Geometry
1st Semester Review 2015
Name ____________________
Date _____________ Hr _____
4. FH = 56. Find the value of x and FG.
9. Refer to the diagram.
a. Name a pair of same-side interior angles.
b. Name a pair of corresponding angles.
1. Find the value of x.
5. In ABC, AB = 12, BC = 15, and AC = 22.
List the angles from largest to smallest.
2. Find the value of x.
10. Would you use SSS, SAS, ASA,AAS, or HL
with CPCTC to prove AD  CB ?
6. Write an equation of a line that is parallel to
y = 3x+5 and goes through the point (-2, 6).
3. Graph quadrilateral ABCD with vertices
A( – 5 , 2), B( –5, – 3 ), C( 2, – 3 ), and D( 2, 2 )
to determine its most precise name.
find the slope of AB and BC. What type of
angle is <B
7. Write the equation of a line that is
perpendicular to 2x-4y=8 and goes through
The point (-4,7)
y
11. List the angles of ABC in order of angle
measure from smallest to largest.
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1
–1
8. Find the value of x.
1
2
3
4
5
6
x
–2
–3
–4
–5
–6
12. Find the midpoint between
A( – 1, 5) and B(6, – 3).
Geometry
1st Semester Review 2015
13. The lengths of two sides of a triangle are 5 and 8.
Which can be the length of the third side?
A. 2
B. 13
C. 15
Name ____________________
Date _____________ Hr _____
18.
23.
D. 7
14. What is the distance between ( – 2, 3) and
(4, – 1)? Round your answer to the nearest tenth.
19.
15. Find the value of x.
Three segments given, determine if they could form
a triangle.
24. 14, 48, 50
25. 6, 7, 9
20.
26.
11 , 5, 7
27. A girl 4 feet tall casts a shadow 3 feet long. At
the same time, the shadow of her house is 18 feet
long. How tall is her house?
For each pair of triangles, state the postulate or
theorem you can use to prove the triangles
congruent. If the triangles cannot be proven
congruent, write not possible.
21.
28. Name the coordinates of the image of
after a composition using the given
transformations in the order they appear.
16.
22.
17.
P(4, 5), Q(7, 1), R(8, 8)
Translation: (x, y)
(x, y – 7)
Reflection: in the y-axis
Geometry
1st Semester Review 2015
Name ____________________
Date _____________ Hr _____
Use the diagram to answer the following.
Determine if the following triangles similar? If so,
write the similarity statement, and name the
postulate or theorem that you can use to prove they
are similar. If not, write not similar.
34.
29.
38. Which segment is the median? What is true
about the centroid of a triangle?
30.
35.
39. Which segment is the altitude?
40. Which segment is the angle bisector?
41. Which segment is perpendicular bisector?
31.
42. Plot the points for A(1,3) B(2, -2) and C(-4, 1)
Plot the reflection of these points in the
line y= 3. Then plot the rotation of the points
900 about the origin.
36.
Find the value of the variables for each of the
following figures.
32.
37.
33.
Geometry
1st Semester Review 2015
43. Find the geometric mean of 8 and 18. If the
answer is not a whole number, leave it in simplest
radical form.
Name ____________________
Date _____________ Hr _____
For the given set of lines, tell whether they are
parallel, perpendicular or neither.
48. y  4 x
y  3x  4
44. Find the geometric mean of 5 and 10. If the
answer is not a whole number, leave it in simplest
radical form.
45. Given the line y  3 x  2 , write the equation of
the line that is parallel to the given line and goes
through the point (-2, 5).
49. 3x  y  4
y  3x  7
50. 5 x  2 y  9
5 x  2 y  13
46. Two angles are supplementary. If one angle is
15 more than 3 times the other angle, find the
measure of each angle.
47. Prove that the lines are parallel given that angles
1 and 2 are congruent.