Geometry Worksheet

Front

In a triangle, how many total degrees are there?

Back

180 degrees

Answer explanation

In a triangle, the sum of all interior angles is always 180 degrees. Therefore, the correct answer is 180 degrees.

Front

This is . . .

Back

a right triangle

Answer explanation

The correct answer is a right triangle because it has one angle that measures exactly 90 degrees. This distinguishes it from isosceles, obtuse, and acute triangles, which have different angle properties.

Front

This is . . .

Back

an equilateral triangle

Answer explanation

An equilateral triangle has all three sides equal and all angles measuring 60 degrees. This characteristic distinguishes it from scalene, obtuse, and right triangles, which have different side lengths or angle measures.

Front

Look at the sides of this triangle. What type of triangle is this?

Back

isosceles

Answer explanation

The triangle is classified as isosceles because it has at least two sides of equal length. This distinguishes it from scalene (no equal sides), equilateral (all sides equal), and acute (angle type).

Front

Classify the triangle by its sides.

Back

Scalene

Answer explanation

A scalene triangle has all sides of different lengths. Since the triangle in question has no equal sides, it is classified as scalene, distinguishing it from equilateral, isosceles, and right triangles.

Front

I have 4 right angles and 4 sides of equal length, what am I?

Back

a square

Answer explanation

You have 4 right angles and 4 sides of equal length, which defines a square. A rectangle has equal opposite sides but not necessarily all sides equal, while a rhombus has equal sides but not right angles. A trapezoid does not fit these criteria.

Front

What shape has only one set of parallel sides?

Back

Trapezoid

Answer explanation

A trapezoid is defined as a shape with only one pair of parallel sides, distinguishing it from other shapes like rhombuses, squares, and parallelograms, which have two pairs of parallel sides.

Front

Name that shape.

Back

trapezoid

Answer explanation

A trapezoid is a four-sided shape with at least one pair of parallel sides. The other options, like square and rectangle, have all sides equal or opposite sides equal, which does not apply here.

Front

I am a quadrilateral with the following characteristics: - 2 pairs of opposite sides that are parallel - 4 sides that are of equal length - 4 right angles. What quadrilateral am I?

Back

square

Answer explanation

The quadrilateral has 2 pairs of parallel sides, 4 equal sides, and 4 right angles. This matches the definition of a square, which is a specific type of rectangle and rhombus. Therefore, the correct answer is a square.

Front

5 3/4 feet long and 4 1/2 feet wide. What is the area, in square feet, of the garden?

Back

20 3/8 square feet

Answer explanation

To find the area of Jayden's garden, multiply the length (5 3/4 feet) by the width (4 1/2 feet). Converting to improper fractions gives 23/4 and 9/2. The area is (23/4) * (9/2) = 207/8 = 20 3/8 square feet.