Question

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) 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. 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 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 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 at the intersection step 4: draw a line connecting points e and c

Explanation:

Step1: Draw auxiliary line

Draw auxiliary segment $AB$ and place point $P$ on it. This gives a base - line for constructing the new angle.

Step2: Copy one side length

Measure the length of $\overline{EF}$ using a compass and use that length to draw an arc by placing the pointed - end at point $P$. This starts to replicate the structure of the original angle $\angle EOF$.

Step3: Copy the other side length

Without changing the size of the compass, draw another arc that intersects the first arc by placing the pointed - end of the compass on the intersection point (let's call it $C$). This finalizes the shape of the new angle.

Step4: Complete the angle

Place point $C$ at the intersection of the two arcs and draw a line connecting points $P$ and $C$. This forms $\angle CPD$ which is a copy of $\angle EOF$.

Answer:

Step 1: Draw auxiliary segment $AB$ and place point $P$ on the auxiliary segment.
Step 2: Measure the length of $\overline{EF}$ 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 $P$ and $C$.