In Review Exercises 27 to 29, give a proof for each statement.
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Elementary Geometry for College Students
- In Exercise 1 to 10, classify each statement as true or false. DFDE+EF.arrow_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_forwardIn Review Exercises 4 to 6, name the type of reasoning illustrated. While watching the pitcher warm up, Phillip thinks, Ill be able to hit against him.arrow_forward
- For Exercises 1 to 10, use the accompanying drawing. If mT=mU=x, and mV as an expression containing variables xarrow_forwardIn Exercises 19 to 22, classify each statement as true or false. In Exercises 19 to 20, recall that the symbol means is a subset of. Where Q=quadrilaterals and P=polygons, QP.arrow_forwardIn Exercises 25 to 27 , see the figure for exercise 24. Given: m1=x, m2=y, m3=3x Prove: x and yarrow_forward
- In Exercises 25 to 27 , see the figure for exercise 24. Given: m1=x, m2=x2 Find: xarrow_forwardFor Review Exercises 13 to 18, name the type of reasoning intuition, induction, deduction used. While waiting to bat in a baseball game, Phillip thinks, Ill be able to hit against that pitcher.arrow_forwardIn Exercises 30 and 31, complete each proof. Given: Diameters AB and CD in E Prove: ACDB PROOF Statements Reasons 1. ? 1. Given 2. AECDEB 2. ? 3. mAEC=mDEB 3. ? 4. mAEC=mAC and mDEB=mDB 4. ? 5. mAC=mDB 5. ? 6. ? 6. If two arcs of a circle have the same measure, they arearrow_forward
- In Exercises 17 to 24, complete each proof. Given: HJJF,HGFG See figure for Exercise 19. Prove: HJKFGK Exercises 19, 20 PROOF Statements Reasons 1. ? 1. Given 2. sG and J are right s 2. ? 3. GJ 3. ? 4. HKJGKF 4. ? 5. ? 5. ?arrow_forwardDoes it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?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_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