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How do you prove a line is perpendicular to another line?
Correct answer: If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .
How do you construct a perpendicular bisector of a line segment by paper folding?
To find the perpendicular bisector, fold the paper so that the endpoints lie on top of each other. By doing this, you have matched the two halves of the line segment exactly. Any point on the fold is now equidistant from both endpoints, because the endpoints are now in the same place!
How do you prove that two segments are perpendicular?
A line that splits another line segment (or an angle) into two equal parts is called a “bisector.” If the intersection between the two line segment is at a right angle, then the two lines are perpendicular, and the bisector is called a “perpendicular bisector”.
What is paper folding method?
: the art or process of folding squares of colored paper into representative shapes — see origami.
Which paper folding method can be used to form the midpoint of a line segment?
To construct the midpoint of a line segment, start by drawing a line segment on the patty paper. Next, fold the paper so that the endpoints of the line segment overlap. This creates a crease in the paper.
How do you prove if a line is perpendicular to one of the two parallel lines then it is perpendicular to the other line also?
Step-by-step explanation:
- Given:
- To Prove:
- Proof: Suppose that lines m and n are parallel to each other and line L is transversal.
- Here,
- Since, Line L is perpendicular to line m therefore,
- Also, PQ intersects parallel lines AB & CD at points K & L respectively.
- ⟹ ∠KLD = 90°
How do you prove a right angle with perpendicular lines?
If two lines intersect to form a linear pair of “congruent angles”, the lines are therefore perpendicular. Congruent angles are just angles that are equal to each other! If two lines are perpendicular, they will intersect to form four right angles.
How do you work out the perpendicular bisector of a line?
A straightforward way of finding a perpendicular bisector is to measure a line segment that you need to bisect. Then divide the measured length by two in order to find its midpoint. Draw a line out from this midpoint at a 90 degrees angle.
How do you prove a point is on the perpendicular bisector of a segment?
If the point is on the perpendicular bisector of a segment, then it’s equidistant from the endpoints of the segment. (Here’s an abbreviated version: If you have a perpendicular bisector, then there’s one pair of congruent segments.)
Can a paper be folded to make a straight line?
-Paper can he folded so that tile crease formed is a straight line. -Paper can be folded so that the crease passes through one or two given points. -Paper can be folded so that a point can be made coincident with another point on the same sheet.
Which is paper folding method can be used to form a.?
We know that a perpendicular line segment is formed with the help of paper folding in following steps: Draw a line segment on a paper. Fold the paper so that the endpoints of the line segment are on each other. The crease that is formed on the paper and pass through the line segment is the perpendicular line to the given line segment.
How to write a proof with perpendicular lines?
Proofs with Perpendicular Lines Section 3.4Proofs with Perpendicular Lines 147 3.4 Proofs with Perpendicular Lines Writing Conjectures Work with a partner. Fold a piece of paper in half twice. Label points on the two creases, as shown. a. Write a conjecture about AB — and CD — Justify your conjecture.
How to construct the midpoint of a line segment?
To construct the midpoint of a line segment, start by drawing a line segment on the patty paper. Next, fold the paper so that the endpoints of the line segment overlap. This creates a crease in the paper. The intersection of the crease and the original line segment is the midpoint of the line segment.