12.07.2015 Views

Fill in the blanks with the justifications and steps listed to complete ...

Fill in the blanks with the justifications and steps listed to complete ...

Fill in the blanks with the justifications and steps listed to complete ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Geometry Proof PracticeName ________________<strong>Fill</strong> <strong>in</strong> <strong>the</strong> <strong>blanks</strong> <strong>with</strong> <strong>the</strong> <strong>justifications</strong> <strong>and</strong> <strong>steps</strong> <strong>listed</strong> <strong>to</strong> <strong>complete</strong> each of <strong>the</strong> follow<strong>in</strong>gtwo-column proofs. Use <strong>the</strong> choices found <strong>in</strong> <strong>the</strong> chart below <strong>the</strong> proof.#1Given: ∠1 <strong>and</strong> ∠2 are straight angles.Prove: ∠1 ≅ ∠2Proof:StatementsReasons1. a. ___________________________________ 1. Given2. m∠1 = 180°, m∠2 = 180° 2. b. __________________________________3. m∠1 = m∠2 3. Subst. Prop. of =4. c. ___________________________________ 4. Def. of ≅ ∠ sChoices: ∠1 ≅ ∠2 Def. of straight ∠ ∠1 <strong>and</strong> ∠2 are straightangles.Now try #2 <strong>and</strong> #3 on your own#2Given: ∠1 <strong>and</strong> ∠2 form a l<strong>in</strong>ear pair, <strong>and</strong>∠3 <strong>and</strong> ∠4 form a l<strong>in</strong>ear pair.Prove: m∠1 + m∠2 + m∠3 + m∠4 = 360°


Geometry Proof Practice#5Name ________________Given:Prove:AB ≅ BC <strong>and</strong> BC ≅ DEAB ≅ DETwo-Column Proof:StatementsReasons1. 1. Given2. AB = BC, BC = DE 2. Def<strong>in</strong>ition of congruent segments3. AB = DE 3.4. AB ≅ DE4. Def<strong>in</strong>ition of congruent segments#6Given: V is <strong>the</strong> midpo<strong>in</strong>t of SW , <strong>and</strong> W is <strong>the</strong> midpo<strong>in</strong>t of VT .Prove:SV ≅ WTTwo-Column Proof:StatementsReasons1. V is <strong>the</strong> midpo<strong>in</strong>t of SW .1. Given2. 2. Given3. 3. Def<strong>in</strong>ition of midpo<strong>in</strong>t4. SV ≅ WT4. Transitive Property of Equality

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!