Triangle Congruence: SAS Answers

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1
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Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

A
a reflection only
B
a rotation only
C
a rotation and a reflection
D
a translation and a reflection
E
a translation only
2
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angles BCA and DCA form a linear pairangle BCA is congruent to angle DCAsegment AC is perpendicular to segment BD

A
angles BCA and DCA form a linear pair
B
angle BCA is congruent to angle DCA
C
segment AC is perpendicular to segment BD
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XYZ

A
X
B
Y
C
Z
111585

translatereflectrotate

A
translate
B
reflect
C
rotate
111588

Complete the missing parts of the paragraph proof.

Answers:
We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg:it is given
We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg:DE
We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg:DFE and DEF
We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg:DFB and DEC
111589

DBDCDE

A
DB
B
DC
C
DE
111590

DCE and DBFDFE and DEFFDC and EDB

A
DCE and DBF
B
DFE and DEF
C
FDC and EDB
111591

DFB and DECECD and DBCFDC and EDB

A
DFB and DEC
B
ECD and DBC
C
FDC and EDB

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Triangle Congruence: SAS Answers — OC27…