Similarity in Parallel Lines

• 2 ∠ACB ≅ ∠DCG Vertical angles are congruent

  3 ∠B ≅ ∠DCG Alternate exterior angles of parallel lines are congruent

• 2 ∠A ≅ ∠DCG Alternate interior angles of parallel lines are congruent

  3 m∠G + m∠ACB = 180 Same side interior angles of parallel lines are supplementary

• 2 ∠B ≅ ∠DCG Alternate interior angles of parallel lines are congruent

  3 ∠G ≅ ∠ACB Corresponding angles of parallel lines are congruent

• 2 ∠A ≅ ∠DCG Corresponding angles of parallel lines are congruent

  3 ∠G ≅ ∠ACB Corresponding angles of parallel lines are congruent

• 3 ∠ABF ≅ ∠DCF

  4 SAS Similarity

• 3 ∠A ≅ ∠D

  4 AA Similarity

• 3 ∠AFB ≅ ∠DFC

  4 AA Similarity

• 3 ∠ABF ≅ ∠DCF

  4 SAS SImilarity

State the postulate that proves these triangles are similar.

• SSS

• AA

• SAS

• Not similar

If angle 6 is 25 degrees, how many degrees is angle 7?

• 25 degrees

• 50 degrees

• 90 degrees

• 155 degrees

Find C

• ∠C=116°

• ∠C=64°

• ∠C=180°

• ∠C=26°

Solve for x.

• x = 2

• x = -1

• x = 1

• x = 5

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11

• 18

• 9

• -7

What do the arrows on these triangles represent?

• Perpendicular lines

• Parallel lines

• Transversals

• Congruent

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SAS

• AA

• SSS

• not similar

Is a quadrilateral with only one pair of parallel sides.

• Rhombus

• Square

• Rectangle 

• Trapezoid