Concept explainers
In Exercises 27 to 30, provide a paragraph proof.
Given:
Secant
Secant
Common internal tangent
Prove:
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Elementary Geometry For College Students, 7e
- In Exercises 15 to 20, use that fact that r2+h2=l2 in a right circular cone Theorem 9.3.6. Find the length of the radius r of a right circular cone in which h=6 yd and l=8 yd.arrow_forwardIn Exercises 25 to 28, ABCDBE Exercises 25-28 Given: AC = 10, CB = 12. E is the midpoint of CB Find: DEarrow_forwardIn Exercises 15 to 20, use that fact that r2+h2=l2 in a right circular cone Theorem 9.3.6. Find the length of the slant height l of a right circular cone with r=5.2 ft and h=3.9 ft.arrow_forward
- Prove by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XYarrow_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 exercises 27 to 33, complete a formal proof. Given:EF is the median of trapezoid ABCD. Prove: EF=12(AB+DC). HINT: Using theorem 4.4.7, show that M is the midpoint of AC. For ADCandCBAapply theorem 4.2.5arrow_forward
- Review Exercises In Review Exercises 22 to 24, M and N are the midpoints of FJ- and FH- respectively. Given: JH=12 mJ=80 mF=60 Prove: MN,mFMN,mFNMarrow_forwardIn Review Exercises 15 to 22, state whether the statements are always true A, sometimes true S, or never true N. Tangents to a circle at the endpoints of a diameter are parallel.arrow_forwardFor Exercises 39 to 44, make drawings as needed. Two tangent segments are drawn to sphere Q from external point E. Where A and B are the points of tangency on sphere Q, how are EA- and EB- related?arrow_forward
- Does 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 Review Exercises 15 to 17, sketch and label the figures described. Points A, B, C and D are coplanar. A, B, and C are the only three of these points that are collinear.arrow_forwardIn Review Exercises 15 to 17, sketch and label the figures described. Line l intersects plane X at point P.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