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3.7 Segment Proofs

Last updated about 1 month ago

5 Nsɛmmisa

8

6

6

7

7

Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Complete the proof.

Mmuae Afoforo a Wobɛpaw:

Prove

Substitution prop.

Subtraction Prop.

Given

M is the midpoint of \overline{MO}

Symmetric prop.

Simplification

\overline{LM}\cong\overline{NO}

Multiplication Prop.

Def. of bisect

Addition Prop.

Division Prop.

Segment Addition Axiom

Def. of midpoint

M is the midpoint of \overline{LN}

Reflexive prop.

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Complete the proof.

Mmuae Afoforo a Wobɛpaw:

Def. of bisect

PQ = QR

Substitution prop.

Division Prop.

Given

Addition Prop.

Symmetric prop.

Prove

Reflexive prop.

Segment Addition Axiom

Multiplication Prop.

Q is the midpoint of \overline{PR}

Simplification

2PQ = PR

Def. of midpoint

Subtraction Prop.

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Complete the proof.

Mmuae Afoforo a Wobɛpaw:

Addition Prop.

Simplification

Def. of bisect

Symmetric prop.

S is the midpoint of \overline{RT}

RS = ST

Division Prop.

Prove

Reflexive prop.

Substitution prop.

Def. of midpoint

Given

Subtraction Prop.

Multiplication Prop.

Segment Addition Axiom

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

Complete the proof.

Mmuae Afoforo a Wobɛpaw:

Def. of midpoint

XY = VY

Segment Addition Axiom

Subtraction Prop.

Division Prop.

Multiplication Prop.

Symmetric prop.

Def. of bisect

Given

Prove

Reflexive prop.

XZ = VY + YW

Addition Prop.

YW = YZ

XZ = XY + YZ

VW = VY + YW

Substitution prop.

Simplification

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

Complete the proof.

Mmuae Afoforo a Wobɛpaw:

YZ = TU

Simplification

XY = UV

Given

Def. of bisect

Subtraction Prop.

Def. of midpoint

XZ = XY + YZ

Addition Prop.

Prove

Multiplication Prop.

Substitution prop.

Division Prop.

TV = TU + UV

Symmetric prop.

Segment Addition Axiom

Reflexive prop.