Pythagorean Theorem and Distance

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Presentation transcript:

Pythagorean Theorem and Distance Module A2- Lesson 1

Coordinate System Can be used to plot points and graph lines. Rectangular coordinate system (a set of two number lines) Horizontal line = x-axis Vertical line = y-axis

Coordinate System In quadrant I, x and y are positive In quadrant II, x is negative, but y is positive In quadrant III, x and y are negative In quadrant IV, x is positive, but y is negative The center, or intersection of the two axis is equal to (0,0)

Right Triangle A triangle that has one right angle, which measures 90 degrees and two angles that are acute and complementary (add to 90 degrees)

Hypotenuse The longest side of a right triangle. The side opposite of the right angle.

Leg The sides that form the right angle.

Pythagorean Theorem The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Find the Length of the Hypotenuse

Find the Length of a Leg

Distance Distance formula gives the distance between two points in a coordinate plane.

Use the Distance Formula