Parallel lines & Transversal Quiz

Draw two parallel lines with a transversal intersecting both and use <1 & <2 as alternate interior angles and draw in the figure.

Answer explanation

Remember alternate interior angles are on the opposite side of the transversal and in the interior of the two parallel lines.

Draw two parallel lines and a transversal and use <3 & <4 to insert into the picture as same-side (consecutive) interior angles.

Answer explanation

Remember same-side interior angles are just as the name suggests. They are both on the interior of the two parallel lines and they are on the same side as the transversal.

Draw two parallel lines and a transversal, use <5 & <6 to use in the picture for alternate exterior angles.

Answer explanation

Remember alternate exterior angles are on opposite sides of the transversal on outside the two parallel lines.

Draw two parallel lines and a transversal and label two angles <7 & <8 in as corresponding angles.

Answer explanation

Remember corresponding angles are in the same position. One is in the interior and one is in the exterior.

Match the following angles to the theorem.

• <3 & <5

• Alternate Interior Angles

• <4 & <7

• Corresponding

  Angles

• <4 & <5

• Alternate Exterior Angles

• <1 & <7

• Linear Pair

• <6 & <8

• Same-side Interior Angles

Find the value of x if m<3 = 10x + 6 and m<6 = 6x + 10. Round your answer to the nearest tenth if necessary.

Mathematical Equivalence

ON

Answer explanation

Add the statements to equal to 180. 10x + 6 + 6x + 10 = 180 and then solve for x.

If m<2 = 110 and m<5 = 10x + 10, what would the value of x be?

Mathematical Equivalence

ON

Answer explanation

Remember these are corresponding angles so they are congruent,

Determine the correct parallel lines with the correct reason.

• d//c since <10 and <14 are corresponding angles that are congruent

• d//c since <10 and <1 are consecutive interior angles that are supplementary

• d//c since <1 and <7 are alternate exterior angles that are congruent

• d//c since <7 and <8 form a linear pair and are supplementary.

Answer explanation

<10 is formed by lines d & a, <1 is formed by lines c and a. They both share line a, so that is the transversal and since they are consecutive interior angles (same-side interior angles), then d//c.

Determine the correct set of parallel lines with the correct reason.

• a//b since <9 and <16 are alternate exterior angles and are congruent.

• d//c since <11 and <13 are consecutive interior angles and are supplementary.

• a//b since <12 and <16 are corresponding angles and are supplementary.

• c//d since <3 and <5 are alternate interior angles and are congruent

Answer explanation

<9 is formed by lines a & d, <16 is formed by lines b & d, so a//b and they are alternate exterior angles that are congruent.

Prove l//m given that <1 is congruent to <2. Use the drop​down menu to determine the answer. Under <1 is congruent to <3 ​ (a)   . Use the dropdown menu to determine the answer for <2 is congruent to <3. ​ (b)   . Finally, what is the reason for the prove, l//m? ​ (c)  

• vertical angles are congruent
• Given
• Transitive Property
• Linear Pair Postulate
• Corresponding Angle Theorem
• Same-side interior angles Postulate
• Substitution Property
• Converse of the Corresponding angle theorem
• Converse of the Alternate Exterior Angle Theorem
• Converse of the same-side interior angle Postulate