This document contains instructions and examples for identifying properties of triangles based on side lengths and angle measures. It begins by asking the student to draw a triangle with given side lengths and measure its angles. Several practice problems then ask the student to name the largest and smallest angles of triangles where the side lengths are given. Another set of problems has the student arrange the sides of triangles in order of increasing length. The document concludes by asking the student to identify relationships between side lengths and angle measures using inequality symbols.

1. Elton John B. Embodo

2. Name the largest angle and the
smallest angle given the sides in a
triangle;
Arrange the sides of the given
triangle in the order of increasing
lengths;
Give the disadvantages of
inequality in the society.

3. 1. Use a ruler to draw a triangle name .
2. Make sure that is vertical which measures
15cm, is horizontal which measures 20cm
and is diagonal which measures 25cm.
3. Use a protractor to measure the angles ,
, and .
4. Indicate the measures of the sides and the
measures of the angles on the .
5. Observe the triangle keenly base on the
measures of its sides and their opposite angles.
OPQ
OP
PQ
OQ
O P
Q
OPQ

4. O
P Q
0
53
0
37
0
90
15cm
25cm
20cm

5. If two sides of a triangle are not congruent,
then the angles opposite these two sides
are not congruent, and the larger angle is
opposite the longer side.
If two angles of a triangle are not congruent,
then the sides opposite these angles are not
congruent and the longer side is opposite
the larger angle.

6. Directions: Name the largest and the smallest angle
of the following given triangles.
1. In , , , and .
2. In , , , and .
3. In , , , and .
4. In , , , and .
5. In , , , and .
ABC 12AB  16AC  9BC 
DEF 40DE  35DF  55FE 
GHI 32GI  50GH  35HI 
JKL 28JK  40KL  20JL 
MNO 22MN  38MO  50NO 

7. Directions: Arrange the sides of the following
triangles in the order of increasing length
1. 2.
3.
E
R D
0
45
0
50
0
85
Z
X Y0
33 0
115
0
35
D
L
S
0
60
0
45
0
75

8. Directions: Fill the blanks with the correct
relation symbol (>, <) to show the relationship:
1.) between segment, 2.) between angles in the
corresponding figures.
InS
O N
25
45
56
1.) ___
2.) ____
3.) ____
4.) ____
5.) ____
m S m O
m S m N
m O m O
m N m O
m O m S
 
 
 
 
 
SON