Question
What would be sufficient information to prove that c || d?
Hint:
If two coplanar lines are perpendicular to a third line, then they are parallel to each other.
The correct answer is: the sufficient information to prove that c || d is that line b is also perpendicular to line c.
It is given that line b is perpendicular to line d. Using the theorem “If two coplanar lines are perpendicular to a third line, then they are parallel to each other”. So if line b is also perpendicular to line c then by using the theorem we can conclude c || d.
Final Answer:
Hence, the sufficient information to prove that c || d is that line b is also perpendicular to line c.
Related Questions to study
Find the measure of angle x.
Find the measure of angle x.
Solve the compound inequality 5x+7 < 13 or -4x+3 > 11. Graph the solution.
A Compound inequality is a connection between two inequality statements by the words "or" or "and." The conjunction "and" denotes the simultaneous truth of both statements in a compound sentence. It is the point where the solution sets for the various statements cross over or intersect. The conjunction "or" denotes that the entire compound sentence is true as long as either of the two statements is true — the union or combination of the solution sets for each particular statement.
Let's see x: 2 x + 7 < –11 or –3 x – 2 < 13. Solve each inequality on its own. Combine the solutions, i.e., determine the union of the solution sets for each inequality phrase since the connecting word is "or." Both x < –9 and x > -5 denote all the numbers on the left of those two particular values. Written as follows is the solution set:
{ x| x < -9 or x > -5}
Solve the compound inequality 5x+7 < 13 or -4x+3 > 11. Graph the solution.
A Compound inequality is a connection between two inequality statements by the words "or" or "and." The conjunction "and" denotes the simultaneous truth of both statements in a compound sentence. It is the point where the solution sets for the various statements cross over or intersect. The conjunction "or" denotes that the entire compound sentence is true as long as either of the two statements is true — the union or combination of the solution sets for each particular statement.
Let's see x: 2 x + 7 < –11 or –3 x – 2 < 13. Solve each inequality on its own. Combine the solutions, i.e., determine the union of the solution sets for each inequality phrase since the connecting word is "or." Both x < –9 and x > -5 denote all the numbers on the left of those two particular values. Written as follows is the solution set:
{ x| x < -9 or x > -5}
