Congruence and Similarity (II) 9.45
From Class Activity 9.2, we can see that when all the corresponding
angles of two quadrilaterals are equal (AAAA) or all their corresponding
sides are proportional, the two quadrilaterals are not necessarily similar.
1. The figure shows rectangles ABCD and EFGH, whose interior angles are all right angles.
A D
B C
AB BC CD AD
Length (cm)
Table A
E H
F G
EF FG GH EH
Length (cm)
Table B
(a) Measure each side of the two rectangles, and complete Table A and Table B.
(b) Complete the following.
EF
AB = �� FG
BC = �� GH
CD = �� EH
AD =
(c) Are rectangles ABCD and EFGH similar?
Yes������� No
2. The following figure shows square PQRS of side 3 cm and rhombus WXYZ of side 4 cm.
3 cmP S
Q R 4 cm
Y
W
X Z
(a) Complete the following.
WX
PQ = �� XY
QR = �� YZ
RS = �� WZ
PS =
(b) What type(s) of angles are the interior angles of square PQRS ?
(You may choose more than one answer.)
Acute angle���� Right angle���� Obtuse angle
(c) What type(s) of angles are the interior angles of rhombus WXYZ ?
(You may choose more than one answer.)
Acute angle���� Right angle���� Obtuse angle
(d) Are square PQRS and rhombus WXYZ similar?
Yes������ � No
ActivityActivity
Class 9.2