A point (x, y) gets translated to the image (9,17) under translation ((𝑥, 𝑦) → (𝑥 − 2, 𝑦 − 1). Find the coordinates of the original point.

Segments OA and OB are radii of the semicircle above. Arc AB has length 3π and OA = 5. What is the value of x ?

A semicircle is formed when a lining passing through the center touches the circle's two ends. As a result of joining two semicircles, we get a circular shape.
A circle is a collection of points equidistant from the circle's center. A radius is a common distance between the center of a circle and its point.
¶Area of a semicircle = 1/2 (π r2)
where r is the radius.
The value is 3.14 or 22/7.
¶Semi circle Formula
¶

¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶

Area	(πr2)/2
Perimeter (Circumference)	(½)πd + d; when diameter (d) is known πr + 2r
Angle in a semicircle	¶90 degrees, i.e., right angle ¶
Central angle	180 degrees

Segments OA and OB are radii of the semicircle above. Arc AB has length 3π and OA = 5. What is the value of x ?

¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶

Area	(πr2)/2
Perimeter (Circumference)	(½)πd + d; when diameter (d) is known πr + 2r
Angle in a semicircle	¶90 degrees, i.e., right angle ¶
Central angle	180 degrees

𝐴𝐵 → 𝐶𝐷 is a rotation. Which of the following statements is true?

In the figure, ABCD is a trapezium with $AB parallel to CD$ . Find the area of trapezium if $A B space equals 10 cm comma BC equals 6 cm comma CD equals 20 cm comma DA equals 8 cm$

In △ ABC and △ DEF , ∠A ≅ ∠D, ∠B ≅ ∠E , then ∠C ≅ ?

The table above shows two pairs of values for the linear function f. The function can be written in the form $left parenthesis x right parenthesis equals a x plus b$ , where a and b are constants. What is the value of a + b ?

Note:
We can take a different approach to solving the linear equations. The above method is called method of elimination. We may also use the method of substitution; which is finding the values one variable, say a , in terms of b , from the first equation and replacing this value in the second equation to get a linear equation in one variable , b . Then solve it to find b, and use it in the previous equation to find a.

The table above shows two pairs of values for the linear function f. The function can be written in the form $left parenthesis x right parenthesis equals a x plus b$ , where a and b are constants. What is the value of a + b ?

Find the value of x.

The lengths of two adjacent sides of a parallelogram are respectively 51cm and 37cm. If one of its diagonal is 20cm then find the area of the parallelogram.

Find the area of the shaded region. Here ABC is an equilateral triangle of side 14cm and BDC is a semicircle.
$open parentheses text Take end text pi equals 22 over 7 close parentheses$

If △ BCD = △ OPQ, △ OPQ ≅ △ TUV , then what is the relation between △ BCD and △
TUV ?

In the complex number system, what is the value of $16 i to the power of 4 minus 8 i squared plus 4 ?$ ? (Note: $i equals square root of negative 1 end root right parenthesis$

Note:
It is advised to memorize the values of powers of i , that is ,
$i squared equals negative 1 comma i cubed equals negative i comma i to the power of 4 equals 1 comma i to the power of 5 equals i text , etc. end text$
We can observe that $i to the power of 4 n end exponent equals 1$ for all natural number . Also, even powers of is always a real number n, either 1 or - 1

In the complex number system, what is the value of $16 i to the power of 4 minus 8 i squared plus 4 ?$ ? (Note: $i equals square root of negative 1 end root right parenthesis$

Use coordinate notation to describe the translation.
16 units to the right, 7 units up

Find the values of x, y and z.

Use coordinate notation to describe the translation.
5 units to the left, 5 units down

Name the type of transformation shown.