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Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit...

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabular y for Unit 3
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Page 1: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

Beat the Computer!

Geometry Vocabulary for Unit 3

Page 2: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

Directions:•A slide will appear with a term

•Say the definition aloud before the computer can answer (5 sec.)

•You will hear a sound when the slide changes

Page 3: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

transversalt

l

m1 2

7

45

8

36

Page 4: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

transversal:

a line that intersects two coplanar lines at two distinct points

t

l

m1 2

7

45

8

36

Line t is the transversal for lines l and m.

Page 5: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

alternate interior angles

t

l

m1 2

7

45

8

36

Page 6: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

alternate interior angles:

nonadjacent interior angles that lie on opposite sides of

the transversal

t

l

m1 2

7

45

8

36

Alternate interior ’s:

3 & 5

4 & 6

Page 7: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

same-side interior angles

t

l

m1 2

7

45

8

36

Page 8: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

same-side interior angles:

interior angles that lie on the same side of the

transversalt

l

m1 2

7

45

8

36

Same-side interior ’s:

3 & 6

4 & 5

Page 9: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

corresponding angles

t

l

m1 2

7

45

8

36

Page 10: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

corresponding angles:

angles that lie on the same side of the transversal and

are in corresponding positions

t

l

m1 2

7

45

8

36

Corresponding ’s:

1 & 5

2 & 6

3 & 7

4 & 8

Page 11: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

two-column proof

Page 12: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

two-column proof:

a convincing argument that uses deductive

reasoning in which the statements and

reasons are aligned in columns

Page 13: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

flow proof

Page 14: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

flow proof:

a convincing argument that uses deductive reasoning in which arrows show the

logical connections between the statements

Page 15: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equiangular triangle

Page 16: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equiangular triangle:

a triangle that has three congruent angles

Page 17: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

acute triangle

Page 18: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

acute triangle:

a triangle that has three acute angles

Page 19: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

right triangle

Page 20: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

right triangle:

a triangle that has one right angle

Page 21: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

obtuse triangle

Page 22: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

obtuse triangle:

a triangle that has one obtuse angle

Page 23: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equilateral triangle

Page 24: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equilateral triangle:

a triangle that has three congruent

sides

Page 25: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

isosceles triangle

Page 26: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

isosceles triangle:

a triangle that has at least two sides

congruent

Page 27: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

scalene triangle

Page 28: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

scalene triangle:

a triangle that has no sides congruent

Page 29: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

exterior angle of a polygon

Page 30: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

exterior angle of a polygon:

an angle formed by a side and an extension

of an adjacent sideExterior angle

Page 31: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

remote interior angles of a

triangle

Page 32: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

remote interior angles of a triangle:

the two nonadjacent interior angles

corresponding to each exterior angleExterior

angle

Remote interior angles

Page 33: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

polygon

Page 34: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

polygon:

a closed plane figure with at least three sides

that are segments

Yes! No!No!

Page 35: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

convex polygon

Page 36: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

convex polygon:

a polygon that has no diagonal with points outside the polygon

Page 37: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

concave polygon

Page 38: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

concave polygon:

a polygon that has at least one diagonal with

points outside the polygon

Page 39: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

quadrilateral

Page 40: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

quadrilateral:

a polygon with four sides

Page 41: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

pentagon

Page 42: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

pentagon:

a polygon with five sides

Page 43: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

hexagon

Page 44: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

hexagon:

a polygon with six sides

Page 45: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

heptagon

Page 46: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

heptagon:

a polygon with seven sides

Page 47: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

octagon

Page 48: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

octagon:

a polygon with eight sides

Page 49: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

nonagon

Page 50: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

nonagon:

a polygon with nine sides

Page 51: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

decagon

Page 52: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

decagon:

a polygon with ten sides

Page 53: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

dodecagon

Page 54: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

dodecagon:

a polygon with twelve sides

Page 55: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equilateral polygon

Page 56: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equilateral polygon:

a polygon with all sides congruent

Page 57: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equiangular polygon

Page 58: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

equiangular polygon:

a polygon with all angles congruent

Page 59: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

regular polygon

Page 60: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

regular polygon:

a polygon that is both equilateral and

equiangular

Page 61: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

slope-intercept form

Page 62: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

slope-intercept form:

a linear equation in the form of

y = mx + b

Page 63: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

standard form

Page 64: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

standard form:

a linear equation in the form of

Ax + By = C

Page 65: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

point-slope form

Page 66: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 3.

Chris Giovanello, LBUSD Math Curriculum Office, 2004

point-slope form:

a linear equation in the form of

y - y1 = m(x - x1)


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