Warm up

Write the equation of the line that:

1. Is parallel to y = 3 and goes through the point (2, -4)

2. Is perpendicular to y = 2x + 6 and goes through (-4, 5)

y = -4

y = -1/2x + 3

Review the HW

Question of the Day

EOC Review

Pythagorean Theorem2 2 2leg leg hyp

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 Round to the nearest tenths.

Worksheet

11, yx 22 , yx

2 22 1 2 1( ) ( )D x x y y

The Distance Formula

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

D = 3.16

2122

12 )()(D yyxx

22 )43()12(D

22 )1()3(D

19D

10D

Example

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

2122

12 )()(D yyxx

22 )545()1040(D

22 )40()30(D

1600900D

2500D

D = 50

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

( ) ( )4 1 2 02 2

9 413

2122

12 yyxx

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

2122

12 yyxx

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

2122

12 yyxx

Classifying Trianglesby Sides

• Equilateral – 3 congruent sides

• Isosceles – 2 congruent sides

• Scalene – No sides congruentCongruent = Same Distance

Classwork / Homework

Triangles Task

ConclusionsParallel• Same slope

means sides are parallel

• Opposite reciprocal slopes mean perpendicular segments (90)

Distance• Same distance

means segments are congruent