Question bank: Right and Non-Right Angles

In our lives, we encounter many different shapes and figures. Some of these figures have corners that meet, forming what we call angles. Angles can be of different sizes and types, such as the right angle, which is a little corner of 90 degrees, and the non-right angle, which can be smaller or larger than 90 degrees. For example, when we look at a clock, between the number 3 and the number 6, we have a right angle. Can you think of other situations in your daily life where you see right or non-right angles? Now, look around you and find a flat figure, like a drawing on the floor or in a book, and tell me how many right angles and how many non-right angles this figure has. Also, describe how you identified each type of angle.

In our classroom, we have several types of tables. Some tables have a shape that looks like a box and at each corner of these tables, we find an angle, which is the place where two lines or straight parts meet. When the corner of the table forms an L just like the corner of a paper, we call this angle a right angle. But some tables have corners that are not like the corner of a paper, meaning these corners are not right angles. If we have a table with 3 right angles, how many corners that are not right angles does this table have?

In the Science class, you learned about plants and drew a wooden planter to make your garden project. The planter has a shape similar to a rectangle and also to a square, and it has some edges where you will plant the flowers. To know how many little plants fit in each part of the planter, it is important to understand that where two wooden edges meet, they form an angle. Some of these angles are called right angles because they look like a lying 'L', and others are not right angles, meaning they do not look like an 'L'. By counting the right angles and non-right angles of the planter, you found out that there are 8 right angles and 4 non-right angles. With this information, you can determine what type of plant to put in each space of your planter. Now, tell the teacher how many spaces of the planter you have to plant flowers and describe how you found this out.

In a Math class, students were challenged to identify right and non-right angles in different figures. João has a drawing of a garden where the paths form various types of angles in relation to the flower beds. He knows that a right angle is formed by two perpendicular lines, and that a non-right angle can be acute (smaller than a right angle) or obtuse (larger than a right angle, but smaller than 180 degrees). João wants to know how many right and non-right angles (acute and obtuse) exist in the drawing of the garden. Given that the garden is completely composed of paths that intersect at flower beds, and that he has already identified a perfect square with 4 right angles, help João determine the total number of right and non-right angles in the garden drawing.

Imagine you are a detective and you are investigating a very mysterious crime scene. On the ground, you find a magnetic drawing that looks like an L shape. This shape has straight parts and non-straight parts. Your mission is to find out how many right angles (like the corners of a paper) and how many non-right angles you can find in this drawing. Remember that a right angle looks like an 'L' and a non-right angle is more open or closed than an 'L'. After analyzing carefully, write in your notebook how many right angles and how many non-right angles you found and explain how you did it.