This document discusses similarity and congruence of plane figures. It defines similar figures as those where corresponding angles are equal and corresponding side ratios are equal. Examples of similar figures include rectangles where the ratio of length to width is equal. The document provides examples of similar and congruent triangles and quadrilaterals. It also lists key terms and learning objectives related to identifying similar and congruent plane figures based on corresponding side lengths and angles.

2. A. Standard Competency:
Understanding similarity in plane figures and using it in
problem solving
B. Basic Competency
To identify similarity and congruency plane figures
C. Learning Objectives
Students will be able to:
- Requirements for two similar triangles
- Determine the ratio of the corresponding sides of two
triangles and find the side’s lengths
-Determine requirements for two congruent triangles

3. Before learn about this topic,
you must remember about :
The properties of :
- Quadrilateral
( Rectangle, rombus, square, kite, parallelogram)
- Triangular

4. SIMILARITIES AND CONGRUENCES
Keywords / keyterms: - Corresponding
- Simlarity, similar - Property/ properties
- Photograph - Ratio
- Plane shape similarity - Quadrilateral
- Congruence - Rectangle
- Plane shape congruence - Triangle
- Triangular similarity - Triangular
- Triangular congruence - Rectangular

5. 1. The Similarity of Plane Shapes
1.1 Students are introduced to the concept similarity
- Learn about similar figures
- Learn about characteristics of similarity of figures

6. Look at the following shapes. Are
they the same or different ?

7. Properties of two similar
figures
Two figures are similar if the corresponding angles
have the same measure and the ratios of the lengths of
corresponding sides are equal
Example : Rectangles ABCD ( 5x3) cm and EFGH (7,5
x4,5)cm 4,5
N M
Are similar
D C
3 7,5
A 5 B
K L

8. Observe some figures below
10
6
3
5
4 6 10
3
5
3 10 8
5
6

9. Which ones are similar among the following
shapes ?

10. Based on the following measurement of rectangles, find the ratio
between length and width of each rectangles. Determine which
ones that the similar rectangles....
Rectangles length width Ratio
ABCD 16 Cm 12 Cm ...........
PQRS 20 Cm 15 Cm ...........
KLMN 8 Cm 6 Cm ...........
NOPQ 6 Cm 3 Cm ............
WXYZ 12 Cm 10 Cm ............
BCDE ……….. ……….
QRST ……….. ………..
LMNO ……….. ………….
GHIJ ………… ………….
RSTU ………… …………….
MNOP …………… …………….

11. That’s all for this time……
Please discuss with your friends. If you find a problem
discuss with your teacher…..
Don’t get bored practicing……
Where there is will there is a way…….
Good Luck…….
be happy……