Geometric Constructions: Congruent Segments Challenge

What tools are introduced for constructing a segment?

• Compass and straight edge

• Calculator and graph paper

• Ruler and protractor

• Pencil and eraser

What is the first step in constructing a segment?

• Draw a segment

• Use a ruler to draw a straight line

• Label the endpoints

• Measure the length of the segment

Why is it important not to measure the segment with units like inches or centimeters?

• To avoid errors

• To make it easier

• To ensure the process is purely geometric

• To save time

How do you determine where point B should go on the new segment?

• By measuring with a ruler

• By guessing

• By using a protractor

• By using a compass to replicate the distance

What is the purpose of drawing an arc with the compass?

• To draw a circle

• To mark the location of point B

• To find the midpoint

• To measure the length

What should you do if the compass slides while drawing the arc?

• Use a ruler instead

• Erase and try again

• Ignore it

• Continue drawing

How do you construct a segment that is twice as long as the original?

• Use the compass to replicate the segment twice

• Draw two segments side by side

• Measure the original segment and double it

• Guess the length

What is the final step to ensure the accuracy of the constructed segment?

• Measure it with a ruler

• Draw another segment

• Label the endpoints

• Check the distance with the compass

What should you do if the compass moves while creating the second arc?

• Ignore it

• Erase and try again

• Use a ruler instead

• Continue drawing

What is the new point called when constructing a segment twice as long?

• Point M

• Point L

• Point D

• Point C