Go through the **Spectrum Math Grade 2 Answer Key Chapter 7 Posttest **and get the proper assistance needed during your homework.

## Spectrum Math Grade 2 Chapter 7 Posttest Answers Key

**Check What You Learned**

**Name each shape.**

Answer:

The above-given shape is a triangle.

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.

Properties:

– The sum of the interior angles of a triangle is 180 degrees

– When two sides of a triangle are added, it is always greater than the third side

– Similarly, if the two sides of a triangle are subtracted, it is always less than the third side

– Two triangles are said to be similar if the corresponding angles are congruent and the corresponding side lengths are proportional.

Answer:

The above-given shape is a square

– Square is a regular quadrilateral, which has all four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90 degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees. A square can also be defined as a rectangle where two opposite sides have equal lengths.

Properties:

– All four interior angles are equal to 90°

– All four sides of the square are congruent or equal to each other

– The opposite sides of the square are parallel to each other

– The diagonals of the square bisect each other at 90°

– The two diagonals of the square are equal to each other

– The square has 4 vertices and 4 sides

Answer:

The above-given shape is a rectangle.

– 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.

– 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

– The 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

Answer:

The above-given shape is a circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the centre for every angle.

Properties:

– The outer line of a circle is at equidistant from the centre

– The diameter of the circle divides it into two equal parts

– Circles which have equal radii are congruent to each other.

– Circles which are different in size or have different radii are similar.

– The diameter of the circle is the largest chord and is double the radius

Answer:

The above-given shape is a pentagon.

A pentagon is one of the many types of a polygon having five sides and five angles. The word ‘Pentagon’ arises from two words, that are, ‘Penta’ and ‘Gonia,’ meaning five angles. In a pentagon, all the sides meet with each other, that too, from end to end to form its shape. Hence, the number of pentagon sides is equal to five.

Answer:

The above-given shape is a triangle.

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.

Properties:

– The sum of the interior angles of a triangle is 180 degrees

– When two sides of a triangle are added, it is always greater than the third side

– Similarly, if the two sides of a triangle are subtracted, it is always less than the third side

– Two triangles are said to be similar if the corresponding angles are congruent and the corresponding side lengths are proportional.

Answer:

The above-given shape is a hexagon.

A hexagon is a two-dimensional geometrical shape that is made of six sides, having the same or different dimensions of length. Some real-life examples of the hexagon shape are a hexagonal floor tile, pencil cross-section, clock, honeycomb, etc. It can be either regular (with 6 equal side lengths and equal angles) or irregular (with 6 unequal side lengths and angles).

Properties:

– It has six sides, six edges, and six vertices.

– All the side lengths are equal or unequal in measurement.

– All the internal angles are equal to 120° each in a regular hexagon.

– The sum of the internal angles is always equal to 720°.

– All the external angles are equal to 60° each in a regular hexagon.

– The sum of the exterior angles is equal to 360°.

Answer:

The above-given shape is a rectangle.

– 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.

– 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

– The 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

**Circle the shape named.**

square pyramid

Answer:

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called a vertex) is called a square pyramid. It is called a pentahedron, due to its five faces.

cube

Answer:

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

sphere

Answer:

the sphere is a geometrical figure that is round in shape. The sphere is defined in a three-dimensional space. The sphere is three dimensional solid, that has surface area and volume. Just like a circle, each point of the sphere is at an equal distance from the centre.

**Answer the questions.**

Which shape has 6 equal faces?

Answer: cube

A cube is a solid figure with 6 equal faces, 12 edges, and 8 vertices. Each face is a square, with 4 equal edges and 4 right angles.

Which shape has 2 pairs of equal sides?

Answer: Parallelogram

A parallelogram has two pairs of equal sides. It has two pairs of equal angles.

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.

Which shape has 5 total angles?

Answer: Pentagon

A pentagon is one of the many types of a polygon having five sides and five angles. The word ‘Pentagon’ arises from two words, that are, ‘Penta’ and ‘Gonia,’ meaning five angles. In a pentagon, all the sides meet with each other, that too, from end to end to form its shape. Hence, the number of pentagon sides is equal to five.

Which shape is completely round and 3-D?

Answer: sphere.

the sphere is a geometrical figure that is round in shape. The sphere is defined as a three-dimensional space. The sphere is three dimensional solid, that has surface area and volume. Just like a circle, each point of the sphere is at an equal distance from the centre.

**Draw the plane shapes. Colour them.**

pentagon

Answer:

A pentagon is one of the many types of a polygon having five sides and five angles. The word ‘Pentagon’ arises from two words, that are, ‘Penta’ and ‘Gonia,’ meaning five angles. In a pentagon, all the sides meet with each other, that too, from end to end to form its shape. Hence, the number of pentagon sides is equal to five.

rectangle

Answer:

– 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.

– 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

– The 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

**Draw the solid shapes. Colour them.**

square pyramid

Answer:

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called a vertex) is called a square pyramid. It is called a pentahedron, due to its five faces. A square pyramid has:

– An apex: top vertex or point of the pyramid

– A Base in a square shape

– Four triangular faces

cube

Answer:

A cube** **is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron. All six faces of a cube are squares, a two-dimensional shape.

**Circle the plane shapes that are faced on the solid shape.**

cube

Answer:

A cube** **is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron. All six faces of a cube are squares, a two-dimensional shape.

rectangle solid

Answer:

A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of opposite faces are congruent.

square pyramid

Answer:

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called a vertex) is called a square pyramid. It is called a pentahedron, due to its five faces. A square pyramid has:

– An apex: top vertex or point of the pyramid

– A Base in a square shape

– Four triangular faces