Download Geometry Review for Unit 1

Name:____________________________
Geometry Review for Unit 1 Test
Target 1- I can use the vocabulary of constructions and proof.
1. Conditional statement: If alternate interior angles are congruent then the lines are parallel.
Write the converse
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Write the inverse
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Write the contrapositive
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2. Explain how inductive reasoning could be used to find a conclusion.
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True or False. If false, make a correction on the statement to make it true.
1. If two lines are parallel and cut by a transversal then same-side interior angles are congruent.
2. Vertical angles are always formed by intersecting lines.
3. If alternate interior angles are congruent, then the lines crossed by the transversal they are on
are perpendicular.
4. Linear pairs of angles are complementary.
Target 2- I can find angles formed by transversals
B
H
1. ∡3 𝑎𝑛𝑑 ∡9 𝑎𝑟𝑒 𝑠𝑢𝑝𝑝𝑙𝑒𝑚𝑡𝑎𝑟𝑦 , what is a conclusion you can make?
A
10
9
11
4
2. What is true about ∡1 𝑎𝑛𝑑 ∡8?
8
7
1
5
12
3
G
6
D
2
3. Name a pair of corresponding angles.
E
F
Use for 1-4
4. 𝑚∡3 = 85°, 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑚𝑒𝑎𝑠𝑢𝑟𝑒 𝑜𝑓 ∡6.
5x-30
5. Solve for x
3x + 20
2x+20
6. If ∡1 = 130 𝑎𝑛𝑑 ∡4 = 90, find the remaining angles
and justify your reasoning. (remember a triangle’s three angles
add up to 180)
4
6
3
5
2
1
Target 3- I can produce diagrams
1. Draw a diagram where line m is parallel to line n and line a. Line b is perpendicular to m. Label
the picture so that angles 1 & 3 are a linear pair, angles 2 and 4 are vertical angles, and angles 2
and 3 are alternate interior angles.
2. Draw a diagram where Main and Center street are parallel. Locust is perpendicular to both of
these streets. Empire intersects with Center and Main, but is not perpendicular to these two
streets, and also intersects with Locust.
Target 4- I can use constructions tools
Be able to use a ruler and compass to create constructions of the following. The drawings need to be
crisp, and contain all constructions lines. Review your packet that we did when creating these
constructions. The quiz you took was open note, but the test will not be! Make sure you understand
how to make these constructions.
Angle bisector
Perpendicular bisector of a line segment
Perpendicular line through a point
Parallel lines through a point
Target 5- I can form conjectures about angles and lines.
Write a two-column proof for each of the following problems.
1.
2.