Concept explainers
If the kite in exercise
5. In the following kite, congruent segments are shown with tick marks.
a. Argue that the diagonal
b. Let
c. Why is
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
- Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?arrow_forwardRefer to the drill jig shown. Determine 1.arrow_forwardA wheel has equally spaced lug bolts. What is the measure of the central angle determined by two consecutive lug bolts if there are a 5 bolts? b 6 bolts?arrow_forward
- a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.arrow_forwardWhich lines, line segments, or rays are used to construct: a The incircle of a triangle? b The circumcircle of a triangle?arrow_forwardFind the size of A to the nearest second?arrow_forward
- Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is 0: a. What is the value of side y? b. How does side x compare to side r?arrow_forwardRSTV is a kite, with RSST and RVVT. If mSTV=40, how large is the angle formed a by the bisectors of RST and STV? b by the bisectors of SRV and RST?arrow_forwardA tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?arrow_forward
- Draw a triangle and, by construction, find its incenter.arrow_forwarda What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?arrow_forwardUse your compass and straightedge to bisect EF.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University