1. When drawing a line segment XYcongruent to the given segment AB using a straightedge and a compass, the compass should be used to a. Draw an arc above point A b. Measure the length of AB. c. Draw an arc between point A and Point B d. Measure half the length of the segment AB. 2. What geometric construction is shown in the diagram? a. An angle bisector b. An angle congruent to a given angle c. A line parallel to a given line d. A midpoint and perpendicular bisector of a segment 3. Which diagram shows the appropriate geometric construction using a compass and a straightedge to bisect an angle? а. с. b. d.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Kindly answer items 1, 2 and 3. Please choose the correct option.
![1. When drawing a line segment XYcongruent to the given segment AB using a
straightedge and a compass, the compass should be used to
a. Draw an arc above point A
b. Measure the length of AB.
c. Draw an arc between point A and Point B
d. Measure half the length of the segment AB.
2. What geometric construction is shown in the diagram?
a. An angle bisector
b. An angle congruent to a given angle
c. A line parallel to a given line
d. A midpoint and perpendicular bisector of a segment
3. Which diagram shows the appropriate geometric construction using a compass
and a straightedge to bisect an angle?
а.
с.
b.
d.
ports](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2545174-7115-44b0-87a6-bdaf90fb791f%2F52558a6e-6f17-4f7b-939d-1618bec1c212%2Fup6trwl_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)