Mastery Test Grade 8 Mathematics

What makes the statement correct? The measure of an exterior angle of a triangle is 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

2. What makes the statement true? The sum of the two sides of a triangle is ______.

• Greater than the length of the third side

• Less than the length of the third side

• Greater than its adjacent interior angle

• Less than its adjacent interior angle.

Which side of ∆GOD is the shortest?

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Which side of ∆GOD is the longest?

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Which of the following could be the measure of the unknown angle in the figure below?

• 105⁰

• 103^o

• 56⁰

• 47⁰

Mike was given by his teacher 2 sticks which are 4 inches and 7 inches. In order to make a triangle, between what two values must be measure of the third stick fall?

• 3 inches and 10 inches

• 4 inches and 11 incheS

• 3 inches and 11 inches

• 2 inches and 10 inches

Sophia, Maria, Athena were given by their teacher a 28 inch stick. They were instructed to create a triangle. Each cut the stick in their own chosen lengths as follows:

Sophia: 9 inches, 9 inches, 10 inches

Maria: 7 inches, 9 inches, 12 inches

Athena: 5 inches, 9 inches, 14 inches

Who among the students can make a triangle?

• Sophia Only

• Sophia and Athena

• Athena and Maria

• Sophia and Maria

8. Best friends Mike and James who went biking move in opposite directions – Mike, eastward, whereas James, westward. After four kilometers each, Mike took a left turn at an angle of 60⁰ and James took a right turn at 45⁰. Both continue moving and cover 2 kilometers each before taking a rest. Which of the two hikers is farther from their point of origin?

• Mike

• James

• They both have the same distance from the origin

• It cannot be determined

Susan wanted to fence her triangular garden with barbed wire. She found that the lengths of the two sides of the triangle garden are 4 meters and 3 meters respectively. She has 8 meters of barbed wire at home. What is the maximum length of barbed wire she must buy in order to exactly fence that triangular garden?

• 5 meters

• 6 meters

• 7 meters

• 8 meters

For items 10 – 13, refer to the figure below to complete the two-column proof. Select your answers from the choices below.

• 10. 10. Given
      11. Subtraction Property of Inequality
      12. Subtraction Property of Equality
      13. Angle Addition Postulate

• 10. Given
  11. Subtraction Property of Equality
  12. Subtraction Property of Inequality
  13. Angle Addition Postulate

• 10. Given
  11. Subtraction Property of Equality
  12. Angle Addition Postulate
  13. Subtraction Property of Inequality

• 10. Given
  11. Subtraction Property of Inequality
  12. Angle Addition Postulate
  13. Subtraction Property of Equality