Download Geometry Review Quiz 4.1-4.3 Name: Date: ______ Use the figure

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Transcript
Geometry
Name: ________________________________________
1.
Review Quiz 4.1-4.3
Date: ____________
Use the figure to the right to answer the following:
a. Name the included side for 1 and 4. __________
F
D
b. Name the included side for 7 and 8. __________
1
4
C
9
5 7
10
c. Name the two nonincluded sides for 5 and 6. __________
d. Name the two nonincluded sides for 9 and 10. __________
2
R
11
3
6
8
12
S
e. CT is included between what two angles? __________
T
e. SR is included between what two angles? __________
f. In FDR , name a pair of angles so that FR is not included. __________
g. In SDT , name a pair of angles so that ST is not included. __________
2.
If the triangles are congruent, state by which postulate/theorem and write a triangle congruence
statement. If it is not possible to determine if triangles are congruent, write not enough information
(NEI).
a.
d.
b.
e.
c.
f.
Geometry
3. Classify each triangle by its (a) angles and its (b) sides.
4.
Review Quiz 4.1-4.3
a.
b.
c.
(a)
(a)
(a)
(b)
(b)
(b)
Identify all the congruent corresponding parts of the diagram below. Then write the congruence
statement.
a.
∡𝐶 ≅ _________
d. AB  __________
b.
∡𝐴 ≅ _________
e. BC  __________
c.
∡𝐵 ≅ _________
f. AC  _________
g. Congruence Statement: ________________________
5. In the diagram ∆ABC  ∆TUV. Complete each statement.
a. A 
b. VT 
c. BC
d. mA =
e. ∆VTU 
6. Use the given information to find each indicated value.
a. ∆XYZ  ∆RST
a=
b. ABCD  EFGH
b=
x=
y=
Geometry
Review Quiz 4.1-4.3
7. Given ∆ABC  ∆DEF, AB = 15, BC = 20, AC = 25 and FE = 3x -7.
a) Draw each triangle and label all corresponding sides and angles.
b) Find the value of x.
8. Given ∆HBT  ∆EBT, find the following
a. x = ____________
b. HT = __________
c. HE = __________
d. mBTE= _______
information:
9. Find each indicated value.
a..
x=
b.
x=
Geometry
Review Quiz 4.1-4.3
10. Decide whether enough information is given to show that the triangles are congruent and state which
postulate or theorem is used. If the triangles are not congruent, write not possible.
a) _______________
b) _____________
e) ______________
f) _____________
c) _____________
g) _____________
d) ______________
h) ______________
11. What else must you know to show the triangles congruent for the reason showed?
a) ASA
b) AAS
c) SSS
e) SAS