Geo Unit 1 Test: Geometry Basics cloned 11/28/2021 - Teerani Sutthiphansakul | Library

Use the diagram below for questions 1-3:

1

Name two points collinear to point D.

ANSWER: _______ ,_______ 

1

Select which option below is another name for line p

1

Name the intersection of line r and plane K.

3

If RS = 23 – 2x, ST = 9x – 5, and RT = 39, find RS.

ANSWER: Length of RS =_______

3

Given the graph above, find the length of segment MN.  Round to the nearest hundredth.

NOTE:  M(-1,2) and  N(4,0)

ANSWER: Length of segment MN = _______

3

Find the midpoint of \overline{AB}  if A(-3,8) and B(-7,-6). 

ANSWER: The midpoint is (_______ ,_______)

3

If line n bisects \overline{CE} find CD.

ANSWER: The length of line CD is _______

3

Classify \angle 1 and \angle 2 using all relationships that apply. THERE ARE 3 CORRECT SELECTIONS

3

Find the value of x.

ANSWER:x = _______ 

10

If  \overrightarrow{CD} \perp \overrightarrow{EF}, m \angle ECH = (x+5)o, and m \angle HCD = (x+5)  find each missing value:

a) x = _______ 

b) m \angle ECH = _______ o

c) m \angle HCD = _______ o

d) m \angle GCF = _______ o

e) m \angle ECG  = _______ o

Select 2 out of the 6 next questions. The best 2 will be selected, and others are optional. That is, they will be included if they improve your grade.

4

\angle E and \angle F are supplementary. If m \angle E =
(9x – 38)°and m \angleF = (2x + 42)°, find m\angle F  in degrees.

ANSWER:\angle F = _______ o

4

\angle 1 and \angle 2 are verticle angles. If m\angle 1=(6x+11)o and  m\angle 2 = (10x-9)o,  find m\angle 1.

ANSWER:m\angle 1= _______ o

4

If  \overrightarrow{BD}  bisects \angle ABC , m \angle DBC = 79o, and m \angle ABC = (9x-4)o , find the value of x.

ANSWER:x= _______

4

If \overrightarrow{QS} bisects \angle PQR , m \angle PQS = (7x – 6)°, and
m \angle SQR = (4x + 15)°, find m \angle PQT.


ANSWER:m \angle PQT = _______ o

4

The measure of \angle G is six more than twice the measure of \angle H. If \angle G and \angle H are complementary angles, find m \angle H.

ANSWER:m \angle H = _______ o

4

The measure of \angle  2 is twelve less than five times the measure of \angle 1. If \angle 1 and \angle 2 form a linear pair, find m \angle 2.

ANSWER: m \angle 2 =_______ o

4

BONUS: At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance.

ANSWER: The distance between Jalen and the entrance is _______ feet.