Geometry

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5th Grade Math › Geometry

Questions 1 - 10
1

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.39.34 pm

Explanation

The formula for volume of a rectangular prism is

We can use this formula and plug in the value from the question:

Remember, volume is always labeled as units to the third power.

2

What coordinate point is the orange triangle on?

Screen shot 2015 07 29 at 3.26.44 pm

Explanation

To find the location on a coordinate plane we first look at the -axis, which runs horizontal and then the -axis, which runs vertical. We write the point on the -axis first, followed by the point on the -axis.

The orange triangle is over on the -axis and up on the -axis.

3

Starting at the coordinate point shown below, if you move up and to the left , what is your new point?

Screen shot 2015 07 30 at 9.21.38 am

Explanation

The starting point is at . When we move up or down we are moving along the -axis. When we move to the right or left we are moving along the -axis.

Moving up the -axis and moving right on the -axis means addition.

Moving down the -axis and moving left on the axis means subtraction.

Because we are moving up , we can add to our coordinate point and because we are moving to the left we can subtract from our coordinate point.

4

Which shape has two sets of opposite, equal angles?

Rhombus

Quadrilateral

Kite

Trapezoid

Explanation

A rhombas has two sets of opposite, equal angles.

A kite has to one one set of opposite, equal angles.

A quadrilateral and trapezoid do not have to have any equal angles.

5

Starting at the coordinate point shown below, if you move up and to the right , what is your new point?

Screen shot 2015 07 30 at 8.51.14 am

Explanation

The starting point is at . When we move up or down we are moving along the -axis. When we move to the right or left we are moving along the -axis.

Moving up the -axis and moving right on the -axis means addition.

Moving down the -axis and moving left on the axis means subtraction.

Because we are moving up , we can add to our coordinate point and because we are moving to the right we can add to our coordinate point.

6

Which shape has two sets of opposite, equal angles?

Parallelogram

Kite

Trapezoid

Quadrilateral

Explanation

A parallelogram has two sets of opposite, equal angles.

A kite has to one one set of opposite, equal angles.

A quadrilateral and trapezoid do not have to have any equal angles.

7

The triangle below can be classified as what type of triangle?

Screen shot 2020 09 14 at 4.14.32 pm

Isosceles triangle

Right triangle

Equilateral triangle

Scalene triangle

Explanation

This triangle is a scalene triangle because all of the side lengths are different lengths.

This is not an equilateral triangle because an equilateral triangle has to have all sides equal in length.

This is not an isosceles triangle because an isosceles triangle has two equal sides.

This is not a right triangle because a right triangle has to have a right angle, an angle that measures .

8

Which shape has to have all angles that equal

Rectangle

Rhobmus

Parallelogram

Kite

Explanation

A rectangle has angles that all measure

A kite, parallelogram, and rhombus do not have to have angles that measure

9

Which shape can have all sides of varying length?

Quadrilateral

Rectangle

Square

Parallelogram

Explanation

A quadrilateral has to have side lengths, but they can all cary in size.

A square has equal sides.

A rectangle and parallelogram have opposite, equal side lengths.

10

What coordinate point is the orange circle on?

Screen shot 2015 07 29 at 4.25.25 pm

Explanation

To find the location on a coordinate plane we first look at the -axis, which runs horizontal and then the -axis, which runs vertical. We write the point on the -axis first, followed by the point on the -axis.

The orange circle is over on the -axis and up on the -axis.

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