Geo. Chapter 2 Summative.

By Kristen Korek
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Last updated over 3 years ago
16 Questions
Geometry. Chapter 2 Summative.

Angle Relationships.

C1P3. Students will create and solve equations for multiple geometric situations.


C2P2. Students will use models to solve real-world problems and interpret solutions in context.

C3P1. Students will communicate mathematical reasoning in multiple contexts.

C4P1. Students will know and use vocabulary and notation to describe, sketch shapes and -figures.

Use the image below to find all of the letters and answer questions #1-9.

1
1.
C1P3.

a=?
1
2.
C1P3.

b=?
1
3.
C1P3.

c=?
1
4.
C1P3.

d=?
1
5.
C1P3.

e=?
1
6.
C1P3.

f=?
1
7.
C1P3.

g=?
1
8.
C1P3.

h=?
1
9.
C1P3.

j=?
1
10.
C1P3.

a=?

1
11.
The image below is a parallelogram, therefore opposite sides are parallel. Find the measure of angle D.


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12.
1
13.
C2P2.

Every summer solstice in the city of Syene, the sun was directly overhead at noon. On the same day at noon in a city called Alexandia, a city north of Syene, the angle between the perpendicular to the ground and the rays of the sun was about 7;5 degrees. The distance between Syene and Alexandria was known to be about 5,000 states, the stade was a Greek unit of measurement, and 1 stade is approximately 600 feet.

Explain ho Erasotehenes used this information to calculate the circumference of the Earth, include both a model and numerical explanation.
Competency #3. The questions below are relevant to your ability to communicate geometry. Use the most precise vocabulary as you can. Include at least some of the words below:

Vertical Angles, Supplementary Angles, Linear Pair, Parallel lInes, Transversal, Alternate Interior Angles, Alternate Exterior Angles, Consecutive Interior Angles, Consecutive Exterior Angles, Corresponding Angles.

1
14.
C1P3.

Find angle z and explain your strategy.


1
15.
Explain what is wrong with the image below.

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16.