Midchapter quiz - chapter 9

Classify the pair of angles

• adjacent

• vertical

• supplementary

• complementary

Answer explanation

Complementary angles add up to 90*

Classify the pair of angles

• adjacent

• vertical

• supplementary

• complementary

Answer explanation

supplementary angles add up to 180*

Write and solve an equation to determine the value of x

• x=84

• x=28

• x=3

• x=252

Answer explanation

The equation is:

3x=84, the variable is being multiplied by 3, the opposite is divide by 3, both sides of the equal side. x=28

Write and solve an equation to find the value of x

• x = 46

• x=4

• x =11

• x = 22.5

Answer explanation

The equation is:

46+4x=90

You subtract 46 from each side and you are left with 4x=44

divide both sides by 4,

so x = 11

Determine the value of x

• x = 90

• x=22

• x=88

• x=63

Answer explanation

All angles add up to 180*,

so 29+88+x =180

Determine the value of x

• x=42*

• x = 90*

• x=48*

• x=6*

Answer explanation

(48+42)+x = 180

so x = 90

In triangle XYZ, the m∠X= (32x)° and m∠Z = (6.5x)°. Write and solve an equation to find the measure of each angle

• m∠Y = 28

  m∠Z = 26

• m∠Y = 26

  m∠Z = 26

• Isosceles triangle

• There is not enough information to answer this question

Answer explanation

Since this is an isosceles triangle, the congruent sides mean that m∠Y and the m∠Z are also congruent. The sum of all angles of a triangle =180, therefore

128 + x + x =180, so 2x = 52, therefore x = 26 where x represents the m∠Z.

Carlos drew plans for a triangular table. On his drawing, he labeled the sides 16 inches, 16 inches, and 30 inches. Determine if the triangle can be made.

• yes

• no

Order the sides and angles of each triangle from least to greatest.

• QR , QS, SR

  ∠S ∠R, ∠Q

• QR , QS, SR

  ∠Q, ∠R, ∠S

• SR , QS, QR

  ∠S, ∠R, ∠Q

• None of these

Answer explanation

Remember that the side opposite the largest angle is the largest side.

Order the sides and angles of each triangle from least to greatest.

• AC , AB , BC

  ∠B, ∠C, ∠A

• BC , AB , AC

  ∠B, ∠C, ∠A

• AC , AB , BC

  ∠A, ∠C, ∠B

• None of these