Honors Geometry Section 2.1 PerpendicularityNotes.

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Presentation transcript:

Honors Geometry Section 2.1 PerpendicularityNotes

Perpendicularity Two lines, rays, or segments that intersect to form right (or 90  ) angles are called perpendicular lines The symbol used for perpendicular is  The symbol used to show lines are not perpendicular is  We CANNOT ASSUME perpendicularity

Perpendicularity Watch this intriguing video on perpendicularity

Sing Along

Oblique Lines Oblique Lines – intersecting lines that do not form right angles Can you think of a well-known street that is not perpendicular to its intersecting streets??

Broadway Why does Broadway cut diagonally across the New York City street grid?? Find out for Monday for extra credit!

Perpendicular, Oblique, or Neither? A B CD E A.) PerpendicularB.) ObliqueC.) Neither

Perpendicular, Oblique, or Neither? 75  G I A N T A.) PerpendicularB.) ObliqueC.) Neither

Perpendicular, Oblique, or Neither? G C E D F A.) PerpendicularB.) ObliqueC.) Neither

A bit of review….. What formula do we use to determine: The perimeter of a rectangle? P = 2l + 2w The area of a rectangle? A = lw

Coordinate Grid Vocabulary Horizontal axis => x-axis Vertical axis => y-axis Origin (0, 0) Ordered pair (x, y) x y

Coordinate Grid x y

What are the coordinates of D? D = (-3, -2) x y B (6, 8) C (6, -2) D A (-3, 8) Given: ABCD is a rectangle

Coordinate Grid What is the perimeter of the rectangle? P = 38 units x y B (6, 8) C (6, -2) D (-3, -2) A (-3, 8) Given: ABCD is a rectangle

Coordinate Grid What is the area of the rectangle? A = 90 units 2 x y B (6, 8) C (6, -2) D (-3, -2) A (-3, 8) Given: ABCD is a rectangle