Geometry Flash Cards

dilation, reduction -> SF is .3 < 1

(x, y) ->(.3x, .3y)

Congruent, Scale Factor is 1

(x, y)->(x, y)

dilation, enlargement -> SF is 1.5 > 1

(x,y) -> (3/2 x, 3/2 y)

dilation, enlargement -> SF is 2 >1

(x,y)->(2x, 2y)

Pythagorean Theorem √a² + b² = c

*How do you calculate the distance?

corresponding angles are congruent

<2 & <6 <4 & <8 <1 & <5 <3 & <7

triangle angle sum = 180 nSolv, then multiply the answer by 2 for angle a and then by 3 for angle b

<a= 2x degrees <b= 3x degrees <c= 90 degrees What are the measurements of each angle?

nSolv (x, 2x and 3x=180,x)

A triangle has angles of x°, 2x° and 3x° What are the angles?

Area of the Base-use AREA on formula chart depending on the base

B in Volume means

Area of rectangle or parallelogram (l*w) or (b*h) or (s*s)

B of a volume of a cube

Area of rectangle or parallelogram (l*w) or (b*h)

B of of a volume of a rectangular prism

Area of a Circle-πr^2

B of volume of a cylinder

Area of a triangle-1/2 b h

B of volume of a triangular prism

Area of Base = circle -> πr^2*h

B=?

Volume= B x height of green or purple ( 5 x 8)(7)

Capacity

1/3 πr^2 h

Capacity of a cone

LSA = 2(green) + 2 (purple) 2(7x8) + 2 ( 7 x 5)

Cover sides of the box

hypotenuse of a right triangle

Diagonal, corner to corner, distance

2/3 πr^2 h

Fill a cylinder with 2/3 of sand

4/3 π r^3

Fill a sphere with air

Find c, then multiply by 4 to find the perimeter.

Find the perimeter of the 3rd square

Calculator nSolve( V = πr²h,h) or answer choices to substitute using formula V=πr²(h)

How do you solve for h?

B= area of circle = πr²

How would you calculate the area of the base?

Perimeter of the rectangle->add the length and width and multiply by 2

How would you find P of the shaded shape?

Calculator T or F or nSolve

Is the following a right triangle? lengths of 18 units, 24 units, 30 units

Calculator 1² + 1²= √2 T or F

Is this a right triangle?

area of rectangle S=2πrh

Lateral Surface area

Draw direction to use pythagorean theorem

North, East, South, West are used for what type of problems

Perimeter of Base-add the sides

P in lateral surface area mean

LSA = 2(green) + 2 (purple) 2(7x8) + 2 ( 7 x 5)

Paint 4 walls

Which of the following create a right triangle? 5, 13, 12 5, 4, 3 6, 8, 12

Pythagorean Theorem T or F on calculator

(X, Y) -> ( -Y, X) (3, 4) -> ( -4, 3)

ROTATION 90 DEGREES?

l= 8 w= 5 h= 7 2(lw) + 2(wh) + 2(lh) 2( 8x5) + 2 ( 5x7) x 2(8x7) 2(blue) + 2(purple) + 2 ( green)

TSA ☺

A= 1/2 b * h Nsolv(30=.5 * h, h)

The area of a triangle is 30 square inches, the base is 6.5, what is the height?

C= πd Nsolv(30 = π*d, d)

The circumference of a circle is 30 inches, what is the diameter?

C= 2πr nsolv(30 = 2 * π * r, r)

The circumference of a circle is 30 inches, what is the radius?

V = 4/3 π r^3 nsolv(30 = 4/3 * π *r ^3, r)

The volume of a sphere is 30 cubic units, what is the radius?

B = 1 blue ( lxw) (5x8)

Tile the floor

II

Top left quadrant

I

Top right quadrant

V=Bh = l*w*h nsolv(30 = 2 * 5 * h, h)

Volume of a rectangular prism is 30 cubic inches. The length is 2 and the width is 5, what is the height?

Net of a cylinder B = area of a circle, πr^2

What formula do I use for the B?

Total Surface Area of Triangular Prism - sum of area of rectangles (lxw) and triangle bases (1/2 bh) or Ph + 2B (P & B look like triangles)

What formula do you use to Wrap or Cover this shape?

Lateral Surface Area Triangular Prism- sum of the Area of the rectangles or Ph (P looks like a triangle)

What formula do you use to paint the walls of this shape?

B is area of base=rectangle l x w ->l =3ft w =6ft = 3x6=18 square feet

What is B =?

B is area of base=triangle 1/2 bh b = 3 ft h = 4ft 1/2 x 3ft x 4 ft = 6 square feet

What is B=?

P = Perimeter of base = rectangle = l + w + l + w l = 3ft w = 6 ft Perimeter = 3 + 6 + 3 + 6= 18 feet

What is P=?

P is the perimeter of the base = triangle a + b + c a= 3 ft b=4 ft c = 5 ft P = 3ft + 4ft +5 ft= 12 ft

What is P=?

B area of a rectangle

What is shaded?

B is a triangle = bh/2

What is the Area of the Base?

P is a triangle = s + s + s

What is the Perimeter of the Base?

Area of a rectangle is bh= 3 x 4 = 12 square units

What is the area of the base of a rectangular prism with a length of 3, width of 4 and height of 5?

side length if 3 -> 3 x 3 = 9 square units

What is the area of the smaller square?

A=bh/2 _____ x _____/2

What is the area of the triangle? Do you have all the dimensions needed?

Pythaogorean Theorem √3 squared + 4 squared = 5 units

What is the distance from B to C?

Distance, right triangle = pythagorean theorem

What is the distance from school to home?

Perimeter x SF, Area x SF x SF, Volume xSFxSFxSF Area of blue square 16 x SF x SF 16 x 1/4 x 1/4 = 1 square unit

What is the new area of the blue square if it has been dilated by a scale factor of 1/4?

Perimeter = l + w + l + w = 3 + 4 + 3 + 4 = 14 units

What is the perimeter of the base of a rectangular prism with a length of 3, width of 4 and height of 5?

side length is 3-> 3 + 3 + 3 + 3 = 12 units

What is the perimeter of the smaller square?

5 units

What is the side length of hypotenuse?

Scale Factor x side length .2 x 5 = 1unit SF .2 < 1 , side length will be smaller.

What is the side length of the hypotenuse if each side has been dilated by a scale factor of .2?

rise/run rise is 10 run is 15 = 10/15 = 2/3

What is the slope?

.25(15)= .25(10)=

What scale factor would reduce each length by 1/4?

Dilation

Which transformation does not preserve congruence?

TSA = 2(green) + 2(purple) + 2 (blue) 2(7x8) + 2 ( 7 x 5) + 2( 5 x 8)

Wrap a gift, which do I use?

IV

bottom right quadrant

vertical angles

congruent angles across each other form v's horizontally and vertically

alternate interior angles are congruent

inside angles form a capital i angles are diagonal from each other <3 & <6 <4 & <5

alternate exterior angles are congruent

outside angles form a letter z <2 & <7 <1 & <8

3 and 4

π is between which two numbers on a numberline