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Math Quiz grade 8
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Problem Solving. Find the measure of ∠𝑆𝑀𝑅.
105 degrees
True or False. If two parallel lines are cut by a transversal, then the same-side interior angles are always equal.
False
True or False. The exterior angle of a triangle is always smaller than one of the opposite interior angles.
False
True or False. In an isosceles triangle theorem, If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
True
True or False. If one angle of a triangle is 120°, then the other two angles must be smaller than 120°.
True
True or False. The sum of the two shorter sides of a triangle must always be greater than the longest side.
True
True or False. If two triangles have two equal sides, the one with a larger included angle will have the longer third side.
True
True or False. When opening a pair of scissors, the distance between the tips of the blades increases as the angle between the blades increases.
True
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.
What does the Same-Side Interior Angles Theorem state?
c. Same-side interior angles are always supplementary.
If one vertical angle measures 65°, what is the measure of its opposite vertical angle?
a. 65°
If two parallel lines are cut by a transversal, which of the following pairs are always supplementary?
b. Same-side interior angles
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°
Which of the following is not possible for the sides of a triangle?
b. 6 cm, 2 cm, 3 cm
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
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.
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.
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.
The Exterior Angle Inequality Theorem states that an exterior angle of a triangle is always ________.
greater than either of the two remote interior angles.
IDENTIFICATION. What do you call a line that passes through two lines in the same plane at two distinct points?
Transversal line
IDENTIFICATION. Which of the following best describes two or more lines that are always the same distance apart and never cross?
Parallel lines
IDENTIFICATION. These are lines that intersect at a 90-degree angle.
Perpendicular lines
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