All categories

3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

6 0

Answer:

The answer is SAS.

Side Angle Side

Elena L [17]3 years ago

5 0

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

You might be interested in

The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain T

Anna [14]

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

The input is x, which is the number of minutes.

The output is f(x), which is the cost of playing the game for x minutes.

Talisa's expression is given by:

$f(x) = 12x$

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

$c = \frac{1}{12}$

And the correct expression for the cost is:

$f(x) = \frac{x}{12}$

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at brainly.com/question/24372153

3 0

2 years ago

I NEED HELP FASTT!!! PLEASE

AysviL [449]

Answer:

Step-by-step explanation:

8x - 6 > 12 + 2x

Subtract 2x from each

8x -2x -6 > 12+2x-2x

6x -6 > 12

Add 6 to each side

6x -6+6 > 12+6

6x > 18

Divide by 6

6x/6 > 18/6

x > 3

The only value greater than 3 is 5

4 0

3 years ago

Read 2 more answers

There are 4 fewer cats than dogs. There are 2 cats. How many dogs are there?

allsm [11]

Answer:

there are 6 dogs

Step-by-step explanation:

x = dogs

x= 2 + 4

x = 6

8 0

3 years ago

Read 2 more answers

(1,3),(2,6),(3,9),(4,12)

IgorC [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What are the postulates for congruent triangles

Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

1. SSS (Side, Side, Side)

Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

2. SAS (Side, Angle, Side)

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

3. ASA (Angle, Side, Angle)

Means that we have two triangles where we know 2 angles and the included side are equal.

⇒ If 2 angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

4. AAS (Angle, Angle, Side)

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

5. HL (Hypotenuse, leg)

** This one only applies to right-angled triangles.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

3 years ago