Fall Review Worksheet

ACP Topics to review

The ACP Test is closed notes!  Before you take the Test this week, be sure to review the following topics:

1.  Make conjectures - remember when we describe what we see.  Be sure to know these words and what they look like:  point, line, plane, skew lines, collinear, coplanar, supplemental, linear pair, vertical lines, complementary, segment.

2.  Constructions - what they look like, the order to make them, and what they do.  Remember the angle bisector, segment bisector, copying angles, copying line segments, constructing perpendiculars on and off the line.

3.  Patterns - how to get the equation that describes the pattern.  We did this in class last Thursday and Friday.

4.  Slopes and equations of lines.  Look at this blog's entries on this topic.  Make sure you can calculate slope, find equations of parallel and perpendicular lines.

5. Use the formulas for slope, midpoint, distance.  Remember that if you get asked for length, you need to use the distance formula!  And if you get a perimeter question, that you need to calculate the distance of each side and then add them up.

6. Transversal relationships - remember the corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles, and consecutive exterior angles.

7.  Triangle congruence - be sure to be able to determine which one is used:  SSS, SAS, ASA, AAS.

8. Transformations - remember to multiply when you see the word "scale factor"

9. Similarity - use those proportions and ratios!

10.  Proofs.  Review that proofs packet.

Review on Conditional Statements

Be sure to know your conditional statements!

Each sentence can be re-written in "If __(hypothesis)_____, then ___(conclusion)_________" form.

Let's look at this sentence:  "Scoring more than 70% on the test will let you pass"

First, identify the conclusion:  "you pass"
Then identify the hypothesis:  "scoring more than 70% on the test"

Next, put them into an If-Then statement:   "If  scoring more than 70% on the test Then you pass"

Note that this sentence doesn't make sense, nor does it have good English grammar.  So we change and add some words for it to makes sense.  Here's what it becomes:

 "If you score more than 70% on the test, then you will pass."

This If-Then statement is called the Conditional Statement.  We can rearrange the hypothesis and conclusion as well as negate them to have the 4 types of Logic statements in Geometry.

Conditional:  

 "If you score more than 70% on the test, then you will pass."

Inverse Statement:

 "If you do NOT score more than 70% on the test, then you will NOT pass."  <--- notice the addition of the word NOT, meaning they got negated.

Converse Statement:

 "If  you will pass, then you score more than 70% on the test."  <--- notice the hypothesis and conclusion got swapped.

Contrapositive Statement"

 "If  you will NOT pass, then you will NOT score more than 70% on the test."  <-- notice that the hypothesis and conclusion got swapped AND each part got negated by using the word NOT.

Be sure you can remember which is which.

Review on Perpendicular Lines Equations

Review of Parallel Lines Equations

Now you try: 

Find an equation of the line that passes through (–1, –3) and is parallel

to y = 2x + 6.