Download Ch 1 Review - Stevenson High School

Geometry
Chapter 1 Review
PS.a.
1.
Name
Date
I can identify, name, and sketch geometric figures. (1.2, 1.6)
Use the figure on the right to answer the following questions.
a. Name three collinear points.
b. Name four non-collinear points.
c. Name the intersection of plane LMN and plane QLS.
d. Is point R coplanar with points L, P and Q?
e. Are points S, L, and X coplanar?
2.
Use the diagram to identify the following:
a. Name a pair of adjacent angles.
b. Name a pair of vertical angles.
c. Name a linear pair.
d. Name a pair of congruent angles.
G.CO.1.A.a
3.
I can define angles and line segments. (1.2)
Provide a definition for each:
a.
Line Segment:
b.
Angle:
G.CO.1.A.b
I can explain the characteristics of the undefined notion of point, line
and plane. (1.2)
4.
What are 3 undefined terms in geometry?
Hour
PS.b.
5.
I can find the midpoint and length of segments in a coordinate plane
and use the midpoint or length to find segment endpoints. (1.3, 1.5)
Find the length of each segment.
a. MP
b. SM
c. NR
d. MR
6.
RT has endpoints R(-3,8) and T(3,6). Find the coordinates of the midpoint S.
7.
D is the midpoint of EF . Solve for r. Then determine ED and DF.
ED = 5r – 12
DF = 6r – 10
7.
Is MP  NP ? SHOW WORK using the Distance Formula. M ( -4, 4) N (1, 2) P (-3, 1)
PS.c.
8.
PS.d.
9.
I can solve for segment lengths by applying the segment addition formula.
(1.3)
Q is between P and R. PQ = 2w – 3, QR = 4 + w, and PR = 34.
a.
Find the value of w.
b.
Then find the lengths of PQ and QR .
I can determine if two segments are congruent using segment postulates.
(1.3)
Use the diagram to determine whether BC and DE are congruent segments.
AB = 4
C is the midpoint of BD
D
C
B
A
AE = 28
E
PS.e.
10.
PS.f.
11.
PS.g.
I can measure an angle using a protractor. (1.4)
Measure each angle using a protractor.
a.
b.
c.
I can solve for angle measures using special angle relationships.
(1.4, 1.5, 1.6)
Find the measure of each angle.
a. ∠DBE
b. ∠FBC
c. ∠ABF
d. ∠DBA
I can determine if two angles are congruent. (1.4)
12.
Identify congruent angles in the figure above (#11), if they occur.
13.
If m∠3=68  , find m∠4 and m∠5.
14.
Suppose m∠PQR = 130  . If QT bisects ∠PQR, what is the measure of ∠PQT?
15.
∠A and ∠B are complementary.
Solve for x and then find the measures
of each angle.
M∠A= 7x + 1
M∠B = 5x – 7
16. ∠1 and ∠2 are supplementary angles.
∠1 and ∠3 are vertical angles.
m∠2 = 67  .
Find the m∠3 =_______
17.
m∠ABC = 80°. Solve for x and then
find m∠ABD and m∠CBD.
19.
Solve for x.
m∠ABC = 6x
m∠ABD = 3x - 1
m∠DBC = 2x + 5
18.
A
D
B
20.
C
Find m∠1 and m∠2.
⃗⃗⃗⃗⃗⃗ bisects ∠ABC
𝐵𝐷
m∠1 = 5x – 11
m∠2 = 3x + 5
A
D
1
B
21.
Find the value of the variables.
2
C
Solve for x.
(8x – 11)° (4x + 9)°
PS.h.
I can classify angles as acute, right, obtuse or straight. (1.4)
22.
Name an obtuse angle.
23.
Name an acute angle.
24.
Name a right angle.
25.
Name a pair of opposite rays.
G.CO.12.A.a
I can bisect an angle and a segment. (1.5)
26. Bisect the segment.
27.
Bisect the angle.