Which angle pairs prove that two lines are parallel?
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Luz checks two toy-train rails. ∠UGF and ∠GHS are corresponding angles, m∠UGF = 72° and m∠GHS = 72°. Is line DF parallel to line QS?
- No: the sketch has no arrows on the lines.
- Yes: corresponding angles are equal.
- No: corresponding angles must add to 180°.
Milo checks the two rails of a ladder. ∠DGH and ∠GHQ are same-side interior angles, m∠DGH = 68° and m∠GHQ = 112°. Is line DF parallel to line QS?
Use the picture in question 1.
- Yes: the angles add to 180°.
- No: same-side interior angles must be equal.
- No: 112° is an obtuse angle.
Noah checks two window bars. ∠FGH and ∠GHQ are alternate interior angles, m∠FGH = 64° and m∠GHQ = 66°. Is line DF parallel to line QS?
Use the picture in question 1.
- No: 64° and 66° are not equal.
- Yes: the lines look parallel in the sketch.
- No: alternate interior angles must add to 180°.
Pia checks two streets on a map. ∠UGD and ∠QHV are same-side exterior angles, m∠UGD = 95° and m∠QHV = 95°. Is line DF parallel to line QS?
Use the picture in question 1.
- Yes: the two angles are equal.
- Yes: the lines look parallel in the sketch.
- No: the angles add to 190°, not 180°.
Ren draws two lines on paper. Which fact proves that line DF ∥ line QS?
Use the picture in question 1.
- m∠UGF + m∠FGH = 180°
- m∠UGF = m∠GHS
- m∠DGH = m∠GHQ
- m∠UGD = m∠FGH
Tala checks two bike lanes. Which fact proves that line DF ∥ line QS?
Use the picture in question 1.
- m∠FGH = m∠GHS
- m∠GHQ + m∠QHV = 180°
- m∠QHV = m∠GHS
- m∠DGH = m∠GHS
Zee checks two stripes on a rug. Which fact proves that line DF ∥ line QS?
Use the picture in question 1.
- m∠FGH + m∠UGF = 180°
- m∠UGD = m∠UGF
- m∠FGH + m∠GHQ = 180°
- m∠FGH + m∠GHS = 180°
Ari draws two lines in crayon. Which fact proves that line DF ∥ line QS?
Use the picture in question 1.
- m∠UGD = m∠SHV
- m∠UGD = m∠FGH
- m∠UGD + m∠SHV = 180°
- m∠SHV = m∠QHV
Bo checks two guitar strings. ∠DGH and ∠GHQ are same-side interior angles, and m∠DGH = 81°. What must m∠GHQ be for DF ∥ QS, in degrees?
Use the picture in question 1.
Jun checks two bike lanes. ∠UGD and ∠QHV are same-side exterior angles, and m∠UGD = 72°. What must m∠QHV be for DF ∥ QS, in degrees?
Use the picture in question 1.