|
The first 3 sides are fill in the blank responses. I did not abbreviate any words except for POE (property of equality) so to get the response marked "correct" you have to spell it correctly. I did not include POE for Substitution.
A nice feature of this program is that at the end, you can go back and review your answers by clicking on the darkened arrow in the upper right corner of the screen. There will be an X in the corner of any problem that you missed. Check it out. 1. ∡3 and ∡4 are complements.
2. m∡3 + m∡4 = 90∘
3. ∡1 ≅ ∡4
4. m∡1 = m∡4
5. m∡3 + m∡1 = 90∘
6. ∡3 and ∡1 are complements. ◄ ◄ 1 2 ▲ 5 3 4 1. Given 2. 3. 4. 6. 5. 1. m∡1 + m∡2 = 180∘
2. ∡4 ≆ ∡5
3. ∡5 ≅ ∡1
4. ∡4 ≅ ∡1
5. m∡4 = m∡1
6. m∡4 + m∡2 = 180∘
7. ∡4 and ∡2 are supplements 1 2 7. 4. 5. 6. 2. 3. Given 1. 4 5 1. m∡1 + m∡2 = 180∘ 2. m∡2 + m∡3 = 180∘
3. m∡1 + m∡2 = m∡2 + m∡3
4. m∡1 = m∡3
5. ∡1 ≅ ∡3
1 4 2 3 1. 2. 3. 4. 5. Segment Addition Addition POE Which is the correct missing reason? 1. AB + BC = CD + BC 2. AB = CD A B C D Subtraction POE Definition of between 1. Given 2.___?_____
B C
1. AB = CD 2. AB + BC = CD + BC What is the correct missing reason? Segment Addition Addition POE A B C D Subtraction POE Def. of midpoint 1. Given 2.___?_____
B C
1. ∡DEF ≅ ∡FEG 2. EF bisects ∡DEG Def. of angle trisector Angle Addition What is the correct reason for statement #2? E D F Def. of congruent ∡'s Def. of angle bisector G 1. Given 2. __?__ What is the correct missing reason for the statement? Segment Addition Angle Addition 1. m∡DEF + m∡FEG = m∡DEG E D F Addition POE Def. of angle bisector G 1. ____?_____ 1. m∡HED + m∡DEF = m∡DEF + m∡FEG 2. m∡HED = m∡FEG What is the correct missing reason for statement #2? Addition POE Angle Addition E H D F Def. of angle trisector Subtraction POE G 1. Given 2. ___?_____ 1. m∡HED = m∡FEG 2. m∡HED + m∡DEF = m∡DEF + m∡FEG What is the correct missing reason for statement #2? Angle Addition Addition POE E H D F Subtraction POE Def. of angle trisector G 1. Given 2. ___?_____ Def. of midpoint Def. of between What is the correct reason for statement #2? 1. Q is the midpoint of PR 2. PQ ≅ QR P Q R Def. of segment bisector Def. of congruence T ∙ 1. Given 2. ___?___ Def. of midpoint Def. of between What is the correct reason for statement #2? 1. PQ ≅ QR 2. QT bisects PR P Q R Def. of segment bisector Def. of congruence T ∙ 1. Given 2. ___?___ Def. of angle trisector Def of segment trisector What is the correct reason for statement #2? 1. BE and CE trisect AD 2. AB ≅ BC ≅ CD A B C D Def. of ≅ segments None of these 1. Given 2. __?__ E Def. of angle trisector Def of segment trisector What is the correct reason for statement #2? 1. ∡AEB ≅ ∡BEC ≅ ∡CED 2. BE and CE trisect ∡AED
A B C D E Def. of congruence None of these 1. Given 2. __?__ What is the correct reason for statement #3? Def. of congruent angles Def. of right angle 1. ∡D is a right angle 2. ∡E is a right angle 3. ∡D ≅ ∡E D E 1. Given 2. Given 3. __?__ Substitution Right angles are ≅ What is the correct reason for statement #3? Def. of congruent angles Def. of straight angle 1. ∡BDC is a straight angle 2. ∡FEG is a straight angle 3. ∡BDC ≅ ∡FEG ∙ B D C ∙ ∙ ∙F Substitution Straight angles are ≅ ∙E 1. Given 2. Given 3. __?__ ∙G What is the correct reason for statement #3? Def. of congruent angles Def. of right angle 1. m∡D =90∘ 2. m∡E =90∘ 3. ∡D ≅ ∡E D E 1. Given 2. Given 3. __?__ Substitution Right angles are ≅ What is the correct missing reason for statement #2? 1. m∡HED = 40∘ 2. m∡HED + m∡DEF = m∡HEF 3. 40∘ + m∡DEF = m∡HEF Addition POE Angle Addition E H D F Def. of congruent angles Substitution POE G 1. Given 2. ___?_____ 3. ___?_____ 1. m∡HED = 40∘ 2. m∡HED + m∡DEF = m∡HEF 3. 40∘ + m∡DEF = m∡HEF What is the correct missing reason for statement #3? Addition POE Angle Addition E H D F Def. of congruent angles Substitution POE G 1. Given 2. ___?_____ 3. ___?_____ 1. AB = EF 2. AB + BC = AC 3. EF + BC = AC What is the correct reason for statement #2? Addition POE Substitution ∙ ∙ E F A B C ∙ ∙ Def. of congruent segments Segment Addition 1. Given 2. __?__ 3. __?__ ∙ 1. AB = EF 2. AB + BC = AC 3. EF + BC = AC What is the correct reason for statement #3? Addition POE Substitution ∙ ∙ E F A B C ∙ ∙ Def. of congruent segments Segment Addition 1. Given 2. __?__ 3. __?__ ∙ What is the correct reason for statement #1 Given Def. of straight angle 1. ∡PRT is a straight angle 2. m∡PRT = 180∘ 3. m∡PRT = m∡PRQ + m∡QRT 4. 180∘ = m∡PRQ + m∡QRT ∙P ∙Q ∙R Angle Addition Assumed from diagram ∙T 1. __?__ 2. __?__ 3. __?__ 4. __?__ What is the correct reason for statement #2 Given Def. of straight angle 1. ∡PRT is a straight angle 2. m∡PRT = 180∘ 3. m∡PRT = m∡PRQ + m∡QRT 4. 180∘ = m∡PRQ + m∡QRT ∙P ∙Q ∙R Angle Addition Assumed from diagram ∙T 1. __?__ 2. __?__ 3. __?__ 4. __?__ What is the correct reason for statement #3 Given Def. of straight angle 1. ∡PRT is a straight angle 2. m∡PRT = 180∘ 3. m∡PRT = m∡PRQ + m∡QRT 4. 180∘ = m∡PRQ + m∡QRT ∙P ∙Q ∙R Angle Addition Assumed from diagram ∙T 1. __?__ 2. __?__ 3. __?__ 4. __?__ What is the correct reason for statement #4 Substitution Def. of straight angle 1. ∡PRT is a straight angle 2. m∡PRT = 180∘ 3. m∡PRT = m∡PRQ + m∡QRT 4. 180∘ = m∡PRQ + m∡QRT ∙P ∙Q ∙R Angle Addition Straight ∡'s are congruent ∙T 1. __?__ 2. __?__ 3. __?__ 4. __?__ 1. VW ≅ WX 2. WX ≅ XY 3. VW ≅ XY Def. of ≅ segments What is the correct reason for statement #3? Transitive V W X Y ∙ ∙ Substitution Segment Addition 1. Given 2. Given 3. __?__ ∙ ∙ Def. of congruent angles 1. ∡LQM is a right angle 2. m∡LQM = 90∘ 3. m∡MQW = 90∘ 4. ∡LQM ≅ ∡MQW Def. of right angle What is the correct reason for Statement #2? ∙L ∙M ∙Q Angle Addition Rt. angles are ≅ ∙W 1. Given 2. __?__ 3. Given 4. __?__ Def. of congruent angles 1. ∡LQM is a right angle 2. m∡LQM = 90∘ 3. m∡MQW = 90∘ 4. ∡LQM ≅ ∡MQW Def. of right angle What is the correct reason for Statement #4? ∙L ∙M ∙Q Angle Addition Rt. angles are ≅ ∙W 1. Given 2. __?__ 3. Given 4. __?__ Def. of congruent ∡'s Transitive What is the correct reason for Statement #3 1. ∡HED ≅ ∡DEF 2. ∡DEF ≅ ∡FEG 3. ∡HED ≅ ∡FEG E H D F Def. of angle trisector Substitution G 1. Given 2. Given 3. __?__ How comfortable did you feel with these proofs? Type in your response in the box: |