Midchapter quiz - chapter 9

Classify the pair of angles

• adjacent

• vertical

• supplementary

• complementary

Answer explanation

Complementary angles add up to 90*

Tags

CCSS.7.G.B.5

Classify the pair of angles

• adjacent

• vertical

• supplementary

• complementary

Answer explanation

supplementary angles add up to 180*

Tags

CCSS.7.G.B.5

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

Tags

CCSS.7.G.B.5

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

Tags

CCSS.7.G.B.5

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

Tags

CCSS.8.G.A.5

Determine the value of x

• x=42*

• x = 90*

• x=48*

• x=6*

Answer explanation

(48+42)+x = 180

so x = 90

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.5

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

Tags

CCSS.7.G.A.2

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.

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10