Geometry Proving triangles congruent

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29 Terms

1

The five ways to prove triangles congruent

Side angle side, side side side, angle side angle, angle angle side and hypotenuse leg theorem

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2
<p>What are these triangles congruent by</p>

What are these triangles congruent by

Angle angle side

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3
<p>What are these triangles congruent by</p>

What are these triangles congruent by

Hypotenuse leg theorem

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4
<p>What are these triangles congruent by </p>

What are these triangles congruent by

Side angle side

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5
<p>What are these triangles congruent by </p>

What are these triangles congruent by

Side side side

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6
<p>What are these triangles congruent by</p>

What are these triangles congruent by

Angle side angle

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7
<p>what is the red line on all these called</p>

what is the red line on all these called

An altitude

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8
<p>What would the blue line on this triangle be called</p>

What would the blue line on this triangle be called

The median

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9
<p>What would point O be called on this graph</p>

What would point O be called on this graph

The orthocenter

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10
<p>What would point G in this image be</p>

What would point G in this image be

The centroid

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11

what is the formula for the centroid of a triangle

((x₁+x₂+x₃)/3,(y₁+y₂+y₃)/3)

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12

Definition of midpoint

The middle point of a line segment.

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13

definition of perpendicular

A straight line at an angle of 90°

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14

Definition of parallel

Extending in the same direction, equidistant at all points, and never converging or diverging

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15

Definition of angle bisector

A line that splits an angle into two equal angles

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16

What is a scalene triangle

It is a triangle with no equal sides

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17

What is an isosceles triangle

A triangle that has two equal sides

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18

What is an equilateral triangle

A triangle in which all sides are equal

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19

What shortcuts can you not take when proving triangles congruent

Angle side side and Angle angle angle

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20

What does CPCTC stand for

Corresponding Parts of Congruent Triangles are Congruent

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21
<p>What are these angles called</p>

What are these angles called

Corresponding angles

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22
<p>What theorem could you use to find what is equal to each other in this picture</p>

What theorem could you use to find what is equal to each other in this picture

Vertical Angles theorem

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23
<p>how do you know that DB is equal to BD</p>

how do you know that DB is equal to BD

Reflexive property

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24
<p>What are these angles</p>

What are these angles

Alternate interior angles

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25
<p>What are these angles</p>

What are these angles

Alternate exterior angles

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26
<p>What are these angles</p>

What are these angles

Same side interior angles

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27
<p>What are these angles</p>

What are these angles

Same side exterior angles

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28
<p>What theorem is this</p>

What theorem is this

Isosceles triangle theorem

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29
<p>What theorem is this</p>

What theorem is this

Perpendicular bisector theorem

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