REVIEWER FOR PREFINALS in MATHEMATICS 8

Front

Liam is building a triangular tent with sides measuring 6 cm, 8 cm, and 10 cm. Which inequality theorem will he apply to determine the largest angle in the triangle?

Back

Side-angle

Front

Sofia is creating a triangular garden with angles measuring 40°, 60°, and 80°. Which side of the triangle is the longest based on the Angle-Side Inequality Theorem?

Back

The side opposite the 80° angle

Front

Can Mia form a triangular window with beams measuring 5 cm, 8 cm, and 12 cm?

Back

Yes, because the sum of any two sides is greater than the third.

Front

Mia, an aspiring architect, is designing a triangular window for a new house. She has wooden beams of different lengths and wants to ensure that they form a valid triangle before assembling them. She recalls the Triangle Inequality Theorem 3 (S₁ + S₂ > S₂), which states that the sum of any two sides of a triangle must be greater than the third side. What calculation should she do? Options: 6 + 9 > 14, 6 + 14 > 9, and 9 + 14 > 6

Back

6 + 9 > 14, 6 + 14 > 9, and 9 + 14 > 6

Front

According to the Exterior Angle Inequality Theorem, how does the exterior angle at a turn with interior angles 45° and 55° compare to the other two interior angles?

Back

It is greater than each interior angle.

Front

The two classrooms have the same type of doors that open outward. In the morning: Classroom A’s door is opened at a 75° angle Classroom B’s door is opened at a 45° angle Assuming both doors are of equal width, which door extends farther into the hallway?

Back

Classroom A’s door extends farther into the hallway than Classroom B’s door.

Front

Marie and Jake are both cutting paper using identical scissors. Sophia opens her scissors wider, while Jake keeps his scissors nearly closed. Based on the Converse of the Hinge Theorem, which statement is true?

Back

Marie’s scissor blades create a longer cut than Jake’s.

Front

Arrange the angles of a triangle with sides 5 m, 9 m, and 12 m from largest to smallest.

Back

∠C, ∠B, ∠A

Front

Arrange the sides of a triangle with angles 35°, 90°, and 55° from longest to shortest.

Back

Front

Possible length(s) for the other slanted side of a triangular tent with base 8 feet and one slanted side 5 feet, using the Triangle Inequality Theorem.

Back

3 < x < 13