Download First Semester Geometry Exam Review – January 2015 Chapter 1

First Semester Geometry Exam Review – January 2015
Chapter 1 Review
1. Draw a picture of opposite rays.
2. Identify the points collinear with J.
3. What is the complement of a 40° angle?
4. What is the supplement of <P if <P = (4x+40)?
5. Find the distance a number line.
a. MO
b. NO
6. Find the area and perimeter of each triangle. (Hint: Use your formula sheet!)
a.
b.
**You will not be able to solve for y.
** You will only need to simplify for this problem.
Area =
Area=
Perimeter = not enough information
Perimeter=
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7. The rectangles on a quilt are 3 in. wide and 2 in. long. The perimeter of each rectangle is made by a
pattern of red thread. If there are 20 rectangles in the quilt, how much red thread will be needed?

Find the perimeter of each rectangle.

Multiply by the 20 rectangles.
8. Find the midpoint. (Hint: Use midpoint formula!!!!)
Endpoints (-4,0) and (4, 2)
9. Find the midpoint given the following endpoints.
a.
b.
c.
10. Write a rule for each transformation:
Reflection – mirror image (over the y-axis or over the x-axis)
a.
reflection over ___-axis
b.
reflection over ___-axis
Rotations –flip/ turns (90, 180, 270, 360 degrees)
a.
____degrees
b.
____degrees
2
Translation – a slide (describe how many the object moved up/down and left/right)
a.
b.
right or left _____ spaces
up or down _____ spaces
(x, y) -> (x
, y
)
right or left _____ spaces
up or down _____ spaces
(x, y) -> (x
, y
)
Chapter 3 Review
11. Identify the following as skew, parallel, and perpendicular segments.
a. JK and HL ___________________________
b. JH and JK_____________________________
c. QP and KN ____________________________
12. Parallel Lines and a Transversal – For a-d identify one pair of each type of angles and tell if each type
of angles are congruent or supplementary (=180°).
a)
b)
c)
d)
Corresponding Angles ___________________________________________________________
Alternate Exterior Angles________________________________________________________
Alternate Interior Angles________________________________________________________+
Same Side Interior Angles________________________________________________________
For e-g find the values of x.
e)
f)
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g)
13. What is a possible value for x?
Hints:
14. What is the slope of a line that passes through the points below?
Hint: What is the slope formula? m = ____________
a.
b.
c.
15. Find the slope of the two lines and tell if the lines are parallel, perpendicular, or neither.
a.
b.
c.
Work Space:
a.
b.
c.
16. What does it mean when a line coincides with another line?
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17. Match the following slopes to the type of line.
1. horizontal
2. vertical
a. zero
b. undefined
18. a. Write an equation for a line in slope intercept form that passes through the points (-3, 2 ) and (-4, 5 ).
Find the slope:
Plus in one point to find b:
Plug in m and b to slope intercept form:
b. Write an equation for a line in slope intercept form that passes through the points (2, -5) and (-1, 4).
Chapter 4 Review
19.
a.
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20. One of the acute angles in a right triangle has measure of 36 degrees. What is the measure of the other
acute angle?
21.
22. Can the following triangles proved congruent? If so, explan how (SSS, SAS, AAS, ASA, or HL)
– Chapter 4 Common Assessment will be reviewed in class. Be sure to write down examples and mistakes to
practice and review.
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Common Assessment Review
1. Write the conditional statement in the form of the converse, inverse, and contrapositive.
Conditional Statement: If you study, then your grades will improve.
Converse
Inverse
Contrapositive
2. If G is between F and H, FG= 3x-3, GH = 2x+5 and FH =17, Find GH.
3. Two lines intersect to form this figure. What is the value of x?
4. If m<ECA = 85° and m<ABC = 60°, what is m<CAB?
5. Congruent Triangles.
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