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PowerPoint Presentation - · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

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Page 1: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 2: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 3: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 4: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 5: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 6: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

triangle

a three sided closed polygon

A

G B

symbolic notation:∆BAG

Page 7: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

acute angle

an angle whose measure is less than 90ᴼ

40ᴼ AWWW… Such a CUTE little angle!

symbolic notation:m∠A = 40ᴼ

A

Page 8: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

right angle

an angle whose measure is exactly 90ᴼ

symbolic notation:m∠B = 90ᴼ

B

Page 9: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

obtuse angle

an angle whose measure is greater than 90ᴼ

symbolic notation:m∠C = 120ᴼ

C120ᴼ

(obtuse angle)

Page 10: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

straight angle

an angle whose measure is exactly 180ᴼ

symbolic notation:m∠ABC = 180ᴼ

BA C

HINT: THERE IS ONLY 1 STRAIGHT ANGLE…(thus a straight angle is different from supplementary angles!!!)

Page 11: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

congruent

Two figures, segments, triangles, etc. that have the same size, same shape, same measure

∆PQR ≅ ∆LJK

symbolic notation:≅

Page 12: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

C’B’

A’

A

B

C

Example of a Rule for a

Transformation:(x,y)→‘(-y,x)

imagepre-image

Page 13: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

collineara set of points that lie on the same line

example:

Points P, Q, & R are collinear. Points X, Y, & Z are noncollinear.

symbolic notation:P, Q, and R,are collinear

Page 14: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

symbolic notation:⊥

Page 15: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

symbolic notation:∥

Page 16: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 17: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

no symbolic notation

Page 18: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles
Page 19: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

dilation

a transformation that results in similar figures

AB

Figure A has been dilated by a scale factor of 2 to form Figure B.

Page 20: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

Intersecting Lines

• Two lines that cross at a single point.

• Symbolic Notation: none

Page 21: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

Polygon

• A closed figure in a plane with at least three straight sides

• Symbolic Notation: none

Page 22: PowerPoint Presentation -   · PDF file•Regular polygons have all congruent sides and interior angles. •Irregular polygons do not have all congruent sides and interior angles

Regular V. Irregular Polygon

• Regular polygons have all congruent sides and interior angles.

• Irregular polygons do not have all congruent sides and interior angles.

• Symbolic Notation: None