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Neko [114]
1 year ago
10

Explain how the angle-angle-side congruence theorem is

Mathematics
1 answer:
lisov135 [29]1 year 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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HELP PLEASE<br><br><br><br> ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
fgiga [73]

Answer:

HI, IG, GH

Step-by-step explanation:

First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.

6 0
3 years ago
nina wants to put color tiles on a square . 3 color tiles fit acroos the top of the square . how many rows and colum of tiles wi
pickupchik [31]
She will use 3 rows of 3 squares, for a total of 9 squares.

Since the shape she is covering is a square, all of the sides are equal.  If 3 square tiles fit across the width of the top, then 3 square tiles fit across the length of it as well.  This makes 3 by 3, or 9 squares.
8 0
3 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
seropon [69]

We need 56 pints of the 55 % <em>pure fruit</em> juice and 84 pints of the 80 % <em>pure fruit</em> juice to prepare 140 pints of 70 % <em>pure fruit</em> juice.

<h3>How to use weighted averages to find the correct juice concentration</h3>

In this problem we have to use two kinds of juice with different concentrations. To get a certain concentration, we must adjust quantities of each kind and <em>weighted</em> averages offers a method that is easy to apply:

70 · 140 = 55 · x + 80 · (140 - x)

70 · 140 = 80 · 140 - 25 · x

25 · x = 10 · 140

x = 56

We need 56 pints of the 55 % <em>pure fruit</em> juice and 84 pints of the 80 % <em>pure fruit</em> juice to prepare 140 pints of 70 % <em>pure fruit</em> juice.

To learn more on weighted averages: brainly.com/question/28042295

#SPJ1

7 0
2 years ago
A pair of vertical angles may also form a linear pair true or false
AVprozaik [17]
This statement is obviously FALSE because the vertical angles are congruent, whatever is the measure of one the two angle, but the linear pair is two angles that lie next to each other and their measures add up to 180 degrees. The linear pair is also a pair of adjacent angles formed by intersecting lines.
8 0
3 years ago
The length of an insect’s wing, drawn at a scale of 50:1, is 15 cm. What is the actual length of the wing?
MaRussiya [10]
The answer is 750.
15×50=750.
3 0
3 years ago
Read 2 more answers
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