1 All angles are congruent 2 All sides are congruent 3 The d

AVERY ear Co FOR FREQUENT USE F DUR Resis HIGH QUALITY Textured Material DURAEDGE. Resists Splitting SLANT RING Holds More Paper Than Rouncd SSLE GUARANTEE 2 PLAC PVCFree

Solution

We will analyse each statement and will try to find all the figures which suit the statement.

But before that let us identify the shapes and their properties vis a vis the 5 statements mentioned.

In summary we can say,

1. All angles are congruent. (shapes C,I,L,M)

2. All sides are congruent (C,H,K)

3. The diagonals are congruent. (C,G,K)

4. The diagonals bisect each other(B,C,H,I,K,L,M)

5. The diagonals are perpendicular to each other (E,F,H)

Shape letter	Shape form	Properties valid from five statements
A	unequal quadilateral	None
B	Parallelegram	4. The diagonals bisect each other.
C	Square	1. All angles are congruent. 2. All sides are congruent. 3. The diagonals are congruent. 4. The diagonals bisect each other.
D	Trapizium without equal sides	None
E	Kite	5. The diagonals are perpendicular.
F	Kite	5. The diagonals are perpendicular.
G	Trapizium with two equal sides	3.The diagonals are congurent
H	Rhombus	2. All sides are congruent. 4. The diagonals bisect each other. 5. The diagonals are perpendicular.
I	Rectangle	1. All angles are congruent. 4. The diagonals bisect each other.
J	Trapizum without equal sides	None
K	Square	1. All angles are congruent. 2. All sides are congruent. 3. The diagonals are congruent. 4. The diagonals bisect each other.
L	Rectangle	1. All angles are congruent. 4. The diagonals bisect each other.
M	Rectangle	1. All angles are congruent. 4. The diagonals bisect each other.