Warm up Solve 1. 12 – 6r = 2r + 36 2. 3k – 5 = 7k + 7 3. 2(x + 4) = 6x r = -3 k = -3 x = 2.

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Presentation transcript:

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2

Pythagorean Theorem

Pythagorean Theorem Word Problems A square has a diagonal with length of 20 cm. What is the measure of each side? Round to the nearest tenths. x = 14.1 cm

Pythagorean Theorem Word Problems A 25 foot ladder is leaning against a building. The foot of the ladder is 15 feet from the base of the building. How high is the top of the ladder along the building? Round to the nearest tenths. x = 20 ft

Pythagorean Theorem Word Problems Ashley travels 42 miles east, then 19 miles south. How far is Ashley from the starting point? Round to the nearest tenths. x = 46.1 miles

Pythagorean Theorem Word Problems What is the length of the altitude of an equilateral triangle if a side is 12 cm? Round to the nearest tenths. x = 10.4 cm

Classwork Classwork Round to the nearest tenths. Worksheet

The Distance Formula

Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths. D = 3.16

Example Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths. D = 50

3. Find the distance between the points. Round to the nearest tenths.

4. Find the distance between the points. Round to the nearest tenths.

Classwork / Homework Classwork / Homework Quadrilaterals Task

Conclusions Parallel Same slope means sides are parallel Opposite reciprocal slopes mean perpendicular segments (90  ) Distance Same distance means segments are congruent