Two angles are complementary. One angle measures 27º. Find the measure of the other angle. Show your work and/or explain your reasoning.
Question 2
2.
Two angles are supplementary. One angle measures 116º. Find the measure of the other angle. Show your work and/or explain your reasoning.
Question 3
3.
These two lines intersect. Angle a measures 44º. Find the measure of angle b. Show your work and/or explain your reasoning.
2
Question 4
4.
The angles in the figure below form a straight angle. Write and solve an equation to find the value of w.
Show your work.
Equation (1 point)
Answer (1 point)
2
2
1
1
1
Question 9
9.
8a. Naya constructed a triangle with one 50º angle, a side measuring 4 cm, and another side measuring 7 cm.
a) Construct a triangle that could be Naya's triangle.
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2
Question 5
5.
Lines l and m are perpendicular. Find the value of x, the unknown angle measure.
Show your work.
Equation (1 point)
Answer (1 point)
Question 6
6.
Question 7
7.
Question 8
8.
Question 10
10.
Question 11
11.
Diego built a quadrilateral with side lengths 3 cm, 4 cm, 5 cm, and 6 cm.
a) Build a quadrilateral that could be the one that Diego built. (Show your work - 1 pt)
b) Can you be sure that you build a quadrilateral identical to the one that Diego built? (Multiple Choice - 1 pt)
Yes - if the four side lengths are 3 cm, 4 cm, 5 cm, and 6cm, then they must be equal.
No, the 4 cm side could be in between the 3 cm and 5 cm sides or the 3 cm and 6 cm sides or the 5 cm and 6 cm sides.
7a. Charity and Turell each drew a triangle with side lengths of 3 cm, 4 cm, and 6 cm.
Did Charity and Turell draw identical triangles?
Yes, you could turn, flip, and move Charity's triangle to match up exactly on top of Turell's triangle.
No, if you turn, flip, and move Charity's triangle, it will never match up exactly with Turell's triangle.
7b. Is there another triangle that Charity or Turell could have drawn using the same side lengths?
Yes, there are other ways to draw a triangle with side lengths 3 cm, 4 cm, and 6 cm.
No, three side lengths determine a unique triangle. No matter how it is flipped, turned, or moved it will always be identical to both Charity and Turell's triangles.
8b. Can you be sure that you constructed a triangle identical to the one Naya constructed?
Yes, if two sides and an angle match up, then they must be identical triangles.
No, since the problem doesn't specify whether or not the angle is between the two given side lengths, it could be a different triangle.
9. Is it possible to construct a triangle that has sides measuring 5 cm, 8 cm, and 15 cm? (Multiple choice - 1 point)
If so, draw an example and if not, show why in the Show your work section below. (Show your work - 1 point)
