Draw a line with 3 distinct points on it. Label each with a different letter. how many different rays can you name using only the 3 given points?
A) 8
B) 6
C) 4
D) 2
Math 6B Unit 2, Tools of Geometry
Points, Lines, Angles, and Triangles Quiz Part 1
1) Use the points in the diagram to name the figure shown, then identify the type of figure.
A: CD, line ***
B: DC, Ray
C: CD, Ray
D: CD, segment
2) Draw a line with 3 distinct points on it. Label each with a different letter. How many different ways can you name using only three given points?
A: 8
B: 6
C: 4***
D: 2
3) use the diagram below to answer the question. Identify a segment parallel to HG
A: EF***
B: HE
C: DC
D: GF
4) The measure of angle a is 124 degrees. What is the correct classification for angle A?
A: Acute
B: Right
C: Obtuse***
D: Straight
5) Find the complement of an angle with a measure of 72 degrees.
A: 162 degrees
B: 18 degrees***
C: 252 degrees
D:108 degrees
6) Find the value of x in the figure
A: 205 degrees
B:65 degrees***
C:115 degrees
D:155 degrees
7) The measures of two angles of a triangle are 36 degrees and 71 degrees. Find the measure of the third angle, and classify the triangle according to its angles.
A: 199 degrees, acute
B:199 degrees, right
C:173 degrees, acute***
D: 73 degrees, right
8) What is the correct way to classify the triangle shown below?
A: Acute, isosceles
B: Obtuse, isosceles
C: Acute, scalene
D: Obtuse, scalene***
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please help me!!
you know that it takes 2 points to define a ray, right
so, how many ways can you choose 2 points from 3?
3P2 = 3*2 = 6
That is, you can pick any point for the start of the ray,
then choose any of the others to indicate the direction.
But, if the points are A,B,C in that order, then
ray AC is the same as ray AB.
So that changes things, right? See what you can do with that.
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To determine the number of different rays that can be named using the 3 given points on a line, let's understand what a ray is. A ray is a part of a line that has one endpoint and extends infinitely in one direction.
In this case, we have 3 distinct points on the line, labeled A, B, and C. To name a ray, we need to select one of the points as the endpoint and extend the ray in one direction.
Let's go through the possibilities:
1. Selecting point A as the endpoint:
- We can extend the ray towards point B.
- We can extend the ray towards point C.
This gives us 2 rays: AB and AC.
2. Selecting point B as the endpoint:
- We can extend the ray towards point A.
- We can extend the ray towards point C.
This gives us 2 rays: BA and BC.
3. Selecting point C as the endpoint:
- We can extend the ray towards point A.
- We can extend the ray towards point B.
This gives us 2 rays: CA and CB.
Therefore, by considering all the possible endpoints at each of the given points, we can name a total of 6 different rays: AB, AC, BA, BC, CA, and CB.
The correct option is B) 6.