons in the coordinate plane.notebookimages.pcmac.org/SiSFiles/Schools/AL/HooverCity/SpainParkHigh/U… · 6.7 polygons in the coordinate plane.notebook 5 6.7 Polygons in

6.7 polygons in the coordinate plane.notebook

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Bellrigner 1/23/20141. Given A(6, ­ 2) and B(­4, 8), what is the midpoint and length of AB?

2. Find the slope of the line containing the points C(­1, 5) and D(7, 3).

pg. 394 hw answers

7. 1 = 77, 2 = 103, 3 = 103 19. 1 = 90, 2 = 26, 3 = 90  34.  x = 28

9. 1 = 49, 2 = 131, 3 = 131 21. 1 = 90, 2 = 55, 3 = 90, 4 = 55

11. 1 = 115, 2 = 115, 3 = 65   5 = 35

13. EF = 9 23. 1 = 90, 2 = 90, 3 = 90, 4 = 90, 5 = 46, 6 = 34

15. EF = 9    7 = 56, 8 = 44, 9 = 56, 10 = 44

17. 1 = 90, 2= 45, 3 = 45 28. x = 12 30. AD = 4, EF = 9, BC = 14

32. EF = 1, CD = 6, HG = 11

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Simplifying Radicals

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6.7 Polygons in the Coordinate Plane

#1 Distance Formula

#2 Midpoint Formula

#3 Slope Formula

Use Distance formula:• to determine if sides are congruent

• diagonals are congruent

Use Midpoint formula:• to determine midpoints of a side

• to determine whether diagonals bisect each other

Use Slope Formula:• to determine opposite sides are parallel

• to determine whether diagonals are perpendicular

• to determine whether sides are perpendicular

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A

B

C

Classify the Triangle as scalene, isosceles, or equilateral.

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Find the appropriate information that proves the quadrilateral is the indicated figure.

Rhombus

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Graph and label the quadrilateral with the given vertices, and determine the most precise name for the quadrilateral.

P(­5, 0) Q(­ 3, 2), R(3, 2) S(5, 0)

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Classifying Polygonstriangle ­ a polygon with 3 sidesquadrilaterals ­ any polygon with 4 sidespentagon ­ a polygon with 5 sideshexagon ­ a polygon with 6 sidesheptagon ­ a polygon with 7 sides (sometimes a septagon)octagon ­ a polygon with 8 sidesnonagon ­ a polygon 9 sidesdecagon ­ a polygon with 10 sideshendecagon ­ a polygon with 11 sidesdodecagon ­ a polygon with 12 sides

regular ­ all sides and angles are congruentequiangular ­ all angles are congruentequilateral ­ all sides are congruent

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A

B

C

Classify the Triangle as scalene, isosceles, or equilateral.

Find the appropriate information that proves the quadrilateral is the indicated figure.

Rhombus

Graph and label the quadrilateral with the given vertices, and determine the most precise name for the quadrilateral.

P(­5, 0) Q(­ 3, 2), R(3, 2) S(5, 0)

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#1 Distance Formula

#2 Midpoint Formula

#3 Slope Formula

Use Distance formula:• to determine if sides are congruent

• diagonals are congruent

Use Midpoint formula:• to determine midpoints of a side

• to determine whether diagonals bisect each other

Use Slope Formula:• to determine opposite sides are parallel

• to determine whether diagonals are perpendicular

• to determine whether sides are perpendicular

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6.7 Practice Name  Date

Classify the triangle as scalene, isosceles, or equilateral.1. 2. 3.

Find the appropriate information that proves the quadrilateral is the indicated figure.

4. parallelogram 5. rectangle 6. square

7. Graph and label the quadrilateral with the given points S(0,0) T(4, 0) U(3, 2) V(­ 1, 2) and determine the most precise name for the quadrilateral.

Give the most precise name and description for each polygon.

8. 9. 10.

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