Proving Figures Are Special Quads Flashcards

1
Q

To prove a quad is a parallelogram

A

1) both pairs of opp sides ll
2) both pairs off opp sides =
3) 1 pair of opp sides both ll and =
4) diagonals bisect eachother
5) both pairs of opp

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2
Q

To prove a quad is a rect

A

First prove its a parallelogram then prove
1) 1 angle is rt
Or
2) prove diagonals =

Prove its a quad with 4 rt angles

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3
Q

To prove a quad is a rhombus

A

Prove its a parallelogram then
1) prove consec sides =
Or
2) prove either diagonal bisects 2 angles
Prove its a quad where both diagonals perp bi of eachother

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4
Q

To prove a quad is a square

A

1) prove its both a rect and rhombus

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5
Q

To prove a quad is a kite

A

1) prove two disjoint pairs of consecutive sides =
Or
2) prove 1 diagonal perp bisector of the other
Or
3) prove 1 diagonal bisects a pair of opp angles

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6
Q

If you think a quad is an isos trap

A
1) prove its a trap by showing 1 pair off ll sides then 
A) legs =
Or
B) prove upper or lower bases=
Or
C) diagonals =
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