Drawing Triangles with Given Conditions

A polygon with three side lengths and three angles is called a...

• polygon

• triangle

• identical copies

• rhombus

What is a triangle in which all three angles measure less than 90 degrees?

• acute triangle

• obtuse triangle

• right triangle

• prism

Which is a triangle with one angle that measures more than 90 degrees?

• acute triangle

• obtuse triangle

• right triangle

• equilateral triangle

Find the missing angle.

• 55

• 90

• 125

• 305

Which of these conditions can create a triangle?

• m∠A=90°, m∠B=40°, m∠C=60°

• m∠A=30°, m∠B=80°, m∠C=70°

• AB=3cm, BC=4cm, CA=10cm

• AB=8cm, BC=6cm, CA=9cm

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• Right triangle

Which sets of conditions guarantee a unique triangle? Choose all that apply.

• Angle measures of 35°, 65° , and 80°

• Side lengths of 6 inches, 5  inches, and 4 inches

• Side lengths of 4 cm and 6 cm with an included angle measure of 45°

• Angle measures of 20° and 50° with an included side that is 3 inches long

• Angle measures of 30° and 90° with a non-included side that is 10 cm long

How many triangles does this make?

• One unique triangle

• More than one triangle

• No triangles

Consider the given conditions for a triangle and determine whether they guarantee a unique triangle by selecting true or false.

• True

• False

Which set of measurements below would produce many triangles?

• 6 in, 4 in, 16 in

• 45 degrees, 45 degrees, 90 degrees

• 12 in, 8 in, 5 in

• 30 degrees, 45 degrees, 110 degrees