Chapter One

The 3 undefined terms in Geometry are

______, ______ and ______

The 3 undefined terms in Geometry are

point, line and plane

Always, Sometimes or Never?

1. 2 points are _____ collinear

2. 3 points are _____ coplanar

3. 3 points _____ lie on exactly one plane

4. 3 points _____ lie on exactly one line

1. 2 points are always collinear

2. 3 points are always coplanar

3. 3 points sometimes lie on exactly one plane

4. 3 points sometimes lie on exactly one line

If AB = XY then _____ = ______

~

AB = XY

LN = _____

L N

-10 15

LN = 15 – (-10) = 25

The midpoint of a segment divides it into

_____ _____ _____.

The midpoint of a segment divides it into

two congruent segments.

A

B

MAM = MB~

Opposite rays share the same __________.

Opposite rays share the same endpoint.

A

B

C

( BA and BC )

Match The Following:

___ 1. Line AB a. AB

___ 2. Ray AB b. AB

___ 3. Segment AB c. AB

___ 4. Length of d. AB

Segment AB

1- c 2- a 3- d 4- b

________ lines do not intersect and

are coplanar

Parallel linesdo not intersect and

are coplanar

_________ lines do not intersect and are NOT coplanar

Skew linesdo not intersect and are NOT coplanar

LN + NS = LS because _________________.

LN

S

Segment Addition Postulate

Name the following angles:

1. 3.

2. 4. .

1. Obtuse 2. Right 3. Acute 4. Straight

Perpendicular lines intersect to form ______ angles.

Perpendicular lines intersect to form right angles:

a

m

a m

m 1 + m 2 = m ABCbecause______________.

1 2

A

B C

Angle Addition Postulate

Midpoint Formula:

A (x1 , y1)

B (x2 , y2)

M ( _____ , _____ )

x1 + x2 y1 + y2

2 2,Midpoint =

average

Find the midpoint of segment AB where A (-6, -5) and B (-4,3)

-6 + -4 -5 + 32 2

=M = (-5, -1),

Find LN:

L ( x1 , y1 )

N ( x2 , y2 )

LN = (x1 – x2)2 + (y1 – y2)2

(Distance Formula)

FOR RECTANGLES:

A = ( ____ )( ____ )

P = 2( ____ ) + 2( ____ )

A = lwP = 2l + 2w

Width (w)

Length (l)

FOR SQUARES:

A = ( ____ )2

A = s2

side (s)

FOR CIRCLES:

A =_______ C = _________

CIRCLES

A = r2 C = 2r

Constructions are performed using only a ____________

and a _____________.

Constructions are performed using only a compass

and a straightedge.

CONSTRUCTIONS TO KNOW!

- Copy Segment- Bisect Segment- Copy Angle- Bisect Angle