Mathematics 8 4th Quarter Summative Test

In Triangle Inequality Theorem, which of the following describes the relationship of the sum of the lengths of any two sides to the length of its third side?

• greater than or equal to

• less than or equal to

• greater than

• less than

Which of the following theorems on triangle inequalities states that the measure of an exterior angle of a triangle is greater than the measure of either remote interior angle?

• Hinge Theorem

• Unequal Sides Theorem

• Triangle Inequality Theorem

• Exterior Angle Inequality Theorem

Which theorem states that if one side of a triangle is longer than a second, then the angle opposite the longer side is larger than the angle opposite the shorter side?

• Hinge Theorem

• Unequal Sides Theorem

• Triangle Inequality Theorem

• Exterior Angle Inequality Theorem

What theorem states that if two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle?

• Hinge Theorem

• Unequal Sides Theorem

• Triangle Inequality Theorem

• Exterior Angle Inequality Theorem

In Unequal Angles Theorem, which of the following describes the relationship of the side opposite the larger angles to the side opposite the second angle if one angle of a triangle is larger than the second angle?

• larger than

• smaller than

• longer than

• shorter than

According to the AICP theorem, when two lines are cut by a transversal, under what condition will the lines be parallel?

• When the corresponding angles are different.

• When the adjacent angles are complementary.

• When the alternate interior angles are congruent.

• When the alternate interior angles are supplementary.

How many aces are there in a standard deck of 52 playing cards?

• 4

• 6

• 10

• 13

What is the probability of sure event?

• 0

• ½

• 0.75

• 1

Which sets of segments with the given lengths CANNOT be used to construct a triangle?

• 1in, 2in, and 3in

• 1in, 2in, and 2in

• 2in, 3in, and 4in

• 3in, 4in, and 5in

What postulate or theorem guarantees that lines l and m are parallel?

• CACP Postulate

• AICP Theorem

• AI-CA Theorem

• SSIAS Theorem