Construction Instructions and Videos

Question

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Constructions Notes/Videos

Question 1
1. Frankie constructed AB¯¯¯¯¯¯¯¯
using a compass and a straightedge. He then placed point C so that it was not on the segment he just constructed, as shown in the image. What is the next step Frankie must take to construct a copy of AB¯¯¯¯¯¯¯¯
using point C as one of the endpoints?

(4 points)
Responses

use a compass, measure the distance between points A and B
use a compass, measure the distance between points A and B

use a compass, measure the distance between points A and `C`.
use a compass, measure the distance between points A and `C`.

use a compass, measure the distance between points B and `C`.
use a compass, measure the distance between points B and `C`.
Question 2
2a. Sally constructed ∠AOB
with OC−→−
as an angle bisector of ∠AOB
. If the measure of ∠AOB
is 84 degrees, what is the measure of ∠AOC
?

(2 points)
Responses

42°
42degree

24°
24degree

84°
84degree

168°
168degree
Question 3
Show ALL work to earn credit. Either type your work below or upload an image. (2 points)
0 / 10000 Word Limit
Question 4
3. Which statement is true for the slopes of parallel lines?

(4 points)
Responses

Parallel lines have slopes that are undefined
Parallel lines have slopes that are undefined

Parallel lines have slopes that are negative reciprocals of each other
Parallel lines have slopes that are negative reciprocals of each other

Parallel lines have a slope of zero
Parallel lines have a slope of zero

Parallel lines have the same slope
Parallel lines have the same slope
Question 5
4. If a triangle has sides that measure 8cm and 12cm, which of the following could be the third side?(2 points)
Responses

24 cm
24 cm

5 cm
5 cm

3 cm
3 cm

20 cm
20 cm
Question 6
Show ALL work in order to earn credit. Either type your work below or upload an image.(2 points)

please make it a paragragh and easy to copy and paste. thank you
0 / 10000 Word Limit
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Answer 1

Question 1
To construct a copy of segment AB using point C as one of the endpoints, Frankie must first use a compass to measure the distance between points A and B. This distance will then be used to draw a new segment starting from point C.

Question 2
Since OC is the angle bisector of angle AOB, and the measure of angle AOB is 84 degrees, we can determine the measure of angle AOC by dividing the measure of angle AOB by 2. Therefore, the measure of angle AOC is 42 degrees.

Question 3
(Your answer will depend on the specific problem given. Please provide the details for an appropriate response.)

Question 4
The correct statement regarding the slopes of parallel lines is that they have the same slope. This means that if two lines are parallel, they will never intersect, and their slopes will be equal to one another.

Question 5
To determine what could be the length of the third side of a triangle where two sides measure 8 cm and 12 cm, we can apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore:

1. The third side must be less than the sum of the other two sides: 8 cm + 12 cm > third side → 20 cm > third side.

2. The third side must be greater than the difference of the other two sides: |12 cm - 8 cm| < third side → 4 cm < third side.

Thus, the valid options for the third side must fall within the range: greater than 4 cm and less than 20 cm. Therefore, the only possible side lengths among the options provided are 5 cm and 3 cm. However, the only length that fits the criteria is 5 cm.

Question 6
(Your answer will depend on the specific problem given. Please provide the details for an appropriate response.)