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2D shapes from lengths, angles
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FULL TUTORIAL
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2D shapes from lengths, angles
      
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Elementary math lessons to learn
'2D shapes from lengths, angles' for 5th grade

Identify 2D shapes from information on sides and angles

Many regular 2D shapes can be characterized in terms of the length and number of sides plus information on the angles of their vertices.

For instance, say we have a shape that has 4 equal length sides and 4 equal angles of 90 degrees. Given that it has 4 angles of 90° it must be a regular quadrilateral. Knowing that it has 4 equal length sides we can deduce that it is a square.

If you have a shape with 3 sides of unequal length and 3 angles that add up to 180 degrees, you know immediately that it has to be a triangle (internal angles of triangles add up to 180°). The fact that the sides are of unequal length means it cannot be an equilateral triangle (which has equal length sides) or an isosceles triangle (which has 2 sides the same length) so we know it must be a scalene triangle.

In this topic you are given as question a description of a shape in terms of it's sides and angles. You have to decide which shape that description applies to. The shapes that are covered include square, rectangle, different types of triangle, rhombus, parallelogram, kite, pentagon, hexagon, etc.

With these interactive math lessons you will be learning "2D shapes from lengths, angles" from
5th grade / Shapes in 3 easy steps. The math in our lessons consists of 12 questions that ask you to for each set of lengths and angles identify the correct 2D shape that is described.

Show lesson introduction
1 / 12
The shape with 4 equal length sides and 4 equal angles of 90° is a square
4 equal length sides
4 equal angles of 90°
a square
2 / 12
The shape with 2 pairs of equal length sides and 4 equal angles of 90° is a rectangle
2 pairs of equal length sides
4 equal angles of 90°
a rectangle
3 / 12
The shape with 3 equal length sides and 3 equal angles is an equilateral triangle
3 equal length sides
3 equal angles
an equilateral triangle
4 / 12
The shape with 3 unequal length sides and 1 right angle is a right angle triangle
3 unequal length sides
1 right angle
a right angle triangle
5 / 12
The shape with 3 sides with 2 of equal length and 2 equal angles is an isosceles triangle
3 sides with 2 of equal length
2 equal angles
an isosceles triangle
6 / 12
The shape with 3 sides of different lengths and 3 different angles is a scalene triangle
3 sides of different lengths
3 different angles
a scalene triangle
7 / 12
The shape with 4 equal length sides and 2 pairs of equal angles (not 90°) is a rhombus
4 equal length sides
2 pairs of equal angles (not 90°)
a rhombus
8 / 12
The shape with 2 pairs of equal length sides and 2 pairs of equal angles (not 90°) is a parallelogram
2 pairs of equal length sides
2 pairs of equal angles (not 90°)
a parallelogram
9 / 12
The shape with 4 sides of different lengths and 1 pair of parallel sides is a trapezoid
4 sides of different lengths
1 pair of parallel sides
a trapezoid
10 / 12
The shape with 2 pairs of equal length sides and 1 pair of equal angles is a kite
2 pairs of equal length sides
1 pair of equal angles
a kite
11 / 12
The shape with 5 equal length sides and 5 equal angles is a regular pentagon
5 equal length sides
5 equal angles
a regular pentagon
12 / 12
The shape with 6 equal length sides and 6 equal angles is a regular hexagon
6 equal length sides
6 equal angles
a regular hexagon

There are 3 easy math lesson activities in this "2D shapes from lengths, angles" tutorial. These activities progress step by step to help you the learner gradually master this math topic. The activities are based on "3 stage questioning", a method of learning that quickly and easily builds your confidence as you work through the short series of lessons that strengthen your knowledge of the math that you want to learn.

When you have completed the tutorial for a topic, you should try some of our games before finally doing the test for your chosen topic. See the Help box below for detailed instructions on how to use the lesson activities to help you learn your math more easily.

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How to use our tutorials to learn
'2D shapes from lengths, angles' for 5th grade

Introduction to the math topic

You start the tutorial with a lesson that introduces the math you will be learning. You will see a set of questions one at a time, and for each question you will see the written answer and also hear the answer to that question.

Repeat the question/answer by clicking on the brown speaker sign. Repeat the question/answer and expand the question graphic by clicking on the question box. Move between questions using the arrow buttons below the question. If there is additional information available for your chosen topic, the "i" button on the left upright bar will be brown on white. Click on the button to load the additional lesson information into the main interface.


Either / Or math lesson

This lesson moves on from the "Introduction" lesson and offers you two possible answers to each question. So, you will see a question then a voice will ask "Is this ... or is it ..." and you will have to choose which of the answers is the one that matches the question.

You choose an answer by clicking or tapping on one of the two answer boxes below the question. You can play the audio for each answer again by clicking on the speaker icon beside the written answer (if robot speech is available and enabled). The program will let you know each time whether you answered correctly. A star will light up red for a wrong answer or white/black for a correct answer.

This lesson asks you the questions in a random order compared to the introduction. At the end of the lesson, you can choose whether to repeat the lesson or move on to the next one.


What is it? math lesson

The final lesson of the tutorial shows you multiple possible answers for each question - you must choose the correct one. You are asked a question and below it are a list of two, three, or four possible written/numeric answers from this topic. Pressing the speaker icon will play the math audio for that answer.

For each picture, click on the answer that matches the question. The program will tell you whether you are right or not. As with the Either / Or activity a system of stars indicate your right and wrong answers. The What is it? lesson will show you all the questions you learned in the Introduction but in a random order.


When you complete the "What is it?" lesson, you can choose whether to go on to play some games with this topic, or whether you want to repeat some or all of the lesson activities in this tutorial. You should expect to get 80% of the answers correct in most of the activities before trying some of the Math games with this topic.

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