GEOMETRY: Chapter 6
6.6: Identify Special Quadrilaterals
Quadrilaterals: Reviewing and Classifying
Image taken from: http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i15/s4eg1.gif
Ex.1:
STUV has at least one pair of consecutive
sides congruent. What types of
quadrilaterals meet this condition.
Ex.1:
STUV has at least one pair of consecutive
sides congruent. What types of
quadrilaterals meet this condition.
ANSWERS: rhombus, square, kite
Ex. 2:
What is the most specific name for this
quadrilateral?
A) Parallelogram
B) Rhombus
C) Rectangle
D) Square
Image taken from:http://www.bbc.co.uk/schools/ks3bitesize/maths/shape_and_space/images/shape_1.gif
Ex. 2:
What is the most specific name for this
quadrilateral?
A) Parallelogram
B) Rhombus
C) Rectangle
D) Square
Answer: C) Rectangle b/c the diagonals are congruent
Image taken from:http://www.bbc.co.uk/schools/ks3bitesize/maths/shape_and_space/images/shape_1.gif
Ex. 3:
Is enough information given
to show that the
quadrilateral is a square?
One of the sides is 4cm.
Explain.
Ex. 3:
Is enough information given
to show that the
quadrilateral is a square?
One of the sides is 4cm.
Explain.
Answer: yes, perpendicular
diagonals means it is a
rhombus, so all the sides
have 4cm. Also, since it
is a rhombus with one 90
degree angle, then it also
is a rectangle. Thus, it is
a square.
6.6, p. 367 #