Saadiq constructed ∠BAC and an auxiliary segment where he placed point D at one end. With the help of a compass and straightedge, what next step should Saadiq do to construct a copy of ∠BAC ?
(1 point)
Responses
Saadiq needs to draw an arc on the auxiliary segment using point D.
Saadiq needs to draw an arc on the auxiliary segment using point upper D .
Saadiq needs to measure the distance between point B and point C.
Saadiq needs to measure the distance between point upper B and point upper C .
Saadiq needs to draw an arc through the sides of ∠BAC.
Saadiq needs to draw an arc through the sides of angle upper A upper B upper C .
Saadiq needs to measure the distance between point A and point B.
Saadiq needs to draw an arc on the auxiliary segment using point D.
Fernanda constructed ∠CAB . She then constructed a copy of ∠CAB and labeled it as ∠FDE . Fernanda measures ∠FDE to be 59° . What is the measure of the original angle, ∠CAB , she constructed?
(1 point)
Responses
The measure of ∠CAB is 59 inches.
The measure of angle upper C upper A upper B is 59 inches.
The measure of ∠CAB is 118 inches.
The measure of angle upper C upper A upper B is 118 inches.
The measure of ∠CAB is 118°.
The measure of angle upper C upper A upper B is 118 degrees .
The measure of ∠CAB is 59°.
The measure of ∠CAB is 59°.
Jade constructed ∠cBa and then constructed a copy of ∠cBa and labeled it as ∠fEd . What must be true about the two angles she constructed?
(1 point)
Responses
The copy of the angle was constructed using only a straightedge.
The copy of the angle was constructed using only a straightedge.
∠fEd has twice the measure of ∠aBc.
angle f upper E d has twice the measure of angle a upper B c .
∠fEd was made by drawing two rays from point E the same length as aB¯¯¯¯¯¯¯.
angle f upper E d was made by drawing two rays from point upper E the same length as Modifying above a upper B with bar .
The angles have congruent measurements.
The angles have congruent measurements.
Anika constructed ray AC that bisected ∠A . If the m∠BAD is 46 degrees, what is the m∠BAC ?
(1 point)
Responses
The m∠BAC is 92 degrees.
The m angle upper B upper A upper C is 92 degrees.
The m∠BAC=m∠DAC.
The m angle upper B upper A upper C equals m angle upper D upper A upper C .
The m∠BAC is 46 degrees.
The m angle upper B upper A upper C is 46 degrees.
The m∠BAC is 23 degrees.
The m∠BAC is 46 degrees.
Laci constructed ∠PQR with line segments QC¯¯¯¯¯¯¯¯ , AC¯¯¯¯¯¯¯¯ , and BC¯¯¯¯¯¯¯¯ , as shown in the image. Which line segment is the angle bisector of ∠PQR ?
(1 point)
Responses
Line segment AC¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR.
Line segment Modifying above upper A upper C with bar is the angle bisector of angle upper P upper Q upper R .
Line segment QP¯¯¯¯¯¯¯¯ s the angle bisector of ∠PQR.
Line segment Modifying above upper Q upper P with bar s the angle bisector of angle upper P upper Q upper R .
Line segment QC¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR.
Line segment Modifying above upper Q upper C with bar is the angle bisector of angle upper P upper Q upper R .
Line segment BR¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR.
Line segment QC¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR.
To construct a copy of ∠BAC, Saadiq needs to follow these steps:
1. Draw the auxiliary segment with point D at one end.
2. With the help of a compass, place the needle on point B and draw an arc crossing the auxiliary segment. The center of the compass should be on point D.
3. Without changing the compass width, place the needle on point C and draw another arc crossing the first arc.
4. The intersection point between the two arcs will be the vertex of the copied angle, let's call it point E.
5. Connect point A with point E, and this line will be the copy of ∠BAC.