We included **HMH Into Math Grade 3 Answer Key PDF** **Module 19 Lesson 3 Describe Sides of Shapes **to make students experts in learning maths.

## HMH Into Math Grade 3 Module 19 Lesson 3 Answer Key Describe Sides of Shapes

I Can identify whether the sides of a shape are equal or not equal in length. I can identify parallel sides of a shape.

**Spark Your Learning**

Anya draws plans A and B for a 4-sided tabletop she is making.

Describe the sides of each tabletop design.

Blue sides

Length: ______A_______

Distance apart: ___2A_______

Let us assume width=b (red sides). So distance apart=2(A+B).

The above diagram is a rectangle.

A rectangle is a 2-dimensional geometric shape consisting of four sides, four angles and four vertices. Opposite sides of the rectangle are equivalent and parallel to each other in a rectangle. Remember that all the interior four angles of the rectangle are right angles. Pointing out, a parallelogram also has its opposite sides equal and parallel to each other but the angles do not make 90 degrees of measurement.

Perimeter is the total distance covered by the rectangle around its outside. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides. Since the perimeter is a linear measure, therefore, the unit of the perimeter of the rectangle will be in meters, centimetres, inches, feet, etc.

Red sides

Length: ______B_______

Distance apart:_____2B________

Blue sides

Length: _______B______

Distance apart: ___B+D_________

A trapezium is a closed shaped two-dimensional quadrilateral having a pair of parallel opposite sides. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs. The trapezium has four sides and four corners. A parallelogram is also called a trapezoid with two parallel sides.

Red sides

Length: _____________

Distance apart:_____________

Answer:

The perimeter of a trapezium is found by adding all the sides. Therefore, the perimeter of a trapezium formula is given as

P=A+B+C+D.

To compute the area of a trapezium, three essential parameters are needed and they are the length of the top side (a), length of the bottom side (b) and the height of the trapezium (h).

According to the question, we need to write the red sides.

Length is D

The perimeter of the red sides are A+C

**Turn and Talk** Compare how the sides of plans A and B are alike and how they are different.

Answer:

According to my representation of the above-given diagram

A is on the red line side and b is on the blue side.

A is not the parallel line. It intersects at one point.

B is the parallel line.

**Build Understanding**

Question 1.

Emma draws shapes A, B, and C. Which shape has 3 sides that are equal in length?

Compare the lengths of the sides.

Answer:

Compare to the shapes A, B, and c and their lengths

The shape A is having 3 sides and its length is also equal.

The shapes B and C are having different lengths.

A. Which sides of shape A are equal in length? How do you know?

Answer:

The shape A is having the same lengths. The numbers are represented.

The number of dots is equal to about three sides.

B. Which sides of shape B are equal in length? How do you know?

Answer:

The two red line sides are equal. Here all the blue line sides are different when compared to red lines.

C. Which sides of shape C are equal in length? How do you know?

Answer:

Compared to red lines blue line sides are equal.

**Turn and Talk** Can all sides of a 4-sided shape be equal in length? Explain how you know.

Answer: No, because some may be equal and some may be opposite sides are equal.

For example, take rectangle:

A rectangle is a four-sided shape where every angle is a right angle and also opposite sides are parallel and of equal length.

Now take a square, A square has equal sides and every angle is a right angle. Also, opposite sides are parallel.

Now take rhombus, A rhombus is a four-sided shape where all sides have equal length, Also opposite sides are parallel and opposite angles are equal.

coming to a parallelogram, A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal.

Question 2.

Emma draws shapes D and f.

A. Which sides of shape D are the same distance apart and appear to be parallel? Explain.

Connect to Vocabulary

Lines in the same plane that never cross and are always the same distance apart are parallel lines. The red sides are parallel.

Answer:

In shape D, the red line side and blue line side are the same distance. And the two red line sides are parallel.

B. Which sides of shape E appear to be parallel? Which sides are not parallel? Explain how you know.

Answer:

The blue line sides are parallel.

The red line sides are not parallel.

The above diagram will be shown the clarification.

**Turn and Talk** Can a 3-sided shape have parallel sides? Explain.

Answer: Triangles are shapes that have no parallel sides.

By the definition of triangle, we know that it is a closed polygon that consists of three sides and three vertices. Also, the sum of all three internal angles of a triangle is equal to 180°.

– The sum of all the angles of a triangle (of all types) is equal to 180°.

– The sum of the length of the two sides of a triangle is greater than the length of the third side.

– In the same way, the difference between the two sides of a triangle is less than the length of the third side.

– The side opposite the greater angle is the longest side of all the three sides of a triangle.

**Check Understanding**

Question 1.

Draw a line to match the shape to the words that describe the red sides.

Answer:

Parallelogram:

If a quadrilateral has a pair of parallel opposite sides, then it’s a special polygon called Parallelogram. The properties of a parallelogram are as follows:

– The opposite sides are parallel and congruent

– The opposite angles are congruent

– The consecutive angles are supplementary

– If any one of the angles is a right angle, then all the other angles will be at a right angle

– The two diagonals bisect each other

– Each diagonal bisects the parallelogram into two congruent triangles

– The sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals. It is also called parallelogram law.

Trapezium:

Some important properties of a trapezium are as follows:

– In trapezium, exactly one pair of opposite sides are parallel

– The diagonals intersect each other

– The non-parallel sides in the trapezium are unequal except in isosceles trapezium

– The line that joins the mid-points of the non-parallel sides is always parallel to the bases or parallel sides which is equal to half of the sum of parallel sides

Pentagon:

Pentagons can be simple or self-intersection. The properties of a simple pentagon (5-gon) are it must have five straight sides that meet to create five vertices, but do not self-intersect:

– Pentagons have five straight sides

– Pentagons have five interior angles, which sum to 540 degrees.

– The five sides do not intersect

**On Your Own**

Question 2.

**Critique Reasoning** Li says a shape cannot have 4 sides of equal length and 2 pairs of parallel sides. Is Li correct? Explain and draw an example to show your thinking.

Answer: Li can draw rectangles

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Properties:

– It has four sides and four vertices

– Each vertex has an angle equal to 90 degrees

– The opposite sides are equal and parallel

– Diagonal bisect each other

– Perimeter is equal to twice the sum of its length and breadth

– The area is equal to the product of its length and breadth

– It’s a parallelogram with four right angles.

– Sum of all interior angles equal to 360 degrees

**Write equal length or not equal length to describe the green sides of the shape.**

Question 3.

Answer:

The green sides are having an equal length.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides. In other words, a triangle is defined as a three-sided two-dimensional figure whose interior angles are equal to 180°.

Question 4.

Answer: The green sides are not equal.

One side is having small and the other side is large.

Question 5.

Answer:

The green sides are equal in length.

A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length.

**Look at the green sides of the shape. Write if they appear to be parallel or not parallel.**

Question 6.

Answer:

The green sides are parallel.

The trapezium is a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs

Question 7.

Answer:

In the octagon, the green sided shapes are parallel.

Octagon is a polygon that has 8 sides and 8 angles. That means the number of vertices and edges of an octagon is 8. A regular octagon will have all its sides equal in length.

Question 8.

Answer:

In the octagon, the green sided shapes are not parallel because they join each other at one point.

Octagon is a polygon that has 8 sides and 8 angles. That means the number of vertices and edges of an octagon is 8. A regular octagon will have all its sides equal in length.

Question 9.

**Open-Ended** Write a riddle about a closed shape with 4 sides. Tell whether the sides are equal in length and whether any sides are parallel.

Answer:

What shape do parallelograms have?

Parallelograms are shapes that are consisting of four sides with two pairs of sides that are parallel. The four shapes that we can say necessarily meet the requirements of a parallelogram are square, rectangle, rhombus, and rhomboid.

What are some examples of a parallelogram?

As it is clear by now that parallelograms have four sides, plus the sides opposite each other are parallel. In other words, they do not intersect with each other. Therefore, we see that squares, rhombus, and rectangles are all verified as examples of parallelograms.

**I’m in a Learning Mindset!**

Did I try a new strategy that my partner suggested? What was it?

Answer: