Use the image to answer the question.

Question

An illustration shows two angles O E F and P C D. An arc intersects ray O E and O F. An arc intersects rays P C and P D and is itself intersected by a smaller arc at the intersection of ray P C and the larger arc. Ray P D is part of a larger line A P D B.

Omar constructed ∠CPD
as a copy of ∠EOF
. Which set of steps did he follow in order to construct a copy of the angle seen in the image?

(1 point)
Responses

Step 1: Draw auxiliary segment AB
and place point P
on the auxiliary segment.

Step 2: Measure the length of OF¯¯¯¯¯¯¯¯
using a compass and use that length to place point D
on the auxiliary segment by placing the pointed end of the compass on point P
and drawing an arc.

Step 3: Measure the length of FE¯¯¯¯¯¯¯¯
using a compass and use that length to draw another smaller arc above point D
by placing the pointed end of the compass on point D
.

Step 4: Place point C
at the intersection of the two arcs and draw a line connecting points E
and C
.

Step 1: Draw auxiliary segment upper A upper B and place point upper P on the auxiliary segment. Step 2: Measure the length of Modifying above upper O upper F with bar using a compass and use that length to place point upper D on the auxiliary segment by placing the pointed end of the compass on point upper P and drawing an arc. Step 3: Measure the length of Modifying above upper F upper E with bar using a compass and use that length to draw another smaller arc above point upper D by placing the pointed end of the compass on point upper D . Step 4: Place point upper C at the intersection of the two arcs and draw a line connecting points upper E and upper C .

Step 1: Draw auxiliary segment AB
.

Step 2: Measure the length of OF¯¯¯¯¯¯¯¯
using a compass and use that length to put point D
on the auxiliary segment by placing the pointed end of the compass on point P
and drawing an arc.

Step 3: Measure the length using a compass and use that length to draw another smaller arc above point D
by placing the pointed end of the compass on point D
.

Step 4: Place point C
at the intersection of the two arcs and draw a line connecting points E
and C
.

Step 1: Draw auxiliary segment upper A upper B . Step 2: Measure the length of Modifying above upper O upper F with bar using a compass and use that length to put point upper D on the auxiliary segment by placing the pointed end of the compass on point upper P and drawing an arc. Step 3: Measure the length using a compass and use that length to draw another smaller arc above point upper D by placing the pointed end of the compass on point upper D . Step 4: Place point upper C at the intersection of the two arcs and draw a line connecting points upper E and upper C .

Step 1: Draw auxiliary segment AB
and place point P
on the auxiliary segment.

Step 2: Measure the length of OF¯¯¯¯¯¯¯¯
using a compass and use that length to place point D
on the auxiliary segment by drawing an arc.

Step 3: Place point C
on the arc constructed.

Step 4: Draw a line connecting points E
and C
.

Step 1: Draw auxiliary segment upper A upper B and place point upper P on the auxiliary segment. Step 2: Measure the length of Modifying above upper O upper F with bar using a compass and use that length to place point upper D on the auxiliary segment by drawing an arc. Step 3: Place point upper C on the arc constructed. Step 4: Draw a line connecting points upper E and upper C .

Step 1: Draw auxiliary segment AB
and place point P
on the auxiliary segment.

Step 2: Measure the length of EF¯¯¯¯¯¯¯¯
using a compass and use that length to draw an arc by placing the pointed end at point P
.

Step 3: Without changing the size of the compass, draw another arc that intersects the first arc by placing the pointed end of the compass on point C
.

Step 4: Place point C
at the intersection of the two arcs and draw a line connecting points E
and C
.

Answer 1

Step 1: Draw auxiliary segment AB and place point P on the auxiliary segment.
Step 2: Measure the length of OF¯¯¯¯¯¯¯¯ using a compass and use that length to place point D on the auxiliary segment by placing the pointed end of the compass on point P and drawing an arc.
Step 3: Measure the length of FE¯¯¯¯¯¯¯¯ using a compass and use that length to draw another smaller arc above point D by placing the pointed end of the compass on point D.
Step 4: Place point C at the intersection of the two arcs and draw a line connecting points E and C.