9.34 Chapter 9
From Class Activity 9.1, we can see that when all corresponding sides of
two quadrilaterals are equal (SSSS) or all their corresponding angles are
equal (AAAA), the two quadrilaterals are not necessarily congruent. The conditions for
quadrilaterals to be congruent
will be discussed in the
Enrichment Topic in Book 3B.
◀
1. The figure shows square ABCD and rhombus EFGH, whose sides are all equal to 2 cm.
A D
B C2 cm
F H
E
G
2 cm
(a) What type(s) of angles are the interior angles of square ABCD ?
(You may choose more than one answer.)
Acute angle��� Right angle��� Obtuse angle
(b) What type(s) of angles are the interior angles of rhombus EFGH ?
(You may choose more than one answer.)
Acute angle��� Right angle��� Obtuse angle
(c) Are square ABCD and rhombus EFGH congruent?
Yes������ No
2. The figure shows rectangles PQRS and WXYZ. Their interior angles are all right angles.
P S
Q R
PQ QR RS PS
Length (cm)
Table A
W Z
X Y
WX XY YZ WZ
Length (cm)
Table B
(a) Measure all the sides of the two rectangles, and complete Table A and Table B.
(b) Are rectangles PQRS and WXYZ congruent?
Yes������ No
ActivityActivity
Class 9.1