Question

Ammar is constructing an angle congruent to ∠MNP . With his straightedge, he draws and labels DE−→− . He places the compass point on point N and draws an arc that intersects NM−→− and NP−→− . He labels the point where the arc intersects ​ NM−→− ​ as point Q and the point where the arc intersects ​ NP−→− ​ as point R. Without changing the compass opening, he puts the compass point on point D and draws a long arc that intersects ​ DE−→−​. He labels the point of intersection as point F.

What is Ammar's next step?

a. Without changing the compass opening, put the compass point on point F and draw an arc.

b.Open the compass so that the compass point is on point Q and the pencil point is on point R. Then put the compass point on point D and draw an arc.

c.Open the compass so that the compass point is on point Q and the pencil point is on point R. Then put the compass point on point F and draw an arc.

d.Without changing the compass opening, put the compass point on point D and draw an arc.

Answer 1

Ammar's next step is point C

Further explanation

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

There are several steps used to copy the MNP angle:

1. Draw the DE line

2.Places the compass point on point N and draws an arc that intersects NM (point Q) and NP (Point R)

3.Without changing the compass opening, put the compass point on point D and draw a long arc that intersects DE (point F)

4. Open the compass so that the compass point is on point Q and the pencil point is on point R. Then put the compass point on point F and draw an arc (intersect with the arc in step 3, and at this point we name it G)

5. Draw a line from point D to point G

Then the MNP is congruent to the EDG

Learn more

ABC copying angle

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Keywords: angle, copying, compass, arc

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