Question

Help!

Math Torture!

Adam is constructing an equilateral triangle. He has already constructed the line segment and arcs shown.



What should Adam do for his next step?

A. Place the point of the compass on point X and draw an arc, using a width for the opening of the compass that is greater than 12XR.

B. Place the point of the compass on point X and draw an arc, using XR as the width for the opening of the compass.

C. Use the straightedge to draw XR←→ and XS←→.

D. Use the straightedge to extend RS¯¯¯¯¯ in both directions.

Answer 1

Answer:

C. Use the straightedge to draw XR←→ and XS←→.

Step-by-step explanation:

Adam has drawn the arcs by using RS distance as the radius of the circle and mid points as R and S.

So the point X is the same distance from R and S.

So now Adam has to use the straightedge to draw XR←→ and XS←→.

Then,  XR = XS = RS

So it is an equilateral triangle.

Therefore, the correct answer is C.

Answer 2

The next step that Adam should take in construction of an equilateral triangle after using a straight edge to construct the given line segment is;

Option B; Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

This is about steps involved in constructing an equilateral triangle which means 3 equal sides.

• First step; This first step entails drawing a line with the given measurement of the side of the equilateral triangle and label it AB

• Second step; This step entails placing the point of the compass at point A and opening the leg to touch point B which means length XR will be the width to be used to draw an arc.

• Step 3; The same process in step 2 is carried out but this time the point of the compass will be placed at point B and opening the second leg to touch point A which means length XR will be the width to be used to draw an arc to intersect the other one drawn.

• Step 4; The point of intersection is now joined by a straight line to points X & R respectively.

Thus, option B is the correct next step.

Read more at; brainly.com/question/3056624