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CPCTC Proof Practice

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Posljednje ažuriranje over 1 year ago
7

Explain how you can use SSS, SAS, ASA, or AAS along with CPCTC to prove each statement true.

***Note: Information provided on the diagram with congruence or other markings is "Given" information.

7
5
6
8
8
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10
Pitanje 1
1.
Drugi mogući odgovor:
SAS
All right angles are congruent
AAS
symmetric property
congruence property
ASA

Vertical Angles are \cong

Given
SSS
CPCTC
Definition of perpendicular
Prove
Definition of Midpoint
reflexive property
Alternate Interior Angles
Pitanje 2
2.
Drugi mogući odgovor:
all right angles are congruent
ASA
Alternate Interior Angles
Given
SAS
Definition of Midpoint
Reflexive Property
Property of Shared Sides

Vertical Angles are \cong

Prove
SSS
AAS
Definition of Perpendicular
CPCTC
Pitanje 3
3.
Drugi mogući odgovor:
SAS
Given

Alternate Interior Angles are \cong

Property of Shared Sides
SSS
all right angles are congruent
Definition of Midpoint
ASA
Reflexive Property
Prove
CPCTC

Vertical Angles are \cong

AAS
Pitanje 4
4.
Drugi mogući odgovor:
Given

\overline{QS}\cong\overline{SQ}

\overline{QT}\cong\overline{SR}

Reflexive Property
All right angles are congruent

Alternate Interior Angles are \cong

\overline{QR}\cong\overline{ST}

SSS
AAS
Definition of Midpoint
Definition of perpendicular
Prove
ASA
Symmetric Property
SAS

\angle{QST}\cong\angle{SQR}

CPCTC
Pitanje 5
5.
Drugi mogući odgovor:
Reflexive Property

\angle{UVX}\cong\angle{WVX}

ASA

\angle{U}\cong\angle{W}

\angle{UXV}\cong\angle{WXV}

All right angles are congruent
AAS

Alternate Interior Angles are \cong

\overline{VX}\cong\overline{VX}

SSS
Given
CPCTC
Definition of Midpoint
Prove
SAS
Symmetric Property

\overline{UX}\cong\overline{WX}

Definition of perpendicular
Pitanje 6
6.
Drugi mogući odgovor:

Vertical Angles are \cong

\overline{YZ}\cong\overline{BC}

Reflexive Property

Alternate Interior Angles are \cong

Symmetric Property
All right angles are congruent
Prove
SAS
Definition of Midpoint
Given
CPCTC
SSS

\angle{ZAY}\cong\angle{CAB}

AAS

\angle{Z}\cong\angle{C}

\overline{ZA}\cong\overline{CA}

Definition of perpendicular
ASA

\angle{Y}\cong\angle{B}

Pitanje 7
7.
Drugi mogući odgovor:
SSS
SAS

Definition of rt \angle

CPCTC

same side interior angles are \cong

Definition of congruent

\angle{CAB}\cong\angle{ECD}

Given

\angle{ACB}\cong\angle{CED}

alternate interior angles are \cong

AAS

\angle{B}\cong\angle{D}

corresponding angles are \cong

\overline{AB}\cong\overline{CD}

ASA
Definition of midpoint