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
I'm interested in biological psychology and cognitive psychology
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
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miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills