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What must be true for lines a and b to be parallel lines? Select four options.

a) b
b) c
c) (4x–10)
d) 2

User Oluwatoyin
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1 Answer

4 votes

Suitable choices are (1), (2), (7), and (8). In a plane, lines that are consistently spaced apart from one another are referred to as parallel. Parallel lines don't ever intersect.

What is meant by parallel lines, refer to?

In a plane, lines that are always spaced at the same distance apart are referred to as parallel. Parallel lines never cross one other.

Perpendicular lines are those that cross at a straight angle (90 degrees). Parallel lines are two distinct lines in geometry that are situated in the same plane and never cross each other.

Both vertical and horizontal are possible. Parallel lines can be observed in our daily life in the shape of zebra crossings, columns of notebooks, and the neighbouring railroad tracks.

Given:

A and B are parallel lines.

Think of a | b and 'd' as a transversal,

Statements

Reasons

1. Corresponding angles are equal

2. Vertically opposite angles are equal

Now, consider a | b and ' c ' be a transversal then,

Statements

Reasons

1. Corresponding angles are equal

2. Sum of angles on a straight line is

3. Substitution property

4. Combining like terms

5. Subtraction property of equality

6. Division property of equality

Plug in x = 19

in

and

we get

So,

Hence, options (1), (2) , (7) and (8) are correct.

What must be true for lines a and b to be parallel lines? Select four options. a) b-example-1
What must be true for lines a and b to be parallel lines? Select four options. a) b-example-2
User Manindra Singh
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8.0k points