SCS-MC-G.CO.C.8

The student then proves that ∠4 ≅ ∠8. The table shows the steps. Which justifications complete the proof?

• Step 2: Supplementary angles are congruent.
  Step 3: Corresponding angles are congruent.

• Step 2: Supplementary angles are congruent.
  Step 3: Vertical angles are congruent.

• Step 2: Vertical angles are congruent.
  Step 3: Corresponding angles are congruent.

• Step 2: Vertical angles are congruent.
  Step 3: Supplementary angles are congruent

Tags

G.CO.C.8

Which step is correct?

A) Step 2: Supplementary angles are congruent. Step 3: Corresponding angles are congruent.

B) Step 2: Supplementary angles are congruent. Step 3: Vertical angles are congruent.

C) Step 2: Vertical angles are congruent. Step 3: Corresponding angles are congruent.

D) Step 2: Vertical angles are congruent. Step 3: Supplementary angles are congruent.

• Step 2: Supplementary angles are congruent. Step 3: Corresponding angles are congruent.

• Step 2: Supplementary angles are congruent. Step 3: Vertical angles are congruent.

• Step 2: Vertical angles are congruent. Step 3: Corresponding angles are congruent.

• Step 2: Vertical angles are congruent. Step 3: Supplementary angles are congruent.

Tags

G.CO.C.8

Which statement is true?

• Complementary angles always add up to 90°.

• Complementary angles always add up to 180°.

• Complementary angles are always congruent.

• Complementary angles are always vertical angles.

Tags

G.CO.C.8

In the diagram below Points G, H, and I are collinear. Which conjecture is not necessarily true?

• ∠GHK ≅ ∠KHI

• m∠GHJ + m∠JHI = 180°

• ∠GHJ and ∠JHI form a linear pair

• ∠GHK and ∠JHI are vertical angles

Tags

G.CO.C.8

• If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

• If two parallel lines are cut by a transversal, the alternate exterior angles are congruent.

• If two parallel lines are cut by a transversal, the corresponding angles are congruent.

• If two parallel lines are cut by a transversal, the vertical angles are congruent.

Tags

G.CO.C.8

Which conjecture must be true?

• If two angles are adjacent angles, then the angles are supplementary.

• If two congruent angles are supplementary, then the angles are right angles.

• If two congruent angles have a common vertex, then the angles are vertical angles.

• If two angles are both acute angles, then the sum of the angle measures is less than 90°.

Tags

G.CO.C.8