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Neko [114]
2 years ago
10

Explain how the angle-angle-side congruence theorem is

Mathematics
1 answer:
lisov135 [29]2 years ago
7 0

These thoughts show you that AAS theorem is straight extension of ASA theorem.

<h3>What is Triangle?</h3>

A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.

ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Consider two triangles ΔABC and ΔA'B'C' .

If        m∠A = m∠A'

and   m∠B = m∠B'

         AB = A'B'

then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.

Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.

Learn more about Triangle from:

brainly.com/question/2773823

#SPJ1

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Write x2 - 2x + 5 = 0 in vertex form. (Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)
Drupady [299]
To write the given quadratic equation to its vertex form, we first form a perfect square.
 
                x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
                x² - 2x = -5
Complete the square in the left side of the equation,
              x² - 2x + (-2/1(2))² = -5 + (-2/1(2))² 
Performed the operation,
                x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
               (x - 1)² = -4

Thus, the vertex form of the equation is,
          <em>  (x-1)² + 4 = 0</em>
4 0
3 years ago
In science class the girl to boy ratio is 6 to 2. If there are 30 girls how many boys are there?
schepotkina [342]

Answer:

10 boys

Step-by-step explanation:

6:2 simplfies to 3:1 30 / 3 = 10

30:10 simplfies down to 6:2

8 0
4 years ago
Read 2 more answers
Please help me with this math
Montano1993 [528]

Answer:

um I don't understand it pls be more specific and I will help

8 0
2 years ago
F(-1)=-3 and g(-1)=5
valentinak56 [21]

Answer:

What do you have to do what is the question asking


Step-by-step explanation:


7 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
gulaghasi [49]

Answer:  (C) shifts 6 units to the LEFT

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

The vertex form of an absolute value equation is:

y = a |x - h| + k    where;

  • a is the vertical stretch (irrelevant for this problem)
  • (h, k) is the vertex

Since h represents the x-coordinate and the x-axis is left to right, then h shifts  the graph left or right.

  • If h is negative, the graph shifts to the left.  
  • If h is positive, the graph shifts to the right.

x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.

8 0
3 years ago
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