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kupik [55]
2 years ago
15

Please help me i will give brainliest

Mathematics
1 answer:
Irina-Kira [14]2 years ago
5 0

Answer:

Look below

Step-by-step explanation:

We know QS is parallel to RT, so that will be the first one. We also know that r is congruent to s, so add that if possible

Next, we have to use the alt. int. angles are congruent theorem, so we can say that angle QTR and angle SOT are congruent due to this rule.

Next we have to use reflexive property, and the only thing that fits is the transversal intersecting the parallel lines. So we can say that QT is congruent to TQ.

Then we can say that triangle SQT and triangle ROT are congruent due to SAS.

Finally, we can say angle QTS is congruent to angle TQR because of corresp. parts of congruent triangles are congruent(CPCTC for short)

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

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Why is it important to calculate the distance between two points on a cartesian coordinate plane?
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Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,

a

2

+

b

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|

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−

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1

|

and

|

y

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−

y

1

|

to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,

|

−

3

|

=

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|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.

c

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=

a

2

+

b

2

→

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It follows that the distance formula is given as

d

2

=

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

→

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

We do not have to use the absolute value symbols in this definition because any number squared is positive.

A GENERAL NOTE: THE DISTANCE FORMULA

Given endpoints

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the distance between two points is given by

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Step-by-step explanation:

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