Question

Ava constructed TP¯¯¯¯¯¯¯
, as shown in the image. She then constructed RA¯¯¯¯¯¯¯¯
as a copy of TP¯¯¯¯¯¯¯
. If TP=189.34
millimeters, what is the measure of RA¯¯¯¯¯¯¯¯
?

(1 point)
The measure of RA¯¯¯¯¯¯¯¯
is
millimeters.
Answer
Jouri constructed PT¯¯¯¯¯¯¯
using a compass and straightedge. She then placed point W
so that it was not on the segment she just constructed, as shown in the image. What is the next step Jouri must take to construct a copy of PT¯¯¯¯¯¯¯
using point W
as one of her endpoints?

Option #1: Using a compass, measure the distance between point P
and point W
.

Option #2: Using a compass, measure the distance between point T
and point W
.

Option #3: Using a compass, measure the distance between point T
and point P
.

(1 point)
The next step Jouri needs to take is Option #
.
Answer
Aimee constructed GF←→
, a line segment bisector of AB¯¯¯¯¯¯¯¯
, which passes through point C
. If AB=4
units, what is AC
?

(1 point)
AC=
Answer
Melvin has a line segment on his paper. He wants to construct a line segment bisector using the paper folding method. He has forgotten the steps to complete this construction. Help him by putting the following steps into the correct order.

Option #1: Use a straight edge to draw a line through the point you have created.
Option #2: Fold one endpoint of the line segment onto the other.
Option #3: Unfold the paper and label the intersection of the fold and the line segment with a point.

(2 points)
The first step is Option #
. The second step is Option #
. The third step is Option #
Answered by GPT 3.5
Since TP¯¯¯¯¯¯¯ and RA¯¯¯¯¯¯¯¯ are copies of each other, they have the same length. Therefore, the measure of RA¯¯¯¯¯¯¯¯ is also 189.34 millimeters.
Answered by GPT 3.5
The next step Jouri needs to take is Option #3: Using a compass, measure the distance between point T and point P. This will allow her to create a copy of segment PT¯¯¯¯¯¯¯ with W as one of the endpoints.
Answered by GPT 3.5
Since GF←→ is a line segment bisector of AB¯¯¯¯¯¯¯¯ and it passes through point C, point C must be the midpoint of AB¯¯¯¯¯¯¯¯. Therefore, AC is half the length of AB. If AB = 4 units, then AC = 4/2 = 2 units.

So, AC = 2 units.
Answered by GPT 3.5
The first step is Option #2: Fold one endpoint of the line segment onto the other. This will create a crease on the paper.

The second step is Option #1: Use a straight edge to draw a line through the point you have created. This line will be the bisector of the original line segment.

The third step is Option #3: Unfold the paper and label the intersection of the fold and the line segment with a point. This point will be the midpoint of the original line segment, which is the point that the line segment bisector passes through.