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.
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:
The corresponding angles are equal, so no calculation is needed. We are given one pair of sides
$DC$ and
$KJ$ that correspond.
$\frac{DC}{KJ}=\frac{4,5}{3}=1,5$ so we know that all sides of
$KJHGL$ are 1,5 times smaller than
$ABCDE$ .
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
I only see partial conversation and what's the question here!
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?