In Review Exercises 27 to 29, give a proof for each statement.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Elementary Geometry For College Students, 7e
- In Exercise 1 to 10, classify each statement as true or false. DAACarrow_forwardIn Exercise 1 to 10, classify each statement as true or false. CE=EDarrow_forwardIn Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: E is the midpoint of DF Prove: DE=12(DF) Exercises 27, 28 PROOF Statements Reasons 1. E is the midpoint of DF 1. ? 2. DE=EF 2. ? 3. DE+EF=DF 3. ? 4. DE+DE=DF 4. ? 5. 2(DE)=DF 5. ? 6. DE=12(DF) 6. ?arrow_forward
- In Exercises 25 and 26, complete each proof. Use the figure shown below. Given: ABCD and ADCB Prove: ABCCDA PROOF Statements Reasons 1. ABCD and ADCB 1. ? 2. ? 2. Identify 3. ABCCDA 3. ?arrow_forwardIn Exercises 25 to 27 , see the figure for exercise 24. Given: m1=x, m2=y, m3=3x Prove: x and yarrow_forwardIn Exercise 17 and 18 , complete each proof by filling in the missing statements and reasons. Given: 1 and 2 are complementary 3 and 1 are complementary Prove: BCDEarrow_forward
- In Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: BD bisects ABC Prove: mABD=12(mABC) Exercises 29, 30 PROOF Statements Reasons 1. BD bisects ABC 1. ? 2. mABD=mDBC 2. ? 3. mABD+mDBC=mABC 3. ? 4. mABD+mABD=mABC 4. ? 5. 2(mABD)=mABC 5. ? 6. mABD=12(mABC) 6. ?arrow_forwardIn exercises 20 to 22, complete the missing statements/ reasons for each proof. Given: MNPQ on MQ Prove: MN+NP+PQ=MQ PROOF Statements Reasons 1. MNPQ on MQ 1. ______________________ 2. MN+NQ=MQ 2. ______________________ 3. NP+PQ=NQ 3. ______________________ 4. MN+NP+PQ=MQ 4. ______________________arrow_forwardIn Exercises 21 and 22, complete each proof. Given: RSTQ Prove: RTSQ PROOF Statements Reasons 1. RSTQ 1. ? 2. ST. 2. ? 3. ?. 3. If two s are , the s are = in measure. 4. mS=12mTR. 4. ? 5. mT=12(mSQ) 5. ? 6. 12(mRT)=12(mSQ) 6. ? 7. mRT=mSQ 7. Multiplication Property of Equality. 8. ? 8. If two arcs of a are = in measure the arcs are .arrow_forward
- In Exercise 1 to 10, classify each statement as true or false. Because mA=mABC, it follows that DA=DC.arrow_forwardState whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. Complementary angles are congruent.arrow_forwardIn Exercises 17 to 24, complete each proof. Given: RSUV Prove: RTVT=RSVU PROOF Statements Reasons 1. ? 2. RV and SU 3. ? 4. ? 1. ? 2. ? 3. AA 4. ?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning