1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
koban [17]
3 years ago
10

In the straightedge and compass construction of the equilateral triangle below, which o the following reasons can you use to pro

ve that ABC = BCA?

Mathematics
2 answers:
Elodia [21]3 years ago
3 0

Answer:

Option 1 is the correct answer.

Step-by-step explanation:

In first circle AC ≅ AB radii of same triangle. Similarly in second circle sides AB ≅ BC radii of second circle.

Since AC ≅ AB and AB ≅ BC

Therefore AC ≅ BC ≅ AB

Since all the sides of the triangle ABC are equal therefore triangle is an equilateral triangle.

And we know in an equilateral triangle all the angles are equal so ∠ABC = ∠BCA.

Option 1 is the answer.

Oxana [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

In the figure both circles are congruence because radius AB=radius AC of one circle  and radius AB = radius BC of the other circle ( radii of circles are same ). Therefore line segment AB = line segment BC= line segment AC but these are the sides of the triangle ABC. So Δ ABC is an equilateral triangle .

But we know that an equilateral Δ has three equal angles and  we say that ∠ABC=∠BCA. Hence we can use the reason A,  to prove the ∠ABC =∠BCA.

You might be interested in
Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep
Viktor [21]

<u>Answer:</u>

Consistent and dependent

<u>Step-by-step explanation:</u>

We are given the following equation:

1. 3x+6y-12z=36

2. x+2y-4z=12

3. 4x+8y-16z=48

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with x+2y-4z=12 which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

6 0
3 years ago
Help <br>I need to know what this is asap​
RSB [31]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What city is this please no links
Artist 52 [7]

Answer:

fantasy if its wrong im sorry

7 0
3 years ago
Read 2 more answers
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! AHH
aev [14]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the q1 of 531 469 573 206 374 421 505 489 702
Galina-37 [17]

Answer: Order the data to find the minimum, maximum, and quartiles.

206, 374, 421, 469, 489, 505, 531, 573, 702.

Step-by-step explanation: I hoped this helped in some way or form.

6 0
3 years ago
Other questions:
  • Two roads that cross at right angles are used as coordinate axes for a map. A library is located at point L . Use the drop-down
    11·1 answer
  • There are currently 20 members in the school's Ski Club and the dues are $10 per member. To encourage the recruiting of new memb
    11·1 answer
  • Two functions are graphed on the coordinate plane.
    11·1 answer
  • What are the characteristics of the graph of the inequality x&gt;-2
    7·1 answer
  • This is for my sis plz help her(im a nice older sis)<br> 1. 23/40-11/30 answers(0, 1, 1/2)
    9·1 answer
  • Whos good at geometry? well feel free to help!
    13·1 answer
  • 1. 108 identical books have a mass of 30 kg. Find
    15·1 answer
  • Why does the square root of 3 x the square root of 3 = 3?
    9·2 answers
  • Find the slope<br><br> A) -6<br> B) 6<br> C) -1/6<br> D) 1/6
    9·2 answers
  • The solutions of the equation y? - 6x + 4 = 0 can be written as a+ Vb.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!