Download Ws #8

Assignment #8 / Term 1
Secondary 2 Honors
Do all work on your own paper unless specified on worksheet.
List the side lengths from shortest to longest.
1.
2.
3.
4. Identify the interior angles, the
exterior angle, and the remote
interior angle of each triangle.
5. Solve for x
6. Solve for x, then give the angle
measures.
7. Solve for x, then give the angle
measures.
8. Solve for x, then give the angle
measures.
9. Solve for x, then give the angle
measures.
10. Complete the blanks using the
Exterior Angle Inequality Theorem.
11. Complete the blanks using the
Exterior Angle Inequality Theorem.
12. Without measuring the angles,
list them from smallest to biggest.
∠𝑃𝑄𝑅 𝑖𝑠 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 ∠______
∠_______ 𝑖𝑠 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 ∠𝑀
∠𝑃𝑄𝑅 𝑖𝑠 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 ∠______
∠______ 𝑖𝑠 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 ∠𝑁
Determine whether it is possible to form a triangle using each set of segments with the given measurements.
Explain/show your reasoning. If possible, state whether the triangle is scalene, isosceles, or equilateral.
13. 3 in, 3 in, 5 in.
14. 7.4 cm, 9.8 cm, 8.1 cm
15. 31 cm, 18 cm, 12 cm
16. 8 ft, 8 ft, 8 ft.
17. 110 in, 202 in, 92 in
18. 6 cm, 8 cm, 10 cm
19. (Review Question from Sec 1 Hon) Is the triangle in #18 a right triangle?
20. Write an inequality to express
possible lengths of the unknown
side of the triangle.
21. Write an inequality to express
the possible lengths of the
unknown side of the triangle.
22. List the angles and sides in
order from least to greatest.
23. You are building a triangular pen for baby ducks. The sides of the pen will be made from lumber you have left
from other projects. You have two 12-foot boards, one 14-foot board, one 8-foot board, one 4-foot board, one 3foot board, and one 2-foot board. Use this information to answer parts (a) through (f ).
a. Suppose you choose the 14-foot board and the 4-foot board. Of the boards you have left over, what
is the longest board that can be used for the third side of the pen? Explain.
b. Suppose you choose a 12-foot board and the 8-foot board. Of the boards you have left over, what is
the shortest board that can be used for the third side of the pen? Explain.
c. Suppose you choose a 12-foot board and the 4-foot board. Of the boards you have left over, which
board(s) can be used for the third side of the pen? Explain.
d. How many different triangular pens can be formed using the 4-foot board? List the side lengths of
each possible triangular pen.
e. If you only have three boards and their lengths are 5 feet, 8 feet, and 4 feet, can you form a triangular
pen? Explain.
f. Suppose you decide to build a pen with side lengths of 14 feet, 12 feet, and 8 feet. Which angle has the
greatest measure? Which angle has the least measure? Explain.
Review:
24. Write the equation of the line, then graph the line that passes through the points (-7, 4) and (-10, 4)
25. Solve the system of equations: 3x + 2y = 10 and x – 4 y = -2
26. Simplify: 2 45  80
27. Simplify:
75x 3 y 4
28. Factor: 15a 3b 2  5a 2b 2
29. Graph the exponential function: y  2 x 2  5 Hint: show 3 exact points and the asymptote
30. Given the following points: (-5, 0) and (4, -6). Find the following: The midpoint, the distance between the
points.
31. Give an appropriate name for the angle pair 6 and 8.
If the measure of angle 6 can be expressed by (13x - 5)
degrees and the measure of angle 8 can be expressed by
(4x + 40) degrees. Solve for x.
Then record the measure of all angles in the diagram.