Name ____________________ Period _____
Quarter 2 Practice Final Exam
(SKILL #8: Classifying triangles by sides and angles)
Name each triangle according to its angles AND sides (give two names for each triangle).
A.
B.
C.
Given: x = 8
W
E.
D.
15°
3x – 1
x + 15
4x – 9
80°
Z
Y
R
F.
Q
S
T
55°
45°
X
Classify the triangle by angle measures.
i)
ΔZYW _________________________
ii)
ΔYXW ________________________
Classify the triangle by side lengths.
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i)
ΔQTR ______________________
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ii) ΔQRS __________________________
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(SKILL #9: Properties of Isosceles and Equilateral Triangles)
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A.
C
B.
A
Find x. ________
Find m∠B _________
5x°
Find m∠A _________
3x+18°
(5x - 15)°
B
C.
x = __________
58°
y = ____________
z = ____________
y°
z°
Name ____________________ Period _____
D.
5x + 13
Find x.
2x + 43
F
E.
m∠E = ____________
m∠G = ____________
36º
E
G
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(SKILL #10: Triangle congruence proofs)
Fill in the blanks to complete the proof.
A. GIVEN: AB ≅ AC and
AD is the angle bisector of ∠BAC
PROVE: ΔBDA ≅ ΔCDA
Statements
A
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B
D
B. GIVEN: AB || DC ,
PROVE: AD ≅ CB
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C
∠A ≅ ∠C
1.
1. Given
2.
AD is the angle bisector of
∠BAC
2.
3.
3. Definition of angle bisector
4.
4. Reflexive Property
5.
5.
ΔBDA ≅ ΔCDA
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B
€
€
A
Reasons
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Statements
1. AB || DC
1. Given
2.
2. Alternate interior angle theorem
∠ABD ≅ ∠CDB
3.
3. Given
4.
4. Reflexive Property
5. ∆ABD ≅ ∆CDB
5.
C
6.
6.
D
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Reasons
AD ≅ CB
Name ____________________ Period _____
(SKILL #11: Properties of Polygons)
A. Tell whether each figure is a polygon. If it is, name it by the number of its sides. Tell whether the polygon
is concave or convex, irregular or regular.
i) _________________________________ ii) _________________________________
B. Find the sum of the interior angle measures of a convex 14-gon.
C. Find the measure of each interior angle of a regular nonagon.
D. Find the measure of each exterior angle of a regular octagon.
E. Find the measure of each exterior angle in the diagram below.
______ ________ _______ _______ _______
(SKILL #12: Properties of Parallelograms)
A. ABCD is a parallelogram. BC = 37 inches, AC = 58 inches, and m∠BAD = 65˚.
AD = ________EC = ____________
m∠ADC = ______m∠BCD = ______
B. WXYZ is a parallelogram
i. Find m∠Z. _________
ii. Find m∠W_________
iii. Find YZ_________
C. EFGH is a parallelogram
i. Find JG. ________ ii. Find FJ._______
iii. Find EJ.________iv. Find HJ.______
Name ____________________ Period _____
(SKILL #13: Properties of Special Parallelograms)
A. Determine whether the quadrilateral below is a rectangle, rhombus, square or just a parallelogram.
_________________
___________________
______________________
_______________________
B. ABCD is a rectangle.
i. CD = _____________ ii. AD = ____________
iii. BE = ______________ iv. AC = ____________
C.
ii. x = _____________ ii. LK = ____________
iii. y = ______________ iv. m∠MNL = ___________
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