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3 years ago

Triangle Congruence Theorems

Mathematics

1 answer:

elixir [45]3 years ago

3 0

Triangle Congruence Theorems

Use the triangle congruence theorems below to prove that two triangles are congruent if:
Three sides of one triangle are congruent to three sides of another triangle (SSS: side side side)
Two sides and the angle in between are congruent to the corresponding parts of another triangle (SAS: side angle side)
Two angles and the side in between are congruent to the corresponding parts of another triangle (ASA: angle side angle)
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle (AAS: angle angle side)
The hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle (HL: hypotenuse leg)

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The diagram shows a part of a regular 10 sided polygon<br> work out the size of the angle marked x

OverLord2011 [107]

Answer:

Step-by-step explanation:

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3 years ago

There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25.

katen-ka-za [31]

N=d-2
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3 years ago

(1×10,000)+(3×100)+(5×10)+(9× 1/10 )+(8× 1/100 ) as a decimal number.

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Answer:

10350.98

Step-by-step explanation:

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3 years ago

Draw an obtuse angle big. place a point p inside the angle. now construct perpendiculars from the point to both sides of the ang

never [62]

I have drawn three obtuse angles showing three different positions.

then taken a point p inside it.

Now to draw perpendicular from a point to a given line

we draw a line parallel fom that point to that given line.

After that from that point we draw perpendicular to that line.

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3 years ago

Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya. How old is Elliot now?

Serggg [28]

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

Age Now Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

Age Now Age 10 years ago

Tanya x

Elliot 2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

Age Now Age 10 years ago

Tanya x x - 10

Elliot 2x 2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

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3 years ago