Therefore,the measureof segment is 7 inches.We leavethe proofof this theoremas an exercise,
but it is similarto the proofthat the lengthof the trianglemidsegmentis half the lengthof the baseof the
triangle.
LessonSummary
In this lesson,we exploredtrapezoids.Specifically, we havelearnedto:
- Understandand provethat the baseanglesof isoscelestrapezoidsare congruent.
- Understandthat if baseanglesin a trapezoidare congruent,it is an isoscelestrapezoid.
- Understandthat the diagonalsin an isoscelestrapezoidare congruent.
- Understandthat if the diagonalsin a trapezoidare congruent,the trapezoidis isosceles.
- Identifythe propertiesof the medianof a trapezoid.
It is helpfulto be able to identifyspecificpropertiesin trapezoids.You will be able to use this informationin
manydifferentways.
LessonExercises
Use the followingfigurefor exercises1-2.
1.
2.
Use the followingfigurefor exercises3-5.