assumptions and figures 3-b how do you determine what can and cannot be assumed from figures? how do...

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Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from pictures?

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Page 1: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

Assumptions and Figures 3-B

How do you determine what can and cannot be assumed from figures?

How do you determine what can and cannot be assumed from pictures?

Page 2: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can you assume?

Page 3: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can you assume?

Page 4: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can you assume?

Page 5: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can you assume?

Page 6: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can you assume?

Page 7: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can you assume?

Page 8: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

To Assume or Not to Assume… In the figure, do you think

you would be justified in assuming that:

B, C, and E are collinear?

?FCEACB BE ll GD?

D

A

BC

E

F

G

Page 9: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

Make a List…

Make a list of rules about what you think you can and cannot assume.

A

BC

E

F

G

Page 10: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

What can and cannot be assumedYou May Assume: You May Not Assume

(unless marked):

Things that look straight are straight.

Exact measurements and relative sizes of figures.Points shown on a line are

collinear. Unless planes are drawn, all points shown are coplanar.

Parallel or perpendicular lines.

Relative position of points are accurate.

Congruence

Page 11: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

To Assume or Not to Assume…

Point S is between R and T.

Points R,S, and T are collinear.

Point S is the midpoint of RT.

VY<TY

STRS

ZWVR

.anglerightaisZYV

R S TV

W

Y

Z

Page 12: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

Try ItDraw and mark one figure that shows all of the

following relationships.

On line m, B is the midpoint of AC.Line n ll m

ABEABD

Page 13: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

How do you determine what can and cannot be assumed from figures?

You May Assume: You May Not Assume(unless marked):

Things that look straight are straight.

Exact measurements and relative sizes of figures.Points shown on a line are

collinear. Unless planes are drawn, all points shown are coplanar.

Parallel or perpendicular lines.

Relative position of points are accurate.

Congruence

Page 14: Assumptions and Figures 3-B How do you determine what can and cannot be assumed from figures? How do you determine what can and cannot be assumed from

Assignment 3-3BPage 199, 1-4, 6-12, 17-21

Julian Beever is an English artist who's famous for his art on the pavements of England, France, Germany, USA, Australia and Belgium.