Chapter 3

Name the following angles: 5 6

Corresponding Angles (corr s )

If lines are parallel, then corr s are _______

If lines are parallel, then corr s are congruent: ( (

Name the following angles: 1 2

Alternate Interior Angles (alt-int s )

If lines are parallel then alt-int s are ________

If lines are parallel then alt-int s are congruent: ) (

Name the following angles: 1 2

Same-Side Interior Angles (s-s int s )

If lines are parallel then s-s int s are _________

If lines are parallel then con-int s are supplements: 1 2 m 1 + m 2 = 180 0

A(n) __________ triangle has no congruent sides

A scalene triangle has no congruent sides

A(n) _________ triangle has at least 2 congruent sides.

An isosceles triangle has at least 2 congruent sides.

The congruent sides of an isosceles triangle are called _________.

The congruent sides of an isosceles triangle are called legs.

A(n) __________ triangle has 3 congruent sides

An equilateral triangle has 3 congruent sides

A(n) __________ triangle has 3 angles less than 90 0

An acute triangle has 3 angles less than 90 0

always, sometimes or never? An equilateral triangle is __________ an isosceles triangle

An equilateral triangle is always an isosceles triangle

always, sometimes or never? An isosceles triangle is ________ an equilateral triangle

An isosceles triangle is sometimes an equilateral triangle

Name the sides:

leg hypotenuse

The sum of the interior angles of ANY triangle = ________ 0

The sum of the interior angles of ANY triangle = m 1 + m 2 + m 3 = 180 0

m 4 = ______ + _______

m 4 = m 1 + m

Is the following polygon convex or concave?

concave

Always, sometimes or never? 1. A triangle is ___________ convex. 2. A quadrilateral is __________ convex.

1. A triangle is always convex. 2. A quadrilateral is sometimes convex:

Number of SidesName of Polygon

Number of SidesName of Polygon 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 8 Octagon

A regular polygon is _________ and ___________.

A regular polygon is equilateral and equiangular

The INTERIOR angles of a convex polygon total ________.

The INTERIOR angles of a convex polygon total (n – 2)180 number of sides

The EXTERIOR angles of a convex polygon total ________ 0

The EXTERIOR angles of a convex polygon total 360 0

Find the slope using the Slope Formula: A (x 1, y 1 ) B (x 2, y 2 )

y 1 – y 2 rise x 1 – x 2 run Slope (m) =

State the slope: y = 1/3x + 4

Slope = 1/3

Parallel lines have the _______ slope.

Parallel lines have the same slope.

The slope of horizontal lines is ___________

The slope of horizontal lines is 0: rise run == 0 0 )( Slope

The slope of vertical lines is ________________

The slope of vertical lines is undefined: rise run = undefined )( Slope = 0

The slopes of perpendicular lines are _______________.

The slopes of perpendicular lines are opposite reciprocals. (Ex 4/5 and –5/4)

Graph y = 2/3x - 1

x y..

Find the slope and y-intercept: 4x – 5y = 20

4x – 5y = 20 -5y = -4x + 20 y = 4/5x - 4 slopey-intercept

Write the equation of a line with slope 2/3 and passing through (-1, 4)

y – y 1 = m (x – x 1 ) y – 4 = 2/3 (x + 1) y – 4 = 2/3x + 2/3 3y – 12 = 2x + 2 2x – 3y = -14 Standard Form

Chapter 3 Constructions 1.Construct a perpendicular through a point on a line 2.Construct a perpendicular through a point NOT on a line 3.Construct a parallel through a point not on a line