Two polygons are similar if their corresponding angles are congruent and the lengths of corresponding sides are proportional. This means the ratio of corresponding sides is the same. Similar polygons can be labeled by writing one polygon name ~ the other, listing corresponding vertices in the same order. The ratio of the lengths of two corresponding sides when two polygons are similar is called the scale factor. An example shows quadrangle WARD is similar to quadrangle W'A'R'D' with a scale factor of 2:3, and uses the scale factor to find missing side lengths, perimeters, and the ratio of perimeters of the two quadrilaterals.
Properties of parallelogram applies to rectangles, rhombi and squares.
In a parallelogram,
Opposite sides of a parallelogram are parallel.
A diagonal of a parallelogram divides it into two congruent triangles.
Opposite sides of a parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
If one angle of a parallelogram is right, then all the angles are right.
Consecutive angles of a parallelogram are supplementary.
Diagonals of a parallelogram bisect each other.
https://www.youtube.com/channel/UCOuMfD4sggCh7XeiAHlus6Q
Properties of parallelogram applies to rectangles, rhombi and squares.
In a parallelogram,
Opposite sides of a parallelogram are parallel.
A diagonal of a parallelogram divides it into two congruent triangles.
Opposite sides of a parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
If one angle of a parallelogram is right, then all the angles are right.
Consecutive angles of a parallelogram are supplementary.
Diagonals of a parallelogram bisect each other.
https://www.youtube.com/channel/UCOuMfD4sggCh7XeiAHlus6Q
5.1 Introduction 5.2 Ratio And Proportionality 5.3 Similar Polygons 5.4 Basic Proportionality Theorem 5.5 Angle Bisector Theorem 5.6 Similar Triangles 5.7 Properties Of Similar Triangles
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How to Make a Field invisible in Odoo 17Celine George
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Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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The French Revolution Class 9 Study Material pdf free download
7-3 similar polygons
1. 7-3 Similar Polygons
(7-2 in the Pearson Textbook)
Chapter 7 Ratio, Proportion and
Similarity
Objective: I can state and apply the properties
similar polygons.
2. Two polygons are similar (~) if their
vertices can be paired so that:
1. corresponding angles are
congruent.
2. Corresponding sides are in
proportion. (Their lengths have the
same ratio.)
3. How to write a similarity.
C
H
A
LK
D
R
I
V
E
When you refer to similar polygons, their corresponding vertices
must be listed in the same order. If the two polygons above are
similar, then you write
polygon CHALK ~ polygon DRIVE
4. Given: polygon CHALK ~ polygon DRIVE
From the definition of similar polygons, we
have:
∠𝐶 ≅ ∠𝐷; ∠𝐻 ≅ ∠𝑅; ∠𝐴 ≅ ∠𝐼; ∠𝐿 ≅ ∠𝑉; ∠𝐾 ≅ ∠𝐸
𝐶𝐻
𝐷𝑅
=
𝐻𝐴
𝑅𝐼
=
𝐴𝐿
𝐼𝑉
=
𝐿𝐾
𝑉𝐸
=
𝐾𝐶
𝐸𝐷
C
H
A
LK
D
R
I
V
E
5. Another way used to label similar
polygons is shown below:
C
H
A
LK
C’
H’
A’
L’
K’
polygon CHALK ~ polygon C’H’A’L’K’
Read polygon C-H-A-L-K
is similar to
polygon C prime-H prime-A prime-L prime-K prime
6. If two polygons are similar, then the ratio of the
lengths of two corresponding sides is called the
scale factor.
W
W’
A A’
R R’
D
D’
8 30
10
20
36x
y
z
Quad. WARD ~ Quad. W’A’R’D’. Find:
1. their scale factor 1. ______________
2. the values of x, y, and z 2. ______________
3. the perimeters of the two quadrilaterals 3. ______________
4. the ratio of the perimeters. 4. ______________
