Lines rs, tv in sw are shown which statements are true about these lines check all that apply

Line SW has a undefined slope

Line TV has a slope of 0

Lines RS and TV are parallel

Step-by-step explanation:

Verify each statement

Part 1) Line RS has a slope of 6

The statement is false

Because, line RS is a horizontal line (is parallel  to the x-axis)

so

The slope of line RS is equal to zero

Verify

we have

R(-8,6) and S(2,6)

Applying the formula of slope

m=(6-6)/(2+8)

m=0/10=0

Part 2) Line SW has a undefined slope

The statement is true

Because, line SW is a vertical line (is parallel to the y-axis)

The slope of a vertical line is undefined

Verify

we have

S(2,6) and W(2,-8)

Applying the formula of slope

m=(-8-6)/(2-2)

m=-14/0 > is undefined

Part 3) Line TV has a slope of 0

The statement is true

Because, line TV is a horizontal line (is parallel  to the x-axis)

so

The slope of line TV is equal to zero

Verify

we have

T(-6,-4) and V(8,-4)

Applying the formula of slope

m=(-4+4)/(8+6)

m=0/14=0

Part 4) Lines RS and TV are parallel

The statement is true

Because, line RS and line TV are horizontal lines (are parallel  to the x-axis)

Remember that if two lines are parallel, then their slopes are the same.

Both slopes are equal to zero

Part 5) Line SW is perpendicular to line RS but no to line TV

The statement is false

Because, Line SW is perpendicular to line RS and line TV

(A horizontal line is perpendicular to a vertical line. so it would have to be perpendicular to both RS and TV)

answer

step-by-step explanation: