7th Grade Drawing Triangles from Given Conditions Quiz: 10 Questions with Explanations

A 5, 6, 10B 2, 3, 6C 4, 4, 8D 1, 2, 4

Only 5, 6, 10 satisfies \(5 + 6 = 11 > 10\). The others fail or give exactly equal sums.

A \(130^{\circ}\)B \(40^{\circ}\)C \(50^{\circ}\)D \(90^{\circ}\)

\(180 – 45 – 85 = 50\). The value 130 is the sum of the other two.

A 3B 8C 4D 16

The third side is greater than 4 and less than 16, so 8 works.

A NoneB TwoC Infinitely manyD Exactly one

Three sides that satisfy the triangle inequality give exactly one shape and size.

A Exactly oneB Infinitely manyC Exactly twoD None

The angles add to 180, and any size triangle can have them.

A \(4 + 8\) is less than 4B all sides must be differentC \(4 + 4\) is not greater than 8D 8 is not a multiple of 3

Two sides that add up exactly to the third lie flat.

A Sides 6 in and 9 in with a \(40^{\circ}\) angle between themB Angles of \(40^{\circ}\), \(60^{\circ}\), \(80^{\circ}\)C A side of 6 in onlyD Angles that add to 190

Two sides and the angle between them fix the triangle.

A \(40^{\circ}\)B \(80^{\circ}\)C \(50^{\circ}\)D \(100^{\circ}\)

\(180 – 100 = 80\), and \(80 \div 2 = 40\).

A 3B 5C 4D 10

The side is greater than 4 and less than 10: 5, 6, 7, 8, 9.

A They add to 150B A triangle can’t have an obtuse angleC All three angles must be equalD They add to 190, not 180

\(100 + 50 + 40 = 190\).