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WorksheetsGeometry 5.5 SSS & HL Congruence & Proofs
Total questions: 13
Worksheet time: 11mins
Name
Class
Date
1.
a)
∠B≇∠E and ∠C≇∠F
b)
∠C≇∠F and AC≇DF
c)
∠B≇∠E and AC≇DF
d)
∠B≇∠E and ∠C≇∠F and AC≇DF
2.
a)
ΔABC≅ΔBED by SAS
b)
ΔABC≅ΔBED by SSS
c)
ΔACB≅ΔDEB by SAS
d)
ΔACB≅ΔDEB by SSS
3.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
4.
a)
ΔABC≅ΔDCB by HL
b)
ΔABC≅ΔDCB by SAS
c)
ΔABC≅ΔDCB by SSA
d)
ΔABC≅ΔDCB by SSS
5.
a)
ΔPQT≅ΔSRT by HL
b)
ΔPQT≅ΔSRT by SAS
c)
ΔPQT≅ΔSRT by SSA
d)
ΔPQT≅ΔSRT by SSS
6.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
7.
a)
DF≅FD by Reflexive Property so ΔDEF≅ΔDGF by SSS
b)
∠E≅∠G are Vertical Angles so ΔDEF≅ΔDGF by SSS
c)
DF≅FD by Symmetric Property so ΔDEF≅ΔDGF by SSS
d)
∠E≅∠G are Alternate Interior Angles so ΔDEF≅ΔDGF by SSS
8.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
9.
a)
Only PS≅RS because QS≅QS by Reflexive Property
b)
Only QS≅QS because PS≅RS by Reflexive Property
c)
Both QS≅QS and PR≅RS
d)
Both QS≅QS and PS≅RS
10.
a)
ΔLMN≅ΔSTU by HL
b)
ΔLMN≅ΔSTU by SAS
c)
ΔLMN≅ΔSTU by SSA
d)
ΔLMN≅ΔSTU by SSS
11.
a)
rigid transformation, reflect
b)
similarity transformation, reflect
c)
rigid transformation, rotate
d)
similarity transformation, rotate
12.
a)
Δ LMN≅Δ STU by HL
b)
Δ LMN≅Δ STU by SAS
c)
Δ LMN≅Δ STU by SSA
d)
Δ LMN≅Δ STU by SSS
13.
a)
rigid transformation, reflect
b)
similarity transformation, reflect
c)
rigid transformation, rotate
d)
similarity transformation, rotate
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