CHAPTER 3 TEST

3-1 PROPERTIES OF PARALLEL LINES

You need to identify alternate interior angles, same-side interior angles, corresponding angles, alternate exterior angles, and same-side exterior angles.

You also need to be able to calculate the measurements of angles when given parallel lines and angles based on the angles listed above.

Practice problems Page 131 1-7all, 11-16all, 23-25all

3-2 PROVING LINES PARALLEL

Practice problems Page 137 5-8all, 10-21all, 24-26all, 28-31all

3-3 PARALLEL & PERPENDICULAR LINES

Parallel lines have the same slopes and different y-intercepts. They will never cross each other.

Perpendicular lines cross at a right angle and their slopes when multiplied equal -1. Their slopes are opposite reciprocals of each other.

Practice problems Page 143 4-10all

3-4 PARALLEL LINES & THE TRIANGLE ANGLE-SUM THEOREM The total degree of any triangle is always 180º You need to know how to apply this theorem is

given a triangle with an angle(s) missing. There are 4 different types of triangles based

on the type of angles: equiangular, acute, right, and obtuse. There are 3 different types of triangles based on the sides: scalene, isosceles, and equilateral.

You need to know the exterior angle theorem and how to apply it. The exterior angle equals the sum of the two remote interior angles.

Practice problems Page 150 1-15all, 18-20all, 23-26all

3-5 THE POLYGON ANGLE-SUM THEOREMS You need to know the names of the polygons

listed on page 158 in your book. You also need to know the names of a 7, 11, 50 and 100 sided polygon.

Know how to calculate the total sum of angles in a polygon (n – 2)180

For the degrees of AN angle divide it by the number of sides

Remember that ALL polygons have 360°on their exterior angles. If you want to know how many degrees there are at one exterior angle divide it by the number of sides.

Practice problems Page 161 11-25all, 32-36all, 40-43all, 47-49all

3-6 LINES IN THE COORDINATE PLANE You need to know the slope-intercept

form of a line y = mx + b and how to graph using it.

Know how to put an equation into standard form of a line Ax + By = C and graph using it.

Know how to put something into point-slope form of a line (y – y ) = m(x – x )

If given two points you should be able to calculate the slope and put it into point-slope form of a line.

Practice problems Page 169 1-37all, 42-44all

3-7 SLOPES OF PARALLEL & PERPENDICULAR LINES Parallel lines have the same slope. They will

never intersect as long as they have different y-intercepts.

Perpendicular lines have slopes that are the opposite reciprocals of each other. If you multiple the slopes their product will be -1.

You need to be able to write an equation for a perpendicular line if given a line and a point. It needs to be in point-slope form of a line.

Practice problems Page 177 6-15all, 20-22all, 25-28all

3-8 CONSTRUCTING PARALLEL & PERPENDICULAR LINES You will be doing construction on the

assessment. You will be required to construct the following: 1) parallel lines

2) perpendicular lines from a point on a line3) perpendicular line from a point not on the line4) other type of shapes based on these constructions

Practice problems Page 184 1-4all, 8-13all, 17- 21all