The document outlines a drill on triangle congruence focusing on the SAS (side-angle-side) congruence postulate. It includes instructions for drawing triangles, defining included angles and sides, and provides applications to test understanding of congruence. An assessment task is also mentioned, challenging students to illustrate the SAS postulate through sketches.

1. TRIANGLE
CONGRUENCE

2. DRILL:
2
1.
2.
3.
4.
24
-43
-45
-3

3. When can we say
that two triangles
are congruent?

4. PAIR AND
CREATE!
4
Prepare a ruler, a pencil, a bond paper,
and a protractor.
Pair with your seat mate.
(Each pair will create two triangles.)

5. 1. Draw a 7-inch vertical line segment and name it .
2. Make an angle equal to using your protractor.
3. Draw another 5-inch line segment from and name
it .
4. Using your ruler, draw a line connecting the points
and .
5. Cut out one of the two triangles you have created
and put it on the other triangle.
5

6. Did the two
triangles you
have created with
your seatmate
coincide with one
another?

7. SAS
Congruence
Postulate
7
Prepared by: Felisilda, Kristine Anne

8. Definition of Included
Angle and Included Side
Included angle – is the angle
between two sides of a
triangle.
Included side – is the side
common to two angles of a
triangle.

9. SAS (Side-Angle-Side)
Congruence Postulate
If two sides and an included
angle of one triangle are
congruent to the corresponding
two sides and the included
angle of another triangle, then
the triangles are congruent.

10. Consider the figure below.
10
If , , , then by SAS Congruence Postulate.

11. LET’S APPLY THE
LEARNED
CONCEPT!

12. 12
APPLICATION NO. 1
Consider the figure below, does it illustrate SAS
Congruence Postulate?
Note that , , and .
Hence,
by SAS Congruence
Postulate
.

13. 13
APPLICATION NO. 2
Using the SAS Congruence Postulate,
is ?
Notice that
, , and . Therefore, by
SAS Congruence
Postulate,
.

14. 14
APPLICATION NO. 3
Is ?
Observe that and . However,
note that only is an included
angle. In , is not an included
angle between and .
Therefore, the figures above do
not satisfy the conditions of
SAS Congruence Postulate in
proving triangle congruence.

15. Prepare a ¼ sheet
of paper for the
ASSESSMENT.

16. 16
ASSESSMENT!
Direction: Illustrate SAS congruence postulate by
sketching the two triangles as described by its parts.

17. THANK YOU!
THANK YOU!
THANK YOU!
THANK YOU!
THANK YOU!