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Which construction is illustrated above

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Hey there, fellow construction enthusiasts! Have you ever found yourself wondering, "Which construction is illustrated above? A perpendicular to a given line from a point on the line?" Well, fret no more! Today, we're going to dive into the wonderful world of perpendicular constructions and explore the magic that happens when lines intersect at a perfect 90-degree angle. Imagine this scenario: you have a line, and you want to draw a line that intersects it at a right angle from a specific point on the original line. Sounds like a tricky task, doesn't it? But fear not, my friends, because we have the perfect solution for you! This construction is none other than the perpendicular construction. So, how does it work? Picture this: you have a line, let's call it Line A, and a point on that line, let's call it Point P. Now, let's say you want to draw a line that is perpendicular to Line A and passes through Point P. Well, all you need is a trusty ruler and a compass, and you're good to go! To construct this magnificent perpendicular line, simply follow these steps: 1. Place the compass on Point P and draw an arc that intersects Line A at two points - let's call them Point

Which construction is illustrated above

Oct 5, 2018 — Which construction is illustrated above? A. a parallel line to a given line from a point not on the line B. Get the answers you need, now!

Which construction is illustrated above?

Which construction is illustrated above? ... a parallel line to a given line from a point not on the line. Tap the card to flip 👆.

How do you construct a perpendicular line from a point on the line?

So take your compass. Away. Take up your ruler. And what we want to do is line our ruler open.

What is the perpendicular bisector of a line?

A perpendicular bisector can be defined as a line segment which bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.

How do you construct a perpendicular bisector through a point?

And I have one and two intersections. Here so here's my sweeping arc. It's going to intersect twice. So after step one here we're then going to place the compass point where the arc crossed.

What is a perpendicular bisector example?

A perpendicular bisector is a line, line segment, ray, or plane that divides a line segment into two equal pieces and intersects the bisected line segment at a right angle. Examples are the altitude of an isosceles triangle, and the three lines used to find the circumcenter of a triangle.

Frequently Asked Questions

What is the symbol for a perpendicular bisector?

( ⊥ )

The symbol for the perpendicular is ( ⊥ ). Let us take a look at few examples say we have two lines as shown below these two lines are perpendicular if they intersect to form a right angle.

What is the difference between perpendicular and perpendicular bisector?

Answer: Perpendicular is a line, which makes a 90° angle with any other line. ... Where as perpendicular bisector is a line, which makes a 90° angle with a line segment as well as , the line bisects ( divides into 2 equal parts) the line segment.

What other construction is needed to construct parallel lines?

We can parallel lines with compass and straightedge by creating a pair of congruent corresponding angles on a transversal.

What is an example of a parallel line?

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.

Which of the following can be used to construct parallel lines?

We can construct a parallel line to a given line using a set square, a compass, as well as a protractor.

Which of the following steps is included in the construction of a parallel line?

Answer and Explanation:

While constructing the parallel lines we must copy an angle by creating arcs with a compass on two ends of a line and then joining them.

Which step is the same in the construction of parallel lines in the construction of a perpendicular line to a point off a line?

Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line? Create a line that intersects the original line.

When constructing a perpendicular line through a point of a line how can you verify that the lines constructed are perpendicular?

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles.

FAQ

Which pair of lines shows parallel lines?
The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.

What is the first step in constructing the perpendicular bisector of AB?

Let us assume we have a straight line from A to B, the first step we need to consider when constructing a perpendicular bisector is to: Position our compass at A, using any convenient radius to bisect an arc, the same must be done at B. The arc is to be drawn at the top and the bottom of the straight line.

Which is the correct construction for a perpendicular bisector?

Example 1: perpendicular bisector

Put the point of the compasses on one of the endpoints of the line. 2Use compasses to draw a second arc, intersecting the first arc. 3Join the two points where the arcs intersect. The new line is the perpendicular bisector of the original line segment A B AB AB.

What is a perpendicular bisector of a line?

Perpendicular bisector is a line that divides a given line segment exactly into two halves forming 90 degrees angle at the intersection point. Perpendicular bisector passes through the midpoint of a line segment.

What is a perpendicular line?

In Mathematics, a perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are perpendicular to each other.

What are parallel and perpendicular lines in construction?

The lines that are non-intersecting or not touching each other and having the same distance between them in all points are called parallel lines. The lines that are intersecting at right angles with each other are known as perpendicular lines. Generally, lines are constructed by using the ruler and compass, etc.

What do parallel and perpendicular lines look like?
Parallel lines are the lines that never intersect each other. Thus, two parallel lines always maintain a constant distance between them. Perpendicular lines are the two lines that intersect each other at a right angle. We come across examples of parallel lines and perpendicular lines in daily life.

Which construction is illustrated above

What illustrates perpendicular lines?

Perpendicular lines occur any time two lines meet at a 90° angle. This is also known as a right angle. This type of intersection of two lines might be depicted by a little square in the inner corner of the angle.

Which figure is made up of both perpendicular and parallel lines?

There are many shapes around us that have parallel and perpendicular lines in them. For example, the opposite sides of a square and a rectangle have parallel lines in them, and the adjacent lines in the same shapes are perpendicular lines.

Which construction is illustrated above? a perpendicular to a given line from a point on the line

Dec 13, 2016 — Which construction is illustrated above?A) a perpendicular to a given line from a point on the line. B) a line segment congruent to a given line 

What is a perpendicular bisector of a line segment?

The perpendicular bisector is a straight perpendicular line which passes through the midpoint of our segment to draw this perpendicular bisector firstly we must draw two arcs which are centered on

What is a congruent segment in geometry?

Congruent segments are segments that have the same length. ≅ Points that lie on the same line are called collinear. A theorem is a mathematical statement that can be proved. The midpoint of a segment is a point that divides the segment into two congruent segments.

Which step is included in the construction of perpendicular lines using a point on the line?

In order to construct a perpendicular from a point on a given line segment: Draw two arcs crossing the line segment. Make two sets more arcs which intersect on both sides of the line. Join the points where the arcs intersect.

Is angle bisector a perpendicular line?

Are bisectors of an angle always perpendicular? NO, not in all triangles. In an equilateral triangle, XYZ, all the three angles = 60 deg. The bisectors of all the three angles will be perpendiculars on the opposite side and bisect that side.

  • Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line 1 point?
    • Explanation: In the question, the step that is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line is option d. placing the compass on a point on the original line. In both constructions, the compass is used to mark a point on the original line.

  • In which geometry is there no line parallel to a given line through a point not on the line?
    • Answer: Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

  • What are the lines that are perpendicular or parallel to each other?
    • Parallel lines are the lines that never intersect each other. Thus, two parallel lines always maintain a constant distance between them. Perpendicular lines are the two lines that intersect each other at a right angle. We come across examples of parallel lines and perpendicular lines in daily life.

  • What is line J called and what are ∠ 1 and ∠ 2?
    • Line j is the transversal, and ∠1 and ∠2 are alternate exterior angles. Line j and its Nature: Line j is a line that intersects two other lines, creating angles at the intersection points. In this case, it intersects two other lines.

  • How is constructing a perpendicular bisector similar?
    • Expert-Verified Answer. An angle bisector is a line segment that splits an angle into two equal halves while a perpendicular bisector is a line segment that divides the other line segment that is opposite to it perpendicularly. Angle bisector and perpendicular bisector are similar as the angle is split in two by both.

  • How do you construct a congruent angle?
    • And using b as the center to cut the rays ba and bc on the arms of the given angle abc. The arc cuts the angle abc. At points d and e respectively at shown.

  • Which construction is illustrated above jiskha
    • Dec 19, 2019 — The construction illustrated above is a perpendicular to a given line at a point on the line. In this construction, a line is drawn such that it 

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