Download I»IM Identify Special Quadrilaterals

Geometry Lesson 8-6: Identify Special Quadrilaterals
Learning Target: By the end of today’s lesson we will be able to successfully identify special quadrilaterals.
Example 1: Quadrilateral ABCD has both pairs of opposite sides congruent.
What types of quadrilaterals meet this condition?
There are many possibilities …
________________
________________
_______________
Opposite sides are congruent.
______________
All sides are congruent.
Example 2: Quadrilateral JKLM has both pairs of opposite angles congruent.
What types of quadrilaterals meet this condition?
Example 3: Relying only on the marked information, give the most specific name for each quadrilateral.
a.)
b.)
Example 4: Is enough information given in the diagram to show that quadrilateral FGHJ is an isosceles
trapezoid? Explain.
Step 1: Show that FGHJ is a _______________. G and H are ______
but F and G are not. So, _______ || _______, but FJ is not _______ to
GH. By definition, FGHJ is a ________________.
Step 2: Show that trapezoid FGHJ is ________________. F and G are a pair of congruent ____________.
So, FGHJ is an _________________________________by Theorem 8.15.
Example 5: Is enough information given in the diagram to show that quadrilateral BCDE is a rectangle?
Explain.