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Constructing Triangles Worksheet
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Constructing Triangles Worksheet
📐 Part 1: Triangle Construction Knowledge
1. What three pieces of information do you need to construct a triangle using SSS (Side-Side-Side)?
Three angles
Three side lengths
Two sides and one angle
One side and two angles
2. Which construction method requires two sides and the included angle?
SSS
SAS
ASA
AAS
3. What tools do you need for triangle construction? (Select all that apply)
Ruler
Protractor
Compass
Calculator
4. When constructing a triangle with sides 5cm, 7cm, and 3cm, which side should you draw first?
The shortest side (3cm)
The longest side (7cm)
The middle length side (5cm)
It doesn't matter
5. Complete this sentence: "When using a compass to construct a triangle, the compass opening represents the _____________ of the triangle."
Answer: _________________________
✏️ Part 2: Construction Steps and Problem Solving
6. List the steps to construct a triangle with sides 6cm, 8cm, and 10cm using the SSS method:
7. You need to construct triangle ABC where AB = 7cm, angle BAC = 45°, and AC = 5cm. What construction method will you use and why?
8. Can you construct a triangle with sides 2cm, 3cm, and 8cm? Explain your answer using the triangle inequality rule.
9. In the space below, construct triangle PQR where PQ = 4cm, QR = 6cm, and angle PQR = 60°. Show all construction marks.
10. After constructing the triangle in question 9, measure and record the length of side PR: _______ cm
11. Explain why it's important to leave construction marks visible on your triangle drawings.
12. If you were given angle ABC = 50°, angle BCA = 70°, and side BC = 8cm, what would be the measure of angle BAC? Show your working.
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