Chapter One The 3 undefined terms in Geometry

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. 3. 4. 2 points are _____ collinear 3 points are _____ coplanar 3 points _____ lie on exactly one plane 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

AB = XY

LN = _____ L -10 N 15

LN = 15 – (-10) = 25

The midpoint of a segment divides it into _____.

The midpoint of a segment divides it into two congruent segments. B M A AM ~ = MB

Opposite rays share the same _____.

Opposite rays share the same endpoint. C B A ( BA and BC )

Match The Following: ___ 1. Line AB ___ 2. Ray AB ___ 3. Segment AB ___ 4. Length of Segment AB a. b. c. d. AB AB

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

____ lines do not intersect and are coplanar

Parallel lines do not intersect and are coplanar

_____ lines do not intersect and are NOT coplanar

Skew lines do not intersect and are NOT coplanar

S N L LN + NS = LS because _________.

Segment Addition Postulate

Name the following angles: 1. 3. 2. 4. .

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

Perpendicular lines intersect to form ______ angles.

Perpendicular lines intersect to form right angles: a m

A 1 B 2 C m 1 + m 2 = m ABC because_______.

Angle Addition Postulate

Midpoint Formula: B (x 2 , y 2) M ( _____ , _____ ) A (x 1 , y 1)

Midpoint = x 1 + x 2 , y 1 + y 2 2 2 average

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

Find LN: N ( x 2 , y 2 ) L ( x 1 , y 1 )

LN = (x 1 – 2 x 2) + (y 1 – y 2 (Distance Formula) 2 )

A = lw P = 2 l + 2 w Width (w) Length (l)

FOR SQUARES: A = ( ____ )2

A = s 2 side (s)

FOR CIRCLES: A =_______ C = _____

CIRCLES A= 2 r C = 2 r

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