Geometry True False

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a right prism has lateral edges that are not perpendicular to the bases

f

if T is an acute angle in a right triangle then tanT = a/o

f

if a cone and cylinder have congruent bases, then the volume of the cylinder is three times the volume of the cone

f

if a line cuts two sides of a triangle proportionally, then it is congruent to the third side

f

if a triangle has sides of length 4, 5, and 6, then the triangle is a right triangle

f

if a, b, and c are sides of a triangle and c2 < a2 + b2, then the triangle is obtuse

f

if the corresponding sides of two quadrilaterals are proportional, then the two quadrilaterals are similar

f

if the corresponding surface areas of two similar pyramids are in the ratio 25 to 81, then their volumes are in the ratio 25^3 t0 81^3

f

in a right triangle, the cosine of angle A is the ratio of the length of the side opposite of A to the length of the side adjacent to angle A

f

in an isosceles right triangle, if the legs have the length x, then the hypotenuse has the length 2x

f

sas triangle similarity refers to two triangles which contain a corresponding congruent angle formed by two corresponding congruent sides

f

the circumference of a circle is less than three times the length of the diameter

f

the measure of an inscribed angle in a circle is equal to the measure of the arc it intercepts

f

the ratio of the diameter to the circumference of a circle is pi

f

the volume of a pyramid is 3 times the volume of a prism containing the same height and base as the pyramid

f

the volume of a sphere is 3/4 (pi) r2

f

three shortcuts to proving two triangles are congruent are AAA, SAS, and SSS

f

to find the surface area of a hemisphere, simply divide the surface area of a sphere with the same radius by 2

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to use trigonometry, to find either a side or an angle of a triangle, the triangle doesn't have to be a right triangle

f

all circles are similar

t

if the ratio of perimeters of two similar shapes is 4/5, then the ratio of their volumes is 64/125

t

in a 30 60 90 triangle, if the shorter leg has length x, then the longer leg has length x(radical)3 and the hypotenuse has length 2x

t

in two different circles, arcs with the same measure have congruent central angles

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the area of a regular polygon is A=1/2aP

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the perpendicular bisector of a chord of a circle passes through the center of the circle

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to find the area of a sector, take the area of the circle and multiply it by the fraction of the circle the sector contains

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