Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?

Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?

Answer Expert Verified In order to construct an equilateral triangle, the two sides if are congruent, then they must be congruent to the third side because of the definition of equilateral triangle. Therefore, two segments that are both congruent to a third segment must be congruent to each other.

Why are circles used to construct equilateral triangles?

How does construction of a circle ensure that all relevant segments are of equal length? The radius of equal-sized circles, which must be used in construction of an equilateral triangle, does not change. This consistent length guarantees that all three side lengths of the triangle are equal.

Why are circles used in construction?

As you can see the surface of the walls that we’d have if using a square is greater than the surface of walls that we’d have if we used a circle. This translates in more material, more labor, and therefore in a greater cost in the construction.

Why are circles so important in construction?

The circle is important when constructing equilateral triangles because it can allow one to draw an accurate triangle while not having a ruler to…

Why are circles used in construction Why is the radius important in a circle?

And that simple understanding allows you to construct any geometric shape precisely WITHOUT measurement. The opening of the compass is the radius of the resulting circle, so practice with keeping the compass at the same radius distance so that circles constructed are congruent is crucial in geometry constructs.

Why are circles being used in many infrastructures?

In CIrcle you describe the dependencies between Critical Infrastructures. CIrcle facilitates the discussion between the stakeholders dependent on each other, builds trust and stimulates future partnerships.

Why is the radius important in a circle?

From what is said above it is obvious that the radii of the circles play important part in the construction of tangents, radical axis and also homothetic and radical points that are essential to drawing tangent (common or equal) in two circle system.

Is chord a radius?

Any segment which connects two different points on a circle is a chord. The radius of a circle connects the centre and one point on the circle. Hence a radius cannot be called a chord.

Which segment is a radius?

A radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle. For the circle below AD, DB, and DC are radii of a circle with center D. A line segment that crosses the circle by passing through the center of the circle is called the diameter.

What is Radius with diagram?

In graph theory, the radius of a graph is the minimum over all vertices u of the maximum distance from u to any other vertex of the graph. The radius of the circle with perimeter (circumference) C is.

How do I add a radius to a Google map?

Make Your Radius Map

1. Once you’re in Google Maps, find the menu icon in the upper left, next to the Maps search box.
2. At the bottom of My Maps panel, click “Create Map.” This opens a new tab.
3. So, you’ve got the circle moved over.
4. Don’t worry about messing up the shape.

How do you draw a radius on a map?

You can also click a point on the map to place a circle at that spot. You can adjust the placement of the circle by dragging it to a different location. You can also change the radius by either dragging the marker on the outside of the circle or by entering the radius in the field below and clicking edit circle.

Can I draw on Google Maps?

You can trace a path or highlight an area on your map by drawing lines and shapes.

How do you find the radius on a map?

Touch and hold anywhere on the map. You’ll see a red pin appear. At the bottom, tap the name of the place. On the place’s page, scroll down and choose Measure distance.

How do I find the distance between two locations?

Measure distance between points

1. On your computer, open Google Maps.
2. Right-click on your starting point.
3. Choose Measure distance.
4. Click anywhere on the map to create a path to measure.
5. Optional: Drag a point or path to move it, or click a point to remove it.

How do I find the radius of a postcode?

Input a radius to search within in KM or miles. Click on the map or type in an address or postcode on the center of your search. After a delay, the results will appear inside the radius. If you hover over a marker, you will see it’s outcode postcode.

Where is the distance measuring tool in Google Maps?

On iPhone & Android Tap and hold the starting point where you want the distance measurement to begin. A dropped pin appears at that point. Next, tap the white “Dropped Pin” box at the bottom of the screen. Tap the “Measure Distance” option.