Given $$a\parallel b$$ and $$x\parallel y$$ what statement below represents valid reasoning?

$$\angle7\cong\angle12$$ are congruent since they are alternate interior angles. $$\angle10\ and\ \angle12$$ are congruent since they are corresponding angles. Therefore $$\angle10\cong\angle7$$ by the transitive property

$$\angle6\cong\angle8$$ because they are vertical angles.

$$\angle6\cong\angle11$$ because they are corresponding angles.

$$\angle4\ and\ \angle16$$ are congruent since they are alternate interior angles.

$$\angle6\cong\angle7$$ since they are corresponding angles. $$\angle7\cong\angle11$$ since they are alternate interior angles. Therefore $$\angle6\ and\ \angle11$$ are congruent by the transitive property.

$$\angle6\ and\ \angle8\ are$$ ________________________

alternate interior and supplementary

corresponding angles and congruent

vertical angles and supplementary

consecutive exterior angles and supplementary

Which of the following prove that $$x\parallel y$$

knowing that $$\angle12\cong\angle13$$ and the alternate exterior angles converse

knowing $$\angle13\cong\angle12$$ and the corresponding angles converse

knowing that $$\angle14\cong\angle15$$ and the consecutive interior angles converse

knowing that $$\angle1\cong\angle9$$ and the corresponding angles converse

knowing that $$\angle2\cong\angle3$$

The measure of angle 4 is 128 degrees. What is the measure of angle 5 and what property does this follow?

128 degrees. Alternate interior angles are congruent.

52 degrees. Alternate exterior angles are congruent

52 degrees. Alternate interior angles are congruent

128 degrees. Alternate exterior angles are congruent.

Bell Work Day 26

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Medium

•

CCSS

8.G.A.5, 7.G.B.5

Standards-aligned

Rex Flake

Used 1+ times

FREE Resource

16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

alternate interior angles theorem

alternate exterior angles theorem

consecutive interior angles theorem

consecutive exterior angles theorem

corresponding angles theorem

Tags

CCSS.8.G.A.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

alternate interior angles theorem

alternate exterior angles theorem

consecutive interior angles theorem

corresponding angles theorem

vertical angles theorem

Tags

CCSS.8.G.A.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the figure, solve for x.

x = 4

x = 8

x = 12

x = 14

x = 16

Tags

CCSS.8.G.A.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x = 10

x = 20

x = 15

x = 30

x = 25

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the two parallel lines and the marked angles, determine the value of x.

x = 40

x = 180

x = 140

x = 20

x=60

Tags

CCSS.8.G.A.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.8.G.A.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.8.G.A.5

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Bell Work Day 26

16 questions

Given the figure, solve for x.

Given the two parallel lines and the marked angles, determine the value of x.

Based on the figure, which pairs of angles are corresponding angles.

What is the relationship between angle 1 and angle 5?

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