We are required to show that the pair of polygons is similar. We can do this by showing that the ratio of corresponding sides is equal and by showing that corresponding angles are equal.
We are given the angles. So, we can show that corresponding angles are equal.
All angles are given to be 90
and
We first need to see which sides correspond. The rectangles have two equal long sides and two equal short sides. We need to compare the ratio of the long side lengths of the two different rectangles as well as the ratio of the short side lenghts.
Long sides, large rectangle values over small rectangle values:
Short sides, large rectangle values over small rectangle values:
The ratios of the corresponding sides are equal, 2 in this case.
Since corresponding angles are equal and the ratios of the corresponding sides are equal the polygons ABCD and EFGH are similar.
If two pentagons ABCDE and GHJKL are similar, determine the lengths of the sides and angles labelled with letters:
We are given that ABCDE and GHJKL are similar. This means that:
and
We are required to determine the
,
,
and
, and
,
and
.
The corresponding angles are equal, so no calculation is needed. We are given one pair of sides
and
that correspond.
so we know that all sides of
are 1,5 times smaller than
.
Working in pairs, show that all equilateral triangles are similar.
Polygons-mixed
Find the values of the unknowns in each case. Give reasons.
Find the angles and lengths marked with letters in the following figures:
Investigation: defining polygons
Investigate the different ways of defining polygons. Polygons that you should pay special attention to are:
Isoceles, equilateral and right-angled triangle
Kites, parallelograms, rectangles, rhombuses (or 'rhombi'), squares and trapeziums
Things to consider are how these figures have been defined in this book and what alternative definitions exist. For example, a triangle is a three-sided polygon or a figure having three sides and three angles. Triangles can be classified using either their sides or their angles. Could you also classify quadrilaterals in this way? What other names exist for these figures? For example, quadrilaterals can also be called tetragons.
Questions & Answers
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our perception of flavor.
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
