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 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
.

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 E upper F with bar using a compass and use that length to draw an arc by placing the pointed end at point upper 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 upper C . 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 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 P
and C
.

Answer 1

To construct an angle ∠CPD as a copy of ∠EOF, the correct steps from the provided options are:

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.

So, the best response would include those steps summarized accurately without needing alterations in notation. It confirms the correct use of arcs and positioning to replicate the angle construction accurately.