1. No category

Name
1-6A
Class
Date
Practice Worksheet
Basic Constructions
For Exercises 1–13, do the construction using the figures below. Check your work with a ruler or a
protractor.
1. Construct AB congruent to XY .
2. Construct a triangle whose sides are all the same length as XY .
3. Construct AB so that AB = MN + OP.
4. Construct KL so that KL = OP  MN.
5. Construct QR congruent to BC .
6. Construct LM so that LM = 3BC.
7. Construct XY so that XY = RS + TU.
8. Construct A so that mA = m1 + m2.
9. Construct B so that mB = m1  m2.
10. Construct C so that mC = 2m2.
11. Construct D so that mD = 2m1.
12. Construct E so that E  3.
3
13. Construct F so that mF = 2m3.
14. Draw a segment ST .
a. Construct a right triangle with two sides that have the measure
1
2
ST.
15. Draw a segment. VW
a. Construct a square ABCD whose sides have length VW.
Tell whether the statement is true or false. If false, rewrite the statement correctly.
16. To construct a congruent segment, first draw a ray. Then open the compass to the length
of the original segment.
17. The steps for constructing B  E are listed below in the
wrong order. Rewrite the steps in the correct order.
A. Open the compass to the length of DF. Using this setting,
put the compass point on C. Draw an arc to locate point A.
B. Draw BA .
C. Put the compass point on E and draw an arc that intersects
the sides of E. Label the points of intersection D and F.
D. Draw a ray with endpoint B.
E. Keep the compass on the same setting. Then put the point
of the compass on B and draw an arc. Label the point of
intersection with the ray as C.
For Exercises 18 and 19, copy 1 and 2. Construct each angle described.
18. R; mR = m1 + m2
19. S; mS = m2 − m1