Geometry Chapter 1 Review

1
Geometry Chapter 1 Review

• The Coordinate Plane
• Geometric Terms
• Area Perimeter of Rectangles
• Finding length and midpoints of segments
• Angles and their relationships

2
Identify the axiss and the quadrants
y
I
III
.
Graph the point (-2, 5)
x
IV
III
3
Geometric Terms
Point - A location in space with no
dimensions Line - a collection of points,
extending indefinitely in opposite directions
Plane - A collection of points that lie in a
flat surface, extending indefintiely in all
directions. Must consist of at east three
non-collinear points Collinear or coplanar -
points that lie on the same line or in the same
plane.
4
Area Perimeter of Rectangles
A l x w P 2(l w)
3 in
12 in
A 3 x 12 36 in2 P 2(3 12) 30 in
5
Find the length of segment AB
B
10
A
9
6
Find the length of the segment between points (4,
-9) (-2, 5)
7
Find the coordinates of the midpoint M of the
segment SP if S(-4, 5) and P is (-8, 8).
Xm (4 8)/2 ym (5 8)/2 Xm 6 ym
6.5
(-6,6.5)
8
Angle Relationships
Adjacent angles - 2 angles that a share a common
side and vertex Vertical angles - 2 non-adjacent
angles that are formed by intersecting lines.
Vertical angles are equal or congruent Linear
pair - 2 adjacent angles that form a straight
line Complimentary angles - 2 angles who sum is
90 Supplementary angles - 2 angles who sum is
180
9
Name a pair of adjacent complimentary angles
Name a pair of congruent angles
3
2
1
4
5
6
Angles 3 4
Angles 4 6
10
An angle is thirty-six more than twice its
compliment. Find the angle.

• X angle 90 - x compliment
• X 36 2(90 - x)
• X 36 180 2x
• 3X 216
• X 72

11
Name a pair of congruent angles
3
2
1
4
5
6
Angles 1 5
12
If R is the midpoint of ST, SR3x 8,and RT 5x
- 6, find the measure of SR.

• SR RT
• 3x 8 5x 6
• 2x 14
• X 7
• SR 3(7) 8 29

13
Name a linear pair of angles
3
2
1
4
5
6
Angles 5 6
14
Find the coordinates of point S if M(-4, 5) is
the midpoint of SP and the coordinates of P are
(-8, 8).
(0,2)
15
Determine the angle measurements
68
3x 20
2x 10
22
3x 20 2x 10 90 5x 10 90 5x 80 x
16
16
In the figure below, segment CX bisect segment AB
at X, and segment CD bisects XB at Y.
A
YB 23 2x, XY 2x 3. Find AB 23 2x 2x
3 20 4x x 5 YB 13 XB 26 AB 52
17
Find the measure of angle 6
3
2
2x 10
4
3x 50
6
2x 10 3x 50 60 x angle 6 180 - 60 120
18
Complete the Table
3
36
lw A 15w 45 w 3 2l 2w P 2(15) 2(3)
36
19
Find the midpoint of segment AB
B
A
A(-4,-5) B(5,5) Midpoint (1/2,0)
20
Name a pair of vertical angles
3
2
1
4
5
6
Angles 1 5
21
Find x if Q is the midpoint of PR, PQ 19, and
PR 8x 14.
2PQ 8x 14 38 8x 14 24 8x X 3
22
Name a pair of supplementary angles
3
2
1
4
5
6
Angles 5 6
23
Determine the angle measurements
122
3x 20
2x 10
58
3x 20 2x 10 180 5x 10 180 5x 170 x
34
24
An angle is forty less than three times its
supplement. Find the angle.

• X angle 180 - x Supplement
• x 3(180 - x) 40
• x 540 3x 40
• 4x 500
• x 125

25
In the figure below, segment CX bisect segment AB
at X, and segment CD bisects XB at Y.
A
If AX 2x 11 and XB 4x 5. Find AB 2x 11
4x 5 16 2x x 8 AX 27 AB 54
26
Complete the Table
30
10
P 2l 2w 26 2(3) 2w 20 2w w 10 A
lw A 3(10) 30
27
Find the midpoint and the length of between (3,6)
(-4,-8)
Midpoint is (-.5, -1) Length is square root of
245, or 15.65