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Laabri

Geo. Chapter 2 Summative.

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16 Nsɛmmisa

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

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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.

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1.

C1P3.

a=?

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2.

C1P3.

b=?

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3.

C1P3.

c=?

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4.

C1P3.

d=?

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5.

C1P3.

e=?

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6.

C1P3.

f=?

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7.

C1P3.

g=?

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8.

C1P3.

h=?

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9.

C1P3.

j=?

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10.

C1P3.

a=?

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11.

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

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12.

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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.

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14.

C1P3.

Find angle z and explain your strategy.

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15.

Explain what is wrong with the image below.

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16.