Post date: Dec 05, 2012 1:21:32 AM
Our next test is on 12/5 (B Day) and 12/6 (A Day) and will cover Chapters 4-3, 4-4, 4-5 and 4-6. I will be available for tutoring today after school and Wednesday before school. I will be off campus on Thursday for a training but Mr. Funk will be my substitute and will administer the test for A Day.
Students should have received a copy of the review packet in class and many have had time to work on it already. Here are some hints for the problems in the packet.
1. Assume the triangles are congruent. Congruence statement means which two triangles are congruent. Vertices should match.
2. Put an S next to congruent sides and an A next to congruent angles and the postulate should be obvious.
b. Notice there are parallel lines. Do you see any alternate interior angles? What about the reflexive property?
c. These are right triangles, think HL where H is the hypotenuse and L is a leg. Reflexive property will also help here.
f. Do you see any vertical angles?
3. They told you the triangles are congruent so you don't have to prove it. You may want to redraw the triangles to see the congruencies.
a. Actually need the overlapped triangles for the segments.
5. See class notes from corresponding parts of triangles.
6. Put an S next to congruent sides and an A next to congruent angles. Look at the postulate and you should be able to see what you're missing.
d. It would help to redraw these as right triangles. Notice they want a hypotenuse and a leg. There is more than one acceptable answer.
7-9. Use the word bank. You should do fine but e-mail me with questions or come to tutoring.
10. Teacher error on <KFR is congruent to <ORF. Change answer to GIVEN. The rest should work out.
11. Use the congruence statement to mark the angles correctly.
Fill in the angles on both triangles. Make sure the letters match according to the congruence statement at the start of the problem. Make the congruence marks.
12. Mark congruencies. Put the expressions in for the angles. Are any congruent? Or do you have the three angles of a triangle? Set up the appropriate equation.
13. Draw the triangles. Like number 12.
14. Graph the triangles. If you need to, calculate the distance between points to find the lengths of the sides. It should be obvious which parts go together. Write the congruence statement by saying which triangle is congruent to which triangle.
15. Collinear means on the same line. Plot the points. Use the slope to find other points on the line. This is a lot like the question that was on the last two spiral sections of the test.
16. The slope of the line is 1/4. If the new line is perpendicular, what should the new slope be? Use the new slope and the point-slope form to find the equation. You will need to finish solving for y to get in slope-intercept form.
17. Do you see any corresponding angles? Should corresponding angles be congruent or supplementary. Make an equation and solve for x.
18. Draw the mirror so it is on the ground and leaning against the wall. It should look like a right triangle with a base of 12 inches and a hypotenuse of 72 inches. Use Pythagorean Theorem.
19. Draw an isosceles triangle. The vertex angle is usually different than the two base angles. Notice <D is congruent to <F. Use this to set up an equation and solve for X. Now you can find the measures of <D and <F. Now use the sum of angles in a triangle is 180 to find <E.