Reviewer Grade 8

What theorem on Triangle Inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

• Triangle Inequality Theorem 1 (Ss →Aa)

• Triangle Inequality Theorem 2 (Aa →Ss)

• Triangle Inequality Theorem 3 ( S1+S2>S3)

• Triangle Inequality Theorem 4 (A1+A2<A3)

Converse of Hinge Theorem are also called______.

• SAS Inequality

• SSS Inequality

• ASA Inequality

• SAA Inequality

Which of the following set of length can Shella use to create a triangle?

• 10,20,30

• 18, 20, 37

• 15, 16, 32

• 7,8,15

The following are true about Triangle Inequalities, EXCEPT

• The angle opposite the longer side is larger than the angle opposite the shorter side

• The side opposite the larger angle is longer than the side opposite the smaller angle

• The sum of the lengths of any two sides of a triangle is greater than the length of the third side

• The measure of an exterior angle of a triangle is equal to the measures of either remote interior angle

Given the ΔFAN, If ∠F > ∠A, ∠A > ∠N , which of the following statements is NOT true.

• AN is the largest side of the triangle

• FA is greater than NF

• ∠N is the smallest angle of the triangle

• FA + NF is greater that AN.

Which of the following statements describe the relationship between the exterior angle of a triangle and its remote interior angles?

• The sum of the measure of remote interior angles is greater than the measure of its exterior angle.

• The measure of exterior angle is always less than the sum of the measure of its remote interior angles.

• The measure of exterior angle is always equal to the measure of the sum of its remote interior angles.

• There is no relationship between exterior angle and its remote interior angle.

The measure of an exterior angle of a triangle always _______.

• Greater than its adjacent interior angle

• Greater than either remote interior angle.

• Less than its adjacent interior angle.

• Less than either remote interior angle.

List the angles of ΔDEF in order from smallest to largest.

• ∠D, ∠E, ∠F

• ∠F, ∠E, ∠D

• ∠D, ∠F, ∠E

• ∠F, ∠D, ∠E

In ΔABC, AB= (4x+4) cm, BC=(2x+12)cm, and CA= 20 cm. If the perimeter of the triangle is 60 cm, what is the measurement of AB?

• 15

• 20

• 25

• 30

In ΔMAT, if MT>AT , and ∠T > ∠A, which of the following is true?

• ∠A>∠M

• MT > AM

• AM is the shortest side of the triangle.

• ∠A  is the largest angle of the triangle.