3 points 1 On your own paper draw a scalene triangle AWUV 21

3 points 1) On your own paper, draw a scalene triangle, AWUV 21 Use what you have leamed about the perpendicular bisectors of a triangle to construct the three perpendicular Label this point C bisectors in AWUV. Label the midpoints X, Y and Z. 3) Verify that the perpendicular bisectors intersect at one point (caled the circumcenter Extended Response Question INSERT PICTURE HERE I WRITE YOUR RESPONSE HERE

Solution

Start answering the question by first drawing a triangle WUV using any preferred length. I n drawing a scalene triangle here using the lengths 6cm,4cm and any random length.

Scalene triangle means that the lengths of all the sides of the triangle are different.

step 1 - draw a horizontal base line of 6cm UW on the sheet.

step 2 - now draw a vertical line of 4cm from the U point of base line UW which is perpendicular to the point. This line is named as line segment UV.

step 3 - Now join the remaining ends that are point V and W with each other and you have your triangle WUV ready.

Step 4 - Now take the drafting compass and keep it pointed sharp edge on point W and extend it to the point U and mark two arcs, one on the top and one on the bottom of the horizontal line UW .Similarly keep the sharp edge of the compass on point U and extend it to the point W and cut the previous arcs, one on the top and one on the bottom of the horizontal line UW. Join the center of the both the arcs through a straight line. Label the point where the perpendicular bisector intersects the line UW as X.

Step 5 -Now take the drafting compass and keep it pointed sharp edge on point U and extend it to the point V and mark two arcs, one on the top and one on the bottom of the horizontal line UV .Similarly keep the sharp edge of the compass on point V and extend it to the point U and cut the previous arcs, one on the top and one on the bottom of the horizontal line UV. Join the center of the both the arcs through a straight line. Label the point where the perpendicular bisector intersects the line UV as Y.

Step 6 - Now take the drafting compass and keep it pointed sharp edge on point V and extend it to the point W and mark two arcs, one on the top and one on the bottom of the horizontal line WV .Similarly keep the sharp edge of the compass on point W and extend it to the point V and cut the previous arcs, one on the top and one on the bottom of the horizontal line WV. Join the center of the both the arcs through a straight line. Label the point where the perpendicular bisector intersects the line WV as z.

Step 7 - Now you have all of the perpendicular bisectors ready. You will notice that they all intersect at a same point . label this point as C.

Label all the points and you have a figure ready.