Download Geometry 1st Semester Exam Review.docx, pg. 1 Name: Date

Name: _________________________________________ Date: _________________ Period: _______
Geometry 1st Semester Review
6. In the diagram below, AC is a straight line, B is a
point on the line, BD ⊥ BE , and m∠CBE=47°.
Find m∠ABD.
1. Complete the following proof:
Given: 8 x + 7 = 7 ( x + 3 )
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
●
E
●
D
47°
●
A
2. What is an equation of the line parallel to the
line whose equation is 3 x − y = 9 and that
passes through the point (0, 8)?
B
●
C
7. Write the following definition as a biconditional:
A triangle which has at least two
congruent sides is an isosceles
triangle.
3. What is the midpoint of the line segment
connecting the points (7, –1) and (–2, –5)?
8. What is the converse of the statement below?
4. What is the distance between the points (6, –5)
and (1, 1)?
If an angle measures less than 90°,
then it is an acute angle.
5. Using the protractor below, what appears to be
the measure of ∠ABC?
9. The statements below are out of order.
A
W:
X:
Y:
Z:
B
C
Geometry 1st Semester Exam Review.docx, pg. 1
If toc, then blitz.
If mot, then det.
If blitz, then kerd.
If kerd, then mot.
Put the nonsensical if-then statements in logical
order.
10. In the accompanying figure, name all the pairs
of corresponding angles?
14. Write an inequality for y.
3 4
7 8
1 2
5 6
3y+16
9y+4
(7x+13)°
11. In the accompanying diagram, line l is parallel
to line m, and line t is a transversal. Name a
pair of same-side interior angles. What is the
sum of these angles?
t
l
1 2
3 4
15. Find the value of x.
(2x+19)°
m
5 6
7 8
(3x+4)°
12. Line n intersects line m and p, forming the
angles shown in the diagram below. Which
value of x would prove m p?
m
(7x+5)°
16. In isosceles triangle ABC, AB = BC. Sketch the
triangle and label the vertices.
p
(9x – 11)°
(5x + 17)°
n
17. In the diagram below, B is the midpoint of AC ,
DA ⊥ AC , EC ⊥ AC , and DA ≅ EC . Which
theorem may be used to prove ∆DAB ≅ ∆ECB?
D
13. Line p is parallel to line k in the figure shown
below. Which lines are perpendicular to line j ?
p
k
A)
B)
C)
D)
E
SAS
ASA
HL
AAS
m
A
j
Geometry 1st Semester Exam Review.docx, pg. 2
B
C
22. Based on the triangle below, what is the value
of x?
18. In the diagram of triangles BAT and FLU,
∠B ≅ ∠F and BA ≅ FL . Which statement is
needed to prove ∆BAT ≅ ∆FLU by SAS?
3x-7
A
L
4x + 10
U
B
T
F
23. Can the numbers (a) 8, 12, 20 or (b) 7, 9, 15
represent the sides of a triangle?
19. Complete the proof.
Given: E is the midpoint of AB , and
∠D ≅ ∠C.
Prove: ∆ADE ≅ ∆BCE
A
24. Find the values of x and y.
x
C
30°
11
y
E
B
D
Statement
1. ∠D ≅ ∠C
2. E is midpt of AB
3. AE ≅ EB
Reason
1. Given
2. Given
3. Def. midpt.
4. ∠AED ≅ ∠BEC
4.
5. ∆ADE ≅ ∆BCE
5.
25. What is the measure of one exterior angle of a
regular nonagon?
26. The four interior angles of a quadrilateral have
measures as follows: (18x–1)°, (4x+17)°,
(5x+1)°, and (13x–7)°. Find the value of x.
20. SU bisects ∠RST. If RU = 4x − 7 and
UT = 8 x − 31, what is the value of x?
27. In parallelogram RSTU, RU = 13 x − 12 and
ST = 6 x + 16 . Find the value of x.
S
R
T
U
S
T
21. In triangle SUM, m∠S = 68° and m∠U = 54°.
Which side of ∆SUM is the shortest?
Geometry 1st Semester Exam Review.docx, pg. 3
R
U
28. MLHS is a kite, and m∠MLS = 152°. What is
m∠SEH?
L
E
M
H
S
29. ABCD is an isosceles trapezoid. m∠ADC =
125°, AB = 18 inches, and DC = 29 inches. X is
the midpoint of AD , and Y is the midpoint of
BD . What is XY?
A
X
D
B
Y
C
Geometry 1st Semester Exam Review.docx, pg. 4