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Corresonding angles are ________
[image]Give Examples according to the diagram. |
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They are congruent.
m<1=m<5, m<2=m<6, m<3=m<7, m<4=m<8 |
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Alternate Interior Angles are __________
[image]
Name some examples on the picture |
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They are equal.
Examples: m<3=m<6, m<4=m<5 |
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Alternate Exterior Angles are _________
[image]
Give Examples according to the diagram |
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They are equal
Examples are: m<1=m<8, m<2=m<7 |
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Same side interior angles are __________
[image]
Name some examples |
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They are supplementary
Examples are: m<3+m<5=180, m<4+m<6=180 |
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What do Parallelograms have?
[image]
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-opp. sides are parallel
-opp. sides are equal
-opp. angles are equal
-consecuative angles are supplemetary
-Diagonals bisect each other
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What do Rectangles have?
[image] |
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-opp. sides are parallel
-opp. sides are equal
-opp. angles are equal
-consecuative angles are supplemetary
-Diagonals bisect each other
-4 right angles
-diagonals are equal |
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What do rhombus' have?
[image] |
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-opp. sides are parallel
-opp. sides are equal
-opp. angles are equal
-consecuative angles are supplemetary
-Diagonals bisect each other
-4 equal sides
-diagonals are perpindicular
-diagonals bisect angles |
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What does a square have?
[image] |
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-opp. sides are parallel
-opp. sides are equal
-opp. angles are equal
-consecuative angles are supplemetary
-Diagonals bisect each other
-4 equal sides
-diagonals are perpindicular
-diagonals bisect angles |
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What does a trapezoid have?
[image] |
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-Only one set of paralled sides.
-Median of trapezoid is paralled to both bases and equal to 1/2 sum of the bases |
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What does a Isosceles Trapezoid have?
[image] |
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-Only one set of paralled sides.
-Median of trapezoid is paralled to both bases and equal to 1/2 sum of the bases
-Legs are equal
-Base angles are equal
-diagonals are equal
-opposite angles are supplementary. |
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In a circle, a radius perpindicular to a chord __________ the chord |
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Intersecting Chords Rule: |
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(segment part)x(segment part)=(segment part)x(segment part) |
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(whole secant)x(external part)=(whole secant)x(external part) |
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(whole secant)x(external part)=(tangent)squared |
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Angle formed by 2 chords= |
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Angle formed by two tangents, or 2 secants, or a tangent/secant = |
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half the difference of arcs |
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What is the formula for slope-intercept? |
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What is the formula for point-slope? |
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What is the distance formula? |
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What is the midpoint formula? |
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What is the equation of circle center at origin? |
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What is the equation of circle not at the origin? |
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Formula of the volume of prism? |
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What is the fomula of the volume of a pyramid? |
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Formula of Volume of cylinder?
The Surface area? |
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What is the formula for the volume of the cone?
The surface area? |
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What is the formula for Volume of a sphere?
The surface area? |
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How many faces does a Tetrahedron have? |
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How many faces does a cube have? |
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How many faces does a Octahedron have? |
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How many faces does a Dodecahedron have? |
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How many faces does a Icosahedron have? |
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By sides, expain the congruent sides of Scalene, Isosceles, and equilateral? |
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Scalene-no congruent sides
Isosceles- 2 congruent sides
Equilateral sides-3 congruent sides |
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By angles, describe the difference between Acute, Right and obtuse |
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Acute-all acute angles
Right-one right angle
Obtuse-one obtuse angle |
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Whats the differnce between Equiangular and Equilateral? |
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Equiangular-3 congruent angles (60°)
Equilateral is the same |
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The exterior angle of a triangle equals the sum of the....? |
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sum of the 2 non-adjacent interior angles |
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Mid-segment of a triangle is parallel to the ....? |
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third side and half the length of the third side |
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Congruent Triangles can be: |
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Definition
SSS
SAS
ASA
AAS
HL (right triangles only)
no donkey theorm (SSA or ASS) |
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How to prove a similar triangle: |
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AA
SSS for similarity
SAS for similarity
Corresponding sides of similar triangles are in proportion |
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Each interioir angle (regular) |
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Each exterior angle (regular) = |
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inverse of the converse (contrapostive has the same truth value as the original statement.) |
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Sum of the lenths of any two sides of a triangle is |
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greater than the length of the third side |
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Longest side of a triangle is opposite the largest |
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Exterior angle of a triangle is greater than either of the |
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two non-adjacent interior angles |
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part hyp altitude ________ = _________ altitude other part of hyp |
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hyp leg
____=_____
leg projection |
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a²+b²=c²
If this formula is true, then the triangle is a right triangle |
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