Take this ten-question multiple-choice quiz to practice constructing triangles from Common Core standard 7.G.A.2. Each question has exactly one correct answer. The explanation after each question shows the inequality or angle sum and names the most common mistake.
Which set of lengths can be the sides of a triangle?
Two sides of a triangle are 6 in. and 10 in. Which length is possible for the third side?
Which set of measures can be the three angles of a triangle?
Two angles of a triangle measure \(52^{\circ}\) and \(67^{\circ}\). What is the third angle?
One side of the angle is on the 0 line at the right. What is the measure of the angle?
Which measurements always give exactly one triangle?
Both triangles have angles of \(40^{\circ}\), \(60^{\circ}\), and \(80^{\circ}\). Which statement is true?
The sides of a triangle are 9 cm, 14 cm, and \(x\) cm. What is the greatest whole-number value of \(x\)?
Angle A is \(30^{\circ}\), \(AC=12\text{ cm}\), and \(BC=7\text{ cm}\). How many triangles ABC can be drawn?
Priya has two sticks that are 8 in. long and one stick that is 16 in. long. Can she form a triangle with all three?
🎉 Quiz complete!
Remember:
- Triangle inequality: the sum of any two side lengths must be greater than the third side length.
- The three angles of a triangle always add up to \(180^{\circ}\).
- Three sides, two sides with the angle between them, or two angles with a side give exactly one triangle when a triangle is possible.
- Three angles alone give infinitely many triangles that have the same shape but different sizes.
- Two sides and an angle that is not between them can give no triangle, one triangle, or two triangles.
See every chapter on the Grade 7 math page.