Geometry for Sixth Graders: Master Shapes and Angles

Question 1

When two straight lines cross at a point, they create four angles. If one of these angles measures 120 degrees, what is the measure of the angle next to it?

Accepted Answer

60 degrees

Answer

30 degrees

Answer

90 degrees

Question 2

Which criteria determine if two triangles are congruent?

Accepted Answer

Matching side lengths and angle measures

Answer

Identical side lengths

Answer

Identical angle measures

Question 3

Which two features are unique to regular polygons?

Accepted Answer

Equal side lengths and equal interior angles

Answer

Equal side lengths but not equal interior angles

Answer

Equal interior angles but not equal side lengths

Question 4

What type of symmetry does a square possess?

Accepted Answer

Both reflection and rotational symmetry

Answer

No symmetry

Answer

Only reflection symmetry

Answer

Only rotational symmetry

Question 5

Which triangle has all three sides and all three angles equal?

Accepted Answer

Equilateral Triangle

Answer

Isosceles Triangle

Answer

Scalene Triangle

Answer

Right Triangle

Question 6

A composite figure is made by combining a rectangle and a semicircle. The rectangle measures 15 cm by 8 cm. The semicircle has a diameter of 8 cm. What's the area of the composite figure?

Accepted Answer

152 cm²

Answer

104 cm²

Answer

120 cm²

Answer

184 cm²

Question 7

You're building a rectangular frame for a picture using four sticks of the same length. Each corner of the frame is a right angle (90 degrees). What's the total of all the angles inside the frame?

Accepted Answer

360 degrees

Answer

180 degrees

Answer

270 degrees

Answer

450 degrees

Question 8

Which shape has four equal sides?

Accepted Answer

Square

Answer

Triangle

Answer

Rectangle

Answer

Trapezoid

Question 9

How many right angles does a rectangle have?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 10

Which property describes a circle?

Accepted Answer

Has no corners

Answer

Has 4 sides

Answer

Has a right angle

Answer

Has equal sides

Question 11

What is the name for the point where two lines meet?

Accepted Answer

Vertex

Answer

Angle

Answer

Midpoint

Answer

Endpoint

Question 12

How many degrees are in a complete circle?

Accepted Answer

360

Answer

180

Answer

270

Answer

450

Question 13

What is the area of a square with sides measuring 5 cm?

Accepted Answer

25 cm2

Answer

10 cm

Answer

20 cm2

Answer

50 cm2

Question 14

Which of these is not a type of triangle?

Accepted Answer

Quadrilateral

Answer

Equilateral

Answer

Isosceles

Answer

Scalene

Question 15

Which shape has the most symmetry?

Accepted Answer

Square

Answer

Triangle

Answer

Pentagon

Answer

Hexagon

Question 16

Which shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 17

What is the sum of the interior angles of a triangle?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

120 degrees

Answer

270 degrees

Question 18

Which type of angle is less than 90 degrees?

Accepted Answer

Acute angle

Answer

Obtuse angle

Answer

Right angle

Answer

Straight angle

Question 19

How many sides does a hexagon have?

Accepted Answer

Six

Answer

Five

Answer

Seven

Answer

Eight

Question 20

Which of the following shapes is three-dimensional?

Accepted Answer

Sphere

Answer

Square

Answer

Triangle

Answer

Rectangle

Question 21

Which triangle is congruent to a given triangle?

Accepted Answer

A triangle with the same shape and size

Answer

A triangle with the same angles but not the same sides

Answer

A triangle with the same area but not the same angles

Answer

A triangle with the same perimeter but not the same shape

Question 22

What is the volume of a cube with an edge length of 3 cm?

Accepted Answer

27 cm³

Answer

9 cm³

Answer

81 cm³

Answer

216 cm³

Question 23

Which shape has four equal sides and four right angles?

Accepted Answer

Rectangle

Answer

Triangle

Answer

Circle

Answer

Trapezoid

Question 24

How many degrees are in a right angle?

Accepted Answer

90°

Answer

30°

Answer

45°

Answer

120°

Question 25

Which of these is a 3-dimensional shape?

Accepted Answer

Sphere

Answer

Square

Answer

Triangle

Answer

Line

Question 26

Find the area of a triangle with a base of 5 centimeters and a height of 4 centimeters.

Accepted Answer

20 cm²

Answer

5 cm²

Answer

10 cm²

Answer

25 cm²

Question 27

What type of triangle has all three sides different lengths?

Accepted Answer

Scalene

Answer

Isosceles

Answer

Equilateral

Answer

Right

Question 28

Which of these is NOT a type of angle?

Accepted Answer

Oblong

Answer

Acute

Answer

Obtuse

Answer

Reflex

Question 29

What is the sum of the interior angles of a triangle?

Accepted Answer

180 degrees

Answer

120 degrees

Answer

270 degrees

Answer

360 degrees

Question 30

Which shape has two pairs of parallel sides?

Accepted Answer

Trapezoid

Answer

Square

Answer

Rhombus

Answer

Circle

Question 31

Which angle is classified as acute?

Accepted Answer

25 degrees

Answer

90 degrees

Answer

120 degrees

Answer

180 degrees

Question 32

Which shape is an example of a regular polygon?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezoid

Answer

Parallelogram

Question 33

In a trapezoid, which segment is parallel to the bases and connects their midpoints?

Accepted Answer

Median

Answer

Altitude

Answer

Diagonal

Answer

Perpendicular bisector of a base

Question 34

A scale drawing of a rectangular garden is 5 cm long and 3 cm wide. If the actual garden is 10 meters long, what is its actual width?

Accepted Answer

6 meters

Answer

10 meters

Answer

15 meters

Question 35

What is the defining characteristic of perpendicular lines?

Accepted Answer

They intersect at a right angle.

Answer

They are always parallel.

Answer

They never intersect.

Answer

They form a square shape.

Question 36

Find the volume of a rectangular prism with a length of 5 centimeters, a width of 3 centimeters, and a height of 2 centimeters.

Accepted Answer

30 cubic centimeters

Answer

10 cubic centimeters

Answer

35 cubic centimeters

Answer

40 cubic centimeters

Question 37

In an isosceles triangle, one base angle measures 50 degrees. What is the measure of the other base angle?

Accepted Answer

50 degrees

Answer

100 degrees

Answer

25 degrees

Answer

150 degrees

Question 38

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Calculate the surface area of the rectangular prism.

Accepted Answer

60 cm²

Answer

30 cm²

Answer

50 cm²

Question 39

When trapezoid ABCD is reflected across the y-axis, which new trapezoid is formed?

Accepted Answer

A'B'C'D

Answer

A'B'D'C'

Answer

ABCD'

Question 40

Which property is unique to a circle?

Accepted Answer

Equal radii from the center to any point on the circle

Answer

Infinite number of diameters

Answer

Equal side lengths

Answer

Congruent opposite angles

Question 41

What is the measure of an angle that is complementary to a 30° angle?

Accepted Answer

90°

Answer

30°

Answer

45°

Answer

60°

Question 42

Which quadrilateral has four congruent sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezoid

Answer

Rhombus

Question 43

Which shape has a boundary that is not straight?

Accepted Answer

Circle

Answer

Triangle

Answer

Square

Answer

Rectangle

Question 44

Which angle is less than 90°?

Accepted Answer

35°

Answer

95°

Answer

110°

Answer

185°

Question 45

What is a three-dimensional shape called that has two circular faces and a curved surface?

Accepted Answer

Cylinder

Answer

Cube

Answer

Sphere

Answer

Cone

Question 46

Which of these nets can be folded into a rectangular prism?

Accepted Answer

A square with flaps on all four sides

Answer

A triangle with flaps on three sides

Answer

A circle with flaps on two sides

Answer

A hexagon with flaps on six sides

Question 47

What is the name of the point where two rays meet?

Accepted Answer

Vertex

Answer

Endpoint

Answer

Midpoint

Answer

Segment

Question 48

Which three-dimensional shape has six square sides and eight corners?

Accepted Answer

Cube

Answer

Cone

Answer

Cylinder

Answer

Sphere

Question 49

A quadrilateral with two pairs of parallel sides is called a:

Accepted Answer

Parallelogram

Answer

Rectangle

Answer

Trapezoid

Answer

Rhombus

Question 50

Which of the following angles measures 90 degrees?

Accepted Answer

Right angle

Answer

Acute angle

Answer

Obtuse angle

Answer

Straight angle

Question 51

Which of the following is used to calculate the area of a circle?

Accepted Answer

Square units

Answer

Cubic units

Answer

Perimeter units

Answer

Volume units

Question 52

The midpoint of a line segment is the point that:

Accepted Answer

Divides the segment into equal parts

Answer

Lies on the segment

Answer

Is the center of the segment

Answer

Is adjacent to the segment

Question 53

A parallelogram with four equal sides is called a:

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Trapezoid

Question 54

The diameter of a circle is:

Accepted Answer

Twice the radius

Answer

Half the radius

Answer

Equal to the circumference

Answer

Equal to the area

Question 55

Circles have distinct characteristics. Which of the following is NOT a property of a circle?

Accepted Answer

It has four sides

Answer

It is a closed shape

Answer

It has a central point

Answer

It has a circumference

Question 56

In the realm of geometry, quadrilaterals are fascinating shapes. What is the total measure of all the interior angles found within a quadrilateral?

Accepted Answer

360 degrees

Answer

90 degrees

Answer

180 degrees

Answer

270 degrees

Question 57

Triangles, with their three distinct sides, form angles at each vertex. What is the specific name given to the angle formed where two adjacent sides of a triangle meet?

Accepted Answer

Interior angle

Answer

Acute angle

Answer

Exterior angle

Answer

Obtuse angle

Question 58

Polygons, with their varying numbers of sides, can be classified. Which type of polygon is characterized by equal side lengths?

Accepted Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Trapezoid

Answer

Isosceles triangle

Question 59

Transformations alter the appearance of shapes without changing their size or shape. Which of the following transformations involves rotating a shape around a fixed point?

Accepted Answer

Rotation

Answer

Reflection

Answer

Translation

Answer

Dilation

Question 60

The Pythagorean theorem is a cornerstone of geometry. What is the mathematical equation that represents this theorem?

Accepted Answer

a^2 + b^2 = c^2

Answer

a + b = c

Answer

a^2 - b^2 = c^2

Answer

a - b = c

Question 61

Solids come in various forms, each with unique characteristics. Which type of solid has a circular base and a single, pointed end?

Accepted Answer

Cone

Answer

Sphere

Answer

Cylinder

Question 62

Identify the name of a triangle with two equal sides.

Accepted Answer

Isosceles triangle

Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Right triangle

Question 63

What is the measurement of an angle that forms a straight line?

Accepted Answer

180 degrees

Answer

360 degrees

Answer

90 degrees

Answer

45 degrees

Question 64

What formula is used to calculate the area of a triangle?

Accepted Answer

½ * base * height

Answer

l * w

Answer

4πr

Answer

π * r²