The Exterior Angle Inequality Theorem states that an exterior angle of a triangle is always ________.
greater than either of the two remote interior angles.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be__.
b. greater than the third side.
Carla wants to build a triangular flower bed using three wooden planks measuring 3 meters, 5 meters, and 9 meters. Will she be able to form a triangle?
c. No, because the sum of the two shorter sides is not greater than the longest side.
Two construction workers are setting up two ladders of equal length against two walls at different angles. One ladder is positioned at a steeper angle than the other. What can be said about the height each ladder reaches on the wall?
a. The ladder at the steeper angle reaches a higher point on the wall.
A construction worker is designing a triangular frame for a roof. The lengths of two sides are 5 meters and 8 meters. Which of the following could be the possible length of the third side?
d. 10 m
Which of the following is not possible for the sides of a triangle?
b. 6 cm, 2 cm, 3 cm
In a triangle, one of the exterior angles is 110°. Which of the following could be the two opposite interior angles?
c. 40° and 70°
If two parallel lines are cut by a transversal, which of the following pairs are always supplementary?
b. Same-side interior angles
If one vertical angle measures 65°, what is the measure of its opposite vertical angle?
a. 65°
What does the Same-Side Interior Angles Theorem state?
c. Same-side interior angles are always supplementary.
A hiker is using three sticks to set up a triangular tent. The sticks measure 5 ft, 12 ft, and 13 ft. Will they form a triangle?
a. Yes, because 5 + 12 > 13.
