Question

Use a straightedge and a compass to construct a triangle with 2 sides having the same length. Describe the process you used. Now use a protractor to measure each angle of the triangle. What are the measures of each angle?

Answer 1

hi. i think i can help, if you like

Answer 2

Yes please.

Answer 3

ok. use a straightedge (ruler) to draw a straight line.

Answer 4

in the middle of your page. tell me when you are done

Answer 5

Okay

Answer 6

now take your compass and put it on a point close to the endpoint (either side) of the line and make a little hash mark

Answer 7

tell me when you are done

Answer 8

I don't have a compass though. D:

Answer 9

notice the directions 'take a straightedge and a compass...'

Answer 10

Yeah I know. Do you have a compass?

Answer 11

well, no, but it would not help you if i did. however, you can tie a pencil to a piece of string and make a rudimentary compass

Answer 12

do you have any string?

Answer 13

i can still walk you through this if you can use a string.

Answer 14

still there?

Answer 15

Sorry I left a minute there. I didn't see any string around me house. I guess there's not much else you can do for me then haha. Thanks for trying though.

Answer 16

i can give you some directions that you can copy if you like

Answer 17

Okay, that would be nice.

Answer 18

sure.. so you already drew a line. make sure it is at least about 4-5 in long.

Answer 19

next, take the compass you will have soon and put the point of the compass on the line, somewhere near the end of the line. It can be on either side.

Answer 20

Take your compass and draw a small arc across the line. DO NOT change the size of your compass yet.

Answer 21

now, take the point of the compass and put it where the arc and the line intersect or where they meet

Answer 22

and draw a small arc on the other side of the line

Answer 23

make sure that the radius of your compass is not greater than the length of your line.

Answer 24

so now you have a line with two small arcs

Answer 25

intersecting it

Answer 26

Okay..thank you. :D

Answer 27

now increase the size of your compass radius

Answer 28

draw an arc that goes above the midpoint of your two points of intersection. Make the arc generous, not too small (about an inch or two long)

Answer 29

set your compass on the left point of intersection on the line when you draw the arc

Answer 30

once you finish the left arc. do the same thing again, placing your compass point on the line on the right hand point of intersection.

Answer 31

The two arcs you have drawn (above the midpoint of the line) should intersect

Answer 32

you should then have 3 points of intersection, two on the line and one above it

Answer 33

connect the points of intersection on the line to the point of intersection above the line to create the sides of your triangle

Answer 34

use your straightedge to do this.

Answer 35

you will then have an isosceles triangle (one with at least two sides of equal length). Use the protractor to measure the base angles of the triangle. write it down, and you are done

Answer 36

do you have an questions?

Answer 37

I don't have any questions..you covered it all. Thanks a bunch!

Answer 38

you are welcome
take care, and get a compass soon lol