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natka813 [3]
1 year ago
15

Which postulate or theorem would you use to prove the triangles congruent?; Which pair of triangles Cannot be proved congruent?;

What is the AAS theorem?; What is SAS ASA and SSS congruence postulates?
Mathematics
1 answer:
Lunna [17]1 year ago
6 0

Proving triangles are congruent triangles uses theorems (postulates), the Angle Side Angle (ASA), Side Angle Side (SAS), Side Side Side (SSS), and AAS (Angle-Angle-Side).  Two triangles with equal corresponding angles may not be congruent to each other because one triangle might be an enlarged copy of the other.

Triangles that have exactly the same size and shape are called congruent triangles. The congruent triangles can be used using the Angle Side Angle (ASA), Side Angle Side (SAS), Side Side Side (SSS), and AAS (Angle-Angle-Side) theorems.

Angle Side Angle (ASA) theorem states that if any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent.

Side-angle-side (SAS) theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Side Side Side (SSS) theorem states that if all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent.

AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

Learn more about Congruent triangles:

brainly.com/question/1675117

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16

Step-by-step explanation:

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Insects known as walking sticks move very slowly. They can move 2 inches every 5 seconds. At this rate, how far could a walking
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3 years ago
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-3+(-6) is ___ units from -3 in the positive or negative direction.
Lisa [10]

Answer:

-3+(-6) = -9

Step-by-step explanation:

a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9

3 0
3 years ago
B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.
finlep [7]

Answer:

\text{Probability}=\frac{1}{3}

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}

\text{Probability}=\frac{2}{6}

\text{Probability}=\frac{1}{3}

8 0
3 years ago
Someone do this please cause i fell asleep in class
aalyn [17]
Gas in July is 2.3 times Gas in June
That means Gas in July (252.57) equals 2.3 times gas in June, or “n”
242.57= 2.3 x n and solve for n
Divide both sides by2.3
Calculator gives 105.465
Rounded to nearest HUNDRED is 100

Rounded to nearest HUNDREDTH would be 105.47
Check the answer to see if July gas is 2.3 times June gas
June gas 105.47 x 2.3 is 242.57
So the answer is 105.47 Rounded to nearest hundredth
8 0
3 years ago
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