Angles Formed by Parallel Lines Cut by a Transversal

Direction: Read the questions carefully. Choose the letter of the correct answer.

1) Which shows a corresponding angle?

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Tags

CCSS.HSG.CO.C.9

2) If two parallel lines are cut by a transversal, which pair/s of angles could be supplementary?

I. Alternate interior angles

II. Interior angles on the same side of the transversal

III. Corresponding angles

• a.) I, II and III

• b.) II only

• c.) III only

• d.) I and III only

Tags

CCSS.HSG.CO.C.9

3) Two lines that are coplanar but do not intersect.

• a.) Transversal

• b.) Skew Lines

• c.) Intersecting Lines

• d.) Parallel Lines

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

4) Which condition/s would always be true if the two parallel lines are cut by a transversal?

Condition 1: Corresponding angles are congruent. Condition 2: Alternate interior angles are congruent. Condition 3: Interior angles on the same side of transversal are congruent.

• a.) Condition 1 only

• b.) Condition 1 and 2

• c. Condition 1, 2 and 3

• d) Condition 1 and 3

Tags

CCSS.HSG.CO.C.9

5) Which statement is NOT always true?

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

• b) A transversal is a line which intersects two coplanar lines at two different points.

• c) Skew lines are lines that do not intersect and not coplanar.

• d) Two lines that are coplanar but do not intersect are called parallel lines.

Tags

CCSS.HSG.CO.C.9

6.) If two different lines are cut by a transversal, what do you call the two nonadjacent interior angles on opposite side of the transversal?

• a.) Corresponding Angles

• b.) Alternate Exterior Angles

• c.) Alternate Interior Angles

• d.) Interior Angles on the same side of transversal

Tags

CCSS.HSG.CO.C.9

7) Which figure does not have a transversal?

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Tags

CCSS.HSG.CO.C.9

8.) If two lines are cut by a _____ and a pair of alternate exterior angles are congruent, then the lines are parallel. What should be placed on the blank?

• a.) Transversal

• b.) Skew Lines

• c.) Intersecting Lines

• d.) Parallel Lines

Tags

CCSS.HSG.CO.C.9

For numbers 9 – 15, refer to the given figure above. Given: lines x and y are cut by transversal t, and x ∥ y.

9) m∠1 = 115°, what is m∠6?

• a) 35°

• b.) 65° 

• c.) 75°

• d.) 115°

Tags

CCSS.HSG.CO.C.9

10) ∠3 = (2y)°, and ∠6 = (y + 12)°, what is the value of y?

• a.) 3

• b.) 6 

• c.) 12

• d.) 24

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1