NC.7.G.2 (Version 2)

The right triangle has an angle measure of 60°. What is the measure of the other angle in the triangle?

Mathematical Equivalence

ON

A triangle has two sides that measure 8 ft and 11 ft and an included angle of 100°. Which statement must be true about this triangle?

• The triangle is a right triangle

• The third side is between 3 ft and 19 ft.

• The third side is between 12 ft and 16 ft.

• The third side is less than 5 ft.

If two sides of a triangle are 5 inches and 12 inches long, the third side of the triangle could measure _____.

• 6 inches

• 7 inches

• 17 inches

• 18 inches

In triangle DEF, segment DF measures 3 m, segment DE measures 6 m, and segment EF measures 5 m. Place the angles of the triangle in order from smallest angle to largest angle.

• Angle D

• Angle F

• Angle E

Michael is designing a triangular garden. One side is 12 units long, and another side is 7 units long. What could be the length of the third side of the garden?

• 4 units

• 6 units

• 18 units

• 20 units

Which set of measurements forms a unique triangle?

• A triangle with angle measurements of 40°, 50°, and 90°.

• A triangle with a 9 km side, an 18 km side, and an included 359° angle.

• A triangle with a 7 km side, a 11 km side, and an included 75° angle.

• A triangle with angle measurements of 30°, 70°, and 80°.

David has 3 strips of wood that measure 7 meters, 7 meters, and 12 meters. What type of triangle can David create?

• no type of triangle

• a scalene triangle

• an isosceles triangle

• a right triangle

One side of a triangle measures 13 km. Another side of the same triangle measures 7 km. Which inequalities represent all possible lengths of the third side, x?

• x > 6 and x < 20

• x ≥ 6 and x ≤ 20

• x > 7 and x < 13

• x ≥ 7 and x ≤ 13

Ms. Lee asked her students to use three sticks to form triangles. Sarah has sticks that measure 6 meters, 6 meters, and 10 meters. How many triangles can Sarah create with her 3 sticks?

• infinitely many

• one

• two

• none

If two angles of a triangle are 100° and 30°, what kind of triangle is it?

• acute triangle

• obtuse triangle

• right triangle