The Ithaca High School Geometry Blog

Here are answers to the practice exam I gave you on the last day of class.  Let me know if you think I made a mistake–I’m human, after all!

1. 3       2. 2       3. 2       4. 1       5. 2       6. 2       7. 4

8. 4       9. 1     10. 3     11. 3     12. 1     13. 4     14. 3

15. 3     16. 2     17. 4     18. 2     19. 2     20. 1     21. 2

22. 2     23. 4     24. 3     25. 2     26. 3     27. 4     28. 3

Now for the free-response questions:

29.  (x + 2)↑2 + (y – 4)↑2 = 2.25
30.  perimeter = 100
31.  perimeter = 30
32.  3 √2
33.  12
34.  (1, 0)
35.  y = -x + 1
36.  36
37.  27 π
38.  For this proof, show that triangles PAL and REG are similar (they are congruent, actually), then state that corresponding sides of similar triangles are proportional, then cross-multiply to convert the proportion into the given multiplication.

You probably noticed that I had to fudge a couple of the mathematical figures, due to the limitations of this weblog (and my limitations in figuring out how to overcome them!)

Other notes and comments:

• The proof that you will have to do for your exam is, I think, easier than the one shown here.
• This practice test did not include andy coordinate geometry proofs, which you need to be able to do.
• You also need to know how to find the area of a regular polygon.
• You must be able to do constructions using compass and straightedge.  Refer to the packet I gave you in class last week.
• If I remember correctly, much of the class struggled with the angles in circles.  Might I politely suggest that would be a topic worth reviewing?

As demonstrated in this practice exam, knowledge of 30-60-90 triangles and 45-45-90 triangles and the ratio of their sides is beneficial, as is the Pythagorean Theorem. This practice exam did not test any trig.  We probably will.

Review Session:  Monday a.m. from 9 until about 11:30.  You do not have to be there the entire time, but you will need a pass to get in.

Exam:  Monday afternoon at 12:45 in the gym.  Be there or be a quadrilateral that is both a rhombus and a rectangle!

You may return your textbook now, or use it to study from and turn it in on Thursday or the day of your exam.

Here are the planned review assignments and daily topics:

Friday, 6/6/08:

Review #1 worksheet

Monday, 6/9/08:

Topics in class:  trigonometry and right triangles, circles

Review #2 worksheet

Tuesday, 6/10/08

Topic in class:  constructions

Review #3 worksheet

Wednesday, 6/11/08

Topics in class:  coordinate geometry proofs, diagonals, area of regular polygons

Review #4 worksheet

Thursday, 6/12/08

Topics in class:  everything else

Practice Exam, with answers

Assignment for Thursday, June 5, 2008

Due Friday, 6/6/08

STUDY

Test tomorrow on Solid Figures:  Surface Areas and Volumes

Know your formulas!

Bring your calculator (duh!)

Assignment for Wednesday, June 4, 2008

Due Thursday, 6/5/08

Worksheet 12.7 Practice A #1-10, 15, 18-21, 23

Tomorrow:  review/summary of chapter

Chapter Test on Friday covering Surface Area and Volume

Assignment for Tuesday, June 3, 2008

Due Wednesday, 6/4/08

Worksheet 12.6 Practice A #6-8, 16, 20-22, 26, 29, 33

Tomorrow:  Quiz tomorrow on Volume of prisms, cylinders, pyramids, and cones.  Surface area and volume of spheres will NOT be on this quiz.  You will just have to wait for Friday’s chapter test to show what you know about those.

Assignment for Monday, June 2, 2008

Due Tuesday, 6/3/08

Worksheet 12.5 Practice A on volume of pyramids and cones.  You may do the entire sheet, but I am only assigning problems #1-4, 6-16 even, 9, 17, 20, and 25.

Notice that the fraction for two-dimensional pyramid and cone measurements (area of triangles, surface area) is 1/2, while the fraction for three-dimensional pyramid and cones measurements (volume) is 1/3.  Hmmm: 2-D is 1 over 2, 3-D is 1 over 3.  Coincidence?  I think not.

Tuesday we cover spheres with surface area, then determine the volume of that which we have covered.

Wednesday we look at ratios of lengths, areas, and volumes so more.

Also on Wednesday, a quiz covering volume of prisms, cylinders, pyramids, and cones.

Thursday is for review, then Friday we’ll take our last chapter test of the year.  Yippee!