Proving Angles Congruent

Find m∠12 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

Find m∠13 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

What is the optimal reason for ?

• Given

• Given by diagram

• Given by diagram

• Property of Equality

What is the optimal reason for ?

What is the optimal reason for #4

What is the optimal reason for #2?

• Given by diagram

• 1. Given

• 2. Given

• 2. Given by diagram

If ∠4 ≅ ∠5, which of the following can be concluded?

• r is parallel to s by converse of Corresponding Angles Thm.

• u is parallel to b by Converse of Consecutive Interior Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• Nothing can be concluded

If ∠1 ≌∠2, which of the following can be concluded?

• r is parallel to s by converse of Corresponding Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm