Mr. D Geometry 2.5
UNO Proofs
We have learned how the game UNO works. Your goal is to PROVE that the last card in your
hand can be played, if you are playing one card after another. Complete a two column proof
for each of the following exercises, with statements and reasons in the columns. A reason must
be provided for each statement, and the final statement must be the item you were to prove.
Ex) Given:
Prove:
Green 3 is showing. Your hand consists of Blue 3, Yellow 10, Blue 10, Red 3.
You can play the Yellow 10.
Statements
1. Green 3 is showing
2. Play the Red 3
3. Play the Blue 3
4. Play the blue 10
5. Play the Yellow 10
1) Given:
Prove:
Red Skip is showing. Your hand consists of Green 7, Blue 3, Red 4,
Green Reverse, Red Reverse, Blue 7.
You can play the Blue 3.
Statements
2) Given:
Prove:
Reasons
1. Given
2. A 3 can be played since a 3 is showing
3. A 3 is showing
4. Blue is showing
5. A 10 is showing.
Reasons
Blue Reverse is showing. Your hand consists of Blue 7, Green 8,
Red 8, Yellow 7, Yellow 8, Green 3, Red 3.
You can play the Green 3.
Statements
Reasons
3) Given:
Prove:
Yellow 5 is showing. Your hand consists of Blue 0, Red 0, Green 5, Draw 4
Wild, Blue 5.
You can play the Blue 5.
Statements
4) Given:
Prove:
Green Skip is showing. Your hand consists of Red 5, Blue 2, Green 2, Blue
Skip, Blue Reverse, Green 5.
You can play the Red 5.
Statements
5) Given:
Prove:
Reasons
Reasons
Blue Skip is showing. Your hand consists of Red 1, Yellow Skip, Blue 5,
Green Skip, Yellow 1, Red 5.
You can play the Green Skip.
Statements
Reasons