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- Geometry Facts quiz

Julie m.

What is the sum of the interior angles of a triangle

180 degrees

The size of the triangle does not matter!

What two facts do you know about the interior angles of an isosceles triangle

the sum total of the angles = 180 degrees

the angles opposite the equal sides are also equal

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What is the value of the three angles in an equalateral triangle

They are all 60 degrees (equal and total 180 degrees)

The total of the two opposite interior angles

If two triangles are similar, what do you know about the ratio of their sides

They will be the same

If two triangles are similar, what do you know about the ratio of the AREAS?

= square of the ratio of their sides

divide side triangle 1 by side triangle 2

square the result

multiply that result by the area of triangle 1

What is the area of a triangle

1/2 base X height

Height might be outside the triangle!

How do you calculate the perimeter of a triangle

Add all the sides

In a right triangle, what is the ratio of the sides?

a² + b² = c²

Name five common ratios for right triangles

3 4 5

5 12 13

s s s√2 (Great for squares, when asked the diagonal of a square)!!

s/√2, s/√2, s also great for squares

s 2s s√3 for 30 60 90 triangles - favorite test question. Hyp is 2s

How do you calculate the area of a square or parallelogram

base time height

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What is the area of a square if you only know the diagonal

1/2 d²

why? area = base²

but base² + base² = diagonal ² ; 2base² =diagonal ²;

therefore area = base²= 1/2diagonal ²

What is the area of a trapezoid

1/2(base 1 + base 2) X height

What is the area of a circle

¶r²

what is the circumference of a circle

2¶r

what is the surface area of a rectangular solid

6 * b * h (for a cube, 6B², since base = height)

what is the surface area of a cylinder

The side = circumference * height (2¶r * h) plus

the top and bottom = 2(¶r²)

Don't forget the top and bottom!

what is the equation of a circle?

(x-h)² + (y-k)² = r² where h and k are the center points and r is the radius

How can you calculate the total interior angles in a polygram?

(Number of sides - 2) * 180

Triange - 180

square = (4-2) * 180 = 360

pentagor - (5-2) * 180 = 540

What is the volume of a cube

height ³

what is the volume of a rectangular solid

base X height X width

what is the volume of a cylinder

height X circumference (or height X ¶r²)

what is the area of a cube

6 height ²

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