Geometry Flashcards by Kylyn Gonzales | Brainscape

Q

CAPS

A

Congruent Angles, Proportional Sides

pag may CAPS, may RAP (ratio and proportion)

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Q

45-45-90

special right triangles

A

S : S : S√2

ratio of side lengths

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Q

30-60-90

special right triangles

A

S : S√3 : 2S

ratio of side lengths

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Q

HICE

circles, arcs, angles

A

Half Inscribed, Central Equal

central ∠ = intercepted arc
inscribed ∠ (vertex ON circle) = half of arc

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Q

LABAS x BUO = LABAS x BUO (YEAH)

intersecting secants / tangents

A

part of line that is outside the circle

2 secants : a(a+b) = c(c+d)
2 tangents : a = b

secant & tangent : b(b+a) = c^2

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Q

Exterior Angles

vertex is outside of the circle

A

(major arc - minor arc) ÷ 2

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Q

Interior Angles

vertex is inside of the circle

can be formed by intersecting chords inside the circle

A

(major arc + minor arc) ÷ 2

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Q

Volume of a Cylinder

A

πr^2h

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Q

Volume of a Cone

A

1/3 π^2h

a cylinder is made up of 3 cones

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Q

Volume of a Pyramid

A

1/3Bh

B = area of base shape

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Q

Volume of a Sphere

A

4/3 πr^3

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Q

Surface Area of a Sphere

A

4πr^2

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Q

Isip at Fuso

Irregular Areas

A

I: Imagination
F:Formulas

use imagination to visualize other shapes

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Q

Fixed Perimeter

A

Largest area when it is a circle

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Q

Geometric Mean

If height of triangle comes from a right angle

height = right angle -> hypotenuse

A

h^2 = ab

square of height is equal to product of bases

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Q

is it a congruent triangle postulate / theorem?

SSS

A

Yes

SIDE-SIDE-SIDE

Q

is it a congruent triangle postulate / theorem?

SAS

A

Yes

SIDE-ANGLE-SIDE

Q

is it a congruent triangle postulate / theorem?

ASA

A

Yes

ANGLE-SIDE-ANGLE

Q

is it a congruent triangle postulate / theorem?

AAA

A

No

can be true for SIMILAR triangles

Q

is it a congruent triangle postulate / theorem?

AAS

A

Yes

ANGLE-ANGLE-SIDE

Q

is it a congruent triangle postulate / theorem?

SSA

A

No

does not prove similarity or congruence