Geometry Proving triangles congruent

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29 Terms

1
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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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<p>What are these triangles congruent by</p>

What are these triangles congruent by

Angle angle side

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

What are these triangles congruent by

Hypotenuse leg theorem

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

What are these triangles congruent by

Side angle side

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

What are these triangles congruent by

Side side side

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

What are these triangles congruent by

Angle side angle

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

what is the red line on all these called

An altitude

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

What would the blue line on this triangle be called

The median

9
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<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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<p>What would point G in this image be</p>

What would point G in this image be

The centroid

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what is the formula for the centroid of a triangle

((x₁+x₂+x₃)/3,(y₁+y₂+y₃)/3)

12
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Definition of midpoint

The middle point of a line segment.

13
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definition of perpendicular

A straight line at an angle of 90°

14
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Definition of parallel

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

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Definition of angle bisector

A line that splits an angle into two equal angles

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What is a scalene triangle

It is a triangle with no equal sides

17
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What is an isosceles triangle

A triangle that has two equal sides

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What is an equilateral triangle

A triangle in which all sides are equal

19
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What shortcuts can you not take when proving triangles congruent

Angle side side and Angle angle angle

20
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What does CPCTC stand for

Corresponding Parts of Congruent Triangles are Congruent

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

What are these angles called

Corresponding angles

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<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

23
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<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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<p>What are these angles</p>

What are these angles

Alternate interior angles

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<p>What are these angles</p>

What are these angles

Alternate exterior angles

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<p>What are these angles</p>

What are these angles

Same side interior angles

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<p>What are these angles</p>

What are these angles

Same side exterior angles

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<p>What theorem is this</p>

What theorem is this

Isosceles triangle theorem

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<p>What theorem is this</p>

What theorem is this

Perpendicular bisector theorem