All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 14 Geometry will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 14 Geometry
Essential Question
How are different ideas about geometry connected?
Answer: Geometry is the study of mathematics that relates to dimensions, figures, and shapes in addition to properties of space. The many geometrical instruments, such as the protractor, ruler, and compass, are typically used in our day to day regular classwork as well as for future tasks like construction, creating drawings, mapping, etc.
Geometry allows you to determine how shapes and figures fit together to maximize efficiency and visual appeal. Everything has a geometric shape, from everyday products like a TV, TV remote, mobile phone, laptop, bed sheets, and sofas to things like a board game’s dice, carpets, vases, and paintings. All these objects have boundary lines, angles, and lines that are either in 2D or 3D geometrical shapes. Circles, squares, rectangles, and other 2D shapes are either flat or closed, and 3D shapes like cubes, cuboid, cones, and spheres are common in everyday life.
Am I Ready
Question 1.
Draw three triangles that look different.
Answer:Â 
Each colored triangle represent different type of triangle. I changed the size and dimensions of the sides of each triangle to look different from each other.
Circle the figure described.
Question 2.
rectangle
Answer:
A rectangle is a geometric figure with four sides, whose opposite sides are equal in length and are parallel to each other. It is a four-sided figure that has four angles, equal to 90 degrees each. A rectangle is a two-dimensional shape. Observe the above figure for rectangle.
Question 3.
square
Answer:
A square is a geometric figure with four sides, where all the four sides are of equal length and whose opposite sides parallel to each other. It is a four-sided figure that has four angles, equal to 90 degrees each. A square is a two-dimensional shape. Observe the above figure for square.
Question 4.
rhombus
Answer:
A Rhombus is like a square in that the sides are all the equal length. The opposite inside angles are equal. The opposite sides are parallel. Observe the above figure for rhombus.
Question 5.
quadrilateral
Answer:
A quadrilateral is a geometrical shape and a type of polygon that has four sides, four vertices and four angles. To remember easily, the word ‘quadri’ means 4. The examples of quadrilateral are rectangle, square, rhombus etc. So, in the above figured circles rectangular figure.
How Did I Do?
Shade the boxes to show the problems you answered correctly.
Answer:
All the above 5 questions are answered correctly.
My Math Words
Review Vocabulary
rectangle
square
triangle
Making Connections
Match the review vocabulary with each example below. Then describe each shape.
Answer:
1. Chess board represents the shape of a square. Also, in chess board, small squares are presented inside overall large chess board. A square is a geometric figure with four sides, where all the four sides are of equal length and whose opposite sides parallel to each other. It is a four-sided figure that has four angles, equal to 90 degrees each.
2. When you cut a triangle through one of its diagonal, It represents the shape of a triangle. A triangle is a geometric figure with three sides, three vertices and three angles.
3. A Refrigerator is an example of a rectangular shape. A rectangle is a geometric figure with four sides, whose opposite sides are equal in length and are parallel to each other. It is a four-sided figure that has four angles, equal to 90 degrees each.
My Vocabulary Cards
Ideas for Use
- Draw or write examples for each card. Be sure your examples are different from what is shown on each card.
- Develop categories for the words. Sort them by category. Ask another student to guess each category.
A triangle that has three acute angles.
Does a triangle contain line segments? Explain.
Answer: A triangle is composed of three line segments. The line segments intersect in their endpoints. These line segments are known as sides of a triangle. We often called the name of the endpoints as vertices in a triangle.
An angle with a measure that is greater than 0° and less than 90°.
Write a tip about the difference between an acute angle and an obtuse angle.
Answer: An angle with a measure that is greater than 0° and less than 90° is known as Acute angle. An angle with a measure that is greater than 90° is known as Obtuse angle.
The unit used to measure an angle.
Degree has more than one meaning. Write a definition for a different meaning of the word.
Answer: The unit used to measure an angle is called as Degree.
Another meaning of the word degree is given by the amount or level to which something occurs.
A geometric shape formed when two rays share the same endpoint.
Draw examples of two different angles. Circle the larger angle.
Answer: A geometric shape formed when two rays share the same endpoint is known as Angle.
The two angles are examples of angles with different degrees. The blue colored angle is an example of acute angle, which is less than 90 degrees. Whereas, the red colored angle is an example of obtuse angle, which is greater than 90 degrees. So, the larger angle which is an example of obtuse angle have circled.
Lines that meet or cross each other.
The Latin root sect means “cut.” How can this help you remember the term intersecting?
Answer: Lines that meet or cross each other are called intersecting lines.
The Latin root sect means “cut.” So, the two lines cut each other. Thus, cut also refers to intersects, thereby it is easy to remember as intersecting lines.
The point at the beginning of a ray or line segment.
How many endpoints are on a ray? How many endpoints are on a line segment?
Answer: The point at the beginning of a ray or line segment is called endpoint.
A ray has only one endpoint. Whereas, there are two endpoints on a line segment.
The fold line indicating that a figure’s two halves match exactly.
The prefix a- can mean “not, without.” Draw an asymmetrical object in the space below.
Answer: The fold line indicating that a figure’s two halves match exactly is called Line of symmetry.
The black line in the above figure can be treated as line of symmetry. On to the left and right of the line, the figure is not symmetrical to each other, which implies this as an example of an asymmetrical object.
A straight set of points that extend forever in opposite directions.
Line is a multiple-meaning word. Write a sentence using it as a verb.
Answer: A straight set of points that extend forever in opposite directions is called as a Line.
Here is the sentence using line as a verb. People lined the stadium to watch the race.
Ideas for Use
- Design a crossword puzzle. Use the definition for each word as the clues.
- Write a tally mark on each card every time you use the word. Challenge yourself to use at least 3 tally marks for each card.
If a figure can be folded over a line so that one half of the figure matches the other half, it has line symmetry.
How could you demonstrate to a friend that a circle has line symmetry?
Answer: If we fold a circle over any of its diameters, then the parts of the circle on both side of the diameter will be equal. Thus, this depicts that the parts of the circle on each side of the diameter is having the same area. Hence, any diameter of a circle can be treated as a line of symmetry for the circle, which implies the circle is a symmetrical object.
A part of a line between two endpoints.
Explain the difference between a line and a line segment.
Answer: A line is a connected set of points extending Infinitely in both directions. A line segment is a section of a line between two points.
A line as infinite number of points. Whereas, a line segment as two end points.
A triangle with one obtuse angle.
Name one way in which obtuse and acute triangles are similar, and one way in which they are different.
Answer: In an acute triangle, all the angles of a triangle are less than 90 degrees. In an obtuse triangle, one of the angles of a triangle is greater than 90 degrees. Since a triangle’s angles must sum to 180°,no triangle can have more than one obtuse angle.
One way in which obtuse and acute triangles are similar is that there is no 90 degrees in any of its triangle. A triangle with 90 degrees is known as Right angled triangle.
An angle that measures greater than 90° but less than 180°.
Draw an obtuse angle and a right angle below. Circle the obtuse angle.
Answer: An angle that measures greater than 90° but less than 180° is called Obtuse angle.
Blue colored angle which is less than 90 degrees is known as acute angle. Red colored angle which is greater than 90 degrees is known as obtuse angle. The circled angle indicates obtuse angle.
Lines that are always the same distance apart. Parallel lines d0 not meet.
Give examples of three shapes that have at least one set of parallel line segments.
Answer: Lines that are always the same distance apart are called Parallel lines.
Rectangle, Square, Rhombus, Parallelogram are the examples that have at least one set of parallel line segments.
An angle that turns through \(\frac{1}{360}\) of a circle.
How many one-degree angles are in a circle?
Answer: An angle that turns through \(\frac{1}{360}\) of a circle is called One degree angle.
A circle has 360 one-degree angles.
Lines that meet or cross each other to form right angles.
Find two examples of perpendicular line segments in the room.
Answer: Lines that meet or cross each other to form right angles is called perpendicular lines.
The adjacent edges of a book, the adjacent sides of a room, the steps of a straight ladder are the examples of perpendicular line segments in the room.
A quadrilateral with opposites sides equal in length and parallel. Opposite angles have the same size.
Describe the angles of the parallelogram shown on this card.
Answer: A quadrilateral with opposites sides equal in length and parallel, Opposite angles have the same size is called Parallelogram.
The angles inside two sides inside a parallelogram must add up to 180°, which means that the angles inside the entire shape must add up to 360°.
Ideas for Use
- Practice your penmanship! Write each word in cursive.
- Work with a partner to name a part of speech of each word. Consult a dictionary to check your answers.
A part of a line that has one endpoint and goes on forever in one direction without ending.
What does the multiple-meaning word ray mean in this sentence? A ray of sunshine shone on the wall.
Answer: A part of a line that has one endpoint and goes on forever in one direction without ending is called Ray.
A ray of sunshine shone on the wall means someone or something that makes a person happier or a place more happier.
An exact location represented by a dot.
Write a sentence using the multiple-meaning word point as a verb.
Answer: An exact location represented by a dot is called a point.
The man had pointed a knife at thief is an example sentence using point as a verb.
A quadrilateral with 4 equal sides. Opposite sides are equal in length and parallel.
Is a rhombus also a trapezoid? Explain.
Answer: Yes, a rhombus is a special type of trapezoid.
A quadrilateral with 4 right angles. Both sets of opposite sides are equal in length and parallel.
Solve this riddle: I am a place to play a sport. A net divides each of my sides equally. I’m shaped like a rectangle. What am I?
Answer: A quadrilateral with 4 right angles. Both sets of opposite sides are equal in length and parallel is called as Rectangle.
I am a place to play a sport. A net divides each of my sides equally. I’m shaped like a rectangle. What am I? Playing Court
A triangle with one right angle.
The word right has many meanings. Use a dictionary to find a synonym and an antonym for right.
Answer: A triangle with one right angle is called Right angle triangle.
The word right synonyms are correct ,exact, accurate, fair.
The word right antonyms are wrong, incorrect, imperfect.
An angle with a measure of 90°.
Explain how perpendicular lines and right angles are related.
Answer: An angle with a measure of 90° is called Right angle.
A perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are said to be perpendicular to each other.
A quadrilateral with exactly one pair of parallel sides.
Draw a trapezoid and a parallelogram below. Circle the trapezoid.
Answer: A quadrilateral with exactly one pair of parallel sides is called trapezoid.
Black color figure illustrates a parallelogram with two opposite parallel sides. Whereas, blue colored figure illustrates a trapezoid with one pair of parallel sides. So, the trapezoid got circled as per requirement.
A quadrilateral with 4 right angles and 4 equal sides. Opposite sides are equal in length and parallel.
Are all squares rectangles? Are all rectangles squares?
Answer: A quadrilateral with 4 right angles and 4 equal sides is called a Square. A quadrilateral with opposite sides are equal in length and parallel is called a Rectangle.
All squares are rectangles but all rectangles are not squares.
My Foldable
Follow the steps on the back to make your Foldable.
Answer:
After folding as per the directions, The green color bordered rectangular side is on the top side.