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Worksheets

Geometry formulas Algebra

Total questions: 23

Worksheet time: 12mins

Name
Class
Date
1.

Standard Circle Formula

a)

Ax^2+By^2+Cx+Dy+E=0

b)

A+B+C+D+E=0

c)

(x-h)^2+(y-k)^2=r^2

d)

(x-h)^2+(y-k)^2=r

2.

General Circle Formula

a)

Ax^2+By^2+Cx+Dy+E=0

b)

(x-h)^2+(y-k)^2=r^2

c)

(x-Z)^2+(y-k)^2=r^2

d)

Ax^2+By^2+Cx+Dy+E=R^2

3.

Translations

Move UP

(X,Y)→?

a)

(X+#,Y)

b)

(X,Y+#)

c)

(X,Y-- #)

d)

(X-- #,Y)

4.

Rotations

90 CW or 270 CCW

(X,Y)→?

a)

(y, -x)

b)

(-x, y)

c)

(x, -y)

d)

(-y, x)

5.

Rotations

90 CCW or 270 CW

(x,y)→

a)

(-y, x)

b)

(-x, y)

c)

(y, -x)

d)

(x, -y)

6.

Rotations

180 CW or CCW

a)

Swap x and y

b)

Swap signs

c)

Make x negative

d)

Flip what ever x and y's current signs are now

7.

Reflections

x-axis

a)

(x, y) to (x, -y)

b)

(x, y) to (-x, y)

c)

(x, y) to (-x, -y)

d)

(-x, y) to (x, -y)

8.

Reflections

across y-axis

a)

(x, y) to (-x, y)

b)

(x, y) to (x, -y)

c)

(x, y) to (x, y)

d)

(x, y) to (-x, -y)

9.

Reflections

Across y=x

a)

(x, y) to (y, x)

b)

(x, y) to (y, -x)

c)

(x, y) to (-x, -y)

d)

(x, y) to (-y, x)

10.

Reflections

Across y= -x

a)

(x, y) to (-y, -x)

b)

(x, y) to (-y, x)

c)

(x, y) to (-x, -y)

d)

(x, y) to (y, -x)

11.

Dilations

Enlargement

a)

Dilate by a scale factor where k>1

(x, y) to (kx, ky)

b)

Dilate by a scale factor where k<1

(x, y) to (kx, ky)

c)

Reflect by a scale factor where k>1

(x, y) to (kx, ky)

d)

Dilate by a scale factor where k>1

(x, y) to (kx, y)

12.

Dilations

Reductions

a)

Dilate by a scale factor where 0<k<1

(x,y) to (kx,ky)

b)

Dilate by a scale factor where 0<k*1

(x,y) to (kx,ky)

c)

Dilate by a scale factor where k<1

(x,y) to (kx,ky)

d)

Dilate by a scale factor where 0<k<1

(x,y) to (x,ky)

13.

When doing dilations you...

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

14.

What letter is the slope intercept in the formula?

Y=mx+b

a)

Y

b)

x

c)

m

d)

b

15.

Fill in the blank

a^2 + ? = c^2

(a)  

16.

What is Pythagorean Theorem?

a)

a^2+b^2=c^2

b)

b^2+b^2=c^2

c)

a^2+b^3=c^2

d)

a^2-b^2=c^2

17.

Correct Distance Formula

-- = Subtract

a)

d=√(x2--x1)^2+(y2--y1)^2

b)

d=√(x2+x1)^2+(y2--y1)^2

c)

d=√(x2--x1)^2+(y2+y1)^2

d)

d=√(x2--x1)^2=(y2--y1)^2

18.

Correct Midpoint Formula

a)

m=(x1+x2 ÷ 2 , y1+y2÷2)

b)

m=(x1+x2 + 2 , y1+y2+2

c)

m= x1-x2, y1-y2

d)

m=x+y

e)

m=1+2 divided by 2 x2 (The way I remember it)

19.

Partitioning

(Has the a:b)

a)

(x,y)=(bx1+ax2÷a+b , by1+ay2÷a+b)

b)

(xy,x)=(bx1+ax2÷a+b , by1+ay2÷a+b)

c)

(x,y)=(bx1+bx2÷a+b , by1+by2÷a+b)

d)

(x,y)=(bx1+ax2÷2 , by1+ay2÷2)

20.

What formula do you use when finding the perimeter of a diagonal line?

a)

Diagonal Formula

b)

Pythagorean Theorem

c)

Distance Formula

d)

Partitioning Line Theorem

21.

Formula for the area of a Triangle

a)

1/2(Base) (Height)

b)

B times H

c)

1/2 time B

22.

Formula for the Circumference of a circle

a)

C=2πR

b)

C= πR^2

23.

Area of a circle

a)

A=2πR

b)

A=2πR^2

c)

A=πR^2