Question

Geometry Constructing Segments

Directions: Use a compass and a straightedge to construct segments that are congruent to the line segments
below

1. Given: CD
Construct: EF such that CD is congruent to EF
c

2. Given: JK
Construct: LM, such that JK is congruent to LM

3.Given: EF
Construct: GH, such that GH is congruent to 2 EF
4. Draw a segment and label it OP. Construct a second segment labeled QR, such that
QR = 3OP
10:21

Answer 1

To construct segments congruent to given line segments, use a compass and a straightedge. Follow the steps for each given situation to accurately create the segments.

Step-by-step explanation:

To construct segments that are congruent to given line segments, we can use a compass and a straightedge. Here are the steps for each given situation:

1. Given: CD, Construct: EF such that CD is congruent to EF
   1. Place the compass at point C and set the distance equal to the length of CD.
   2. Draw an arc that intersects CD at two points, label them as E and F.
   3. Use the straightedge to draw segment EF.
2. Given: JK, Construct: LM such that JK is congruent to LM
   1. Place the compass at point J and set the distance equal to the length of JK.
   2. Draw an arc that intersects JK at two points, label them as L and M.
   3. Use the straightedge to draw segment LM.
3. Given: EF, Construct: GH such that GH is congruent to 2EF
   1. Place the compass at point E and set the distance equal to twice the length of EF.
   2. Draw an arc that intersects EF at two points, label them as G and H.
   3. Use the straightedge to draw segment GH.
4. Draw a segment and label it OP. Construct a second segment labeled QR, such that QR = 3OP
   1. Place the compass at point O and set the distance equal to three times the length of OP.
   2. Draw an arc that intersects OP at two points, label them as Q and R.
   3. Use the straightedge to draw segment QR.