10MAT Geometry Revision

Question 1

True or False: A line segment can be extended indefinitely.

Answer 1

False

Question 2

What is the term for a polygon with eight sides?

Answer 2

Octagon

Question 3

What is the name of the point where two lines intersect?

Answer 3

Vertex

Question 4

What is the name of the line segment that connects two points on a circle?

Answer 4

Chord

Question 5

What type of triangle has one angle greater than 90 degrees?

Answer 5

Obtuse triangle

Question 6

What is a line that divides an angle into two equal parts called?

Answer 6

Angle bisector

Question 7

What do you call a triangle with all sides of different lengths?

Answer 7

Scalene triangle

Question 8

What is the Pythagorean theorem?

Answer 8

a² + b² = c²

Question 9

What is the relationship between the sides of similar triangles?

Answer 9

They are proportional.

Question 10

Fill in the blank: The formula for the circumference of a circle is ____.

Answer 10

C = 2πr

Question 11

True or False: The Pythagorean theorem applies to all triangles.

Answer 11

False

Question 12

What is the relationship between the angles in an isosceles triangle?

Answer 12

The base angles are equal.

Question 13

True or False: A scalene triangle can have two equal angles.

Answer 13

False

Question 14

What type of angle measures less than 90 degrees?

Answer 14

Acute angle

Question 15

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

Answer 15

180 degrees

Question 16

What is the sum of the exterior angles of any polygon?

Answer 16

360 degrees

Question 17

Fill in the blank: The radius is half the length of the ____.

Answer 17

Diameter

Question 18

What is the height of a triangle?

Answer 18

The perpendicular distance from the base to the opposite vertex.

Question 19

Fill in the blank: The base of a triangle is the side that is ____ to the height.

Answer 19

perpendicular

Question 20

What is the area of a rectangle with length 7 cm and width 2 cm?

Answer 20

14 cm²

Question 21

What is the formula for the surface area of a sphere?

Answer 21

SA = 4πr²

Question 22

What is the formula for the area of a sector of a circle?

Answer 22

A = (θ/360) × πr²

Question 23

What is the formula for the area of a right triangle?

Answer 23

A = 1/2 × base × height

Question 24

Fill in the blank: The centroid of a triangle is the point where the three ____ meet.

Answer 24

medians

Question 25

What is the name of a 3D shape with a circular base and a single vertex?

Answer 25

Cone

Question 26

What is the difference between a convex and concave polygon?

Answer 26

A convex polygon has all interior angles less than 180 degrees, while a concave polygon has at least one interior angle greater than 180 degrees.

Question 27

What is the term for a 3D shape with six rectangular faces?

Answer 27

Cuboid

Question 28

What is the formula for the length of an arc in a circle?

Answer 28

L = (θ/360) × 2πr

Question 29

What is the name of the longest diagonal in a rectangular prism?

Answer 29

Space diagonal

Question 30

What is the formula for the volume of a sphere?

Answer 30

V = (4/3)πr³

Question 31

What is the formula for the area of a parallelogram?

Answer 31

A = base × height

Question 32

What is the volume formula for a rectangular prism?

Answer 32

V = length × width × height

Question 33

What is the formula for calculating the volume of a cylinder?

Answer 33

V = πr²h

Question 34

Fill in the blank: A right angle measures ____ degrees.

Answer 34

90

Question 35

True or False: The angles in a quadrilateral can add up to more than 360 degrees.

Answer 35

False

Question 36

What do you call a triangle with at least two equal sides?

Answer 36

Isosceles triangle

Question 37

What is the relationship between the angles formed by a transversal cutting two parallel lines?

Answer 37

Corresponding angles are equal.

Question 38

What is a transversal?

Answer 38

A line that intersects two or more lines.

Question 39

What is the measure of each angle in an equilateral triangle?

Answer 39

60 degrees

Question 40

True or False: A square is a type of rectangle.

Answer 40

True

Question 41

What is the name of the segment that connects the center of a circle to a point on the circle?

Answer 41

Radius

Question 42

Fill in the blank: A polygon with five sides is called a ____.

Answer 42

Pentagon

Question 43

What is a polygon with no sides called?

Answer 43

Circle

Question 44

What is the area of a square with side length 4 cm?

Answer 44

16 cm²

Question 45

What is the perimeter of a rectangle with length 5 cm and width 3 cm?

Answer 45

16 cm

Question 46

True or False: A kite has two pairs of equal adjacent sides.

Answer 46

True

Question 47

True or False: All rectangles are squares.

Answer 47

False

Question 48

Fill in the blank: A line that intersects a circle at exactly one point is called a ____.

Answer 48

Tangent

Question 49

Fill in the blank: The formula for the perimeter of a square is ____.

Answer 49

P = 4s

Question 50

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

Answer 50

360 degrees

Question 51

Fill in the blank: The median of a triangle is a line segment from a vertex to the ____ of the opposite side.

Answer 51

midpoint

Question 52

True or False: A trapezoid has at least one pair of parallel sides.

Answer 52

True

Question 53

What is the distance around a circle called?

Answer 53

Circumference

Question 54

True or False: A parallelogram has opposite sides that are equal in length.

Answer 54

True

Question 55

What do you call the longest side of a right triangle?

Answer 55

Hypotenuse

Question 56

What is a 3D shape with two parallel circular bases called?

Answer 56

Cylinder

Question 57

Fill in the blank: The area of a rectangle is calculated by multiplying the length by the ____.

Answer 57

width

Question 58

What is the formula for the area of a semicircle?

Answer 58

A = (1/2)πr²

Question 59

What do you call an angle that measures exactly 90 degrees?

Answer 59

Right angle

Question 60

What is the formula for the area of a rhombus?

Answer 60

A = (d₁ × d₂) / 2

Question 61

Fill in the blank: The line that divides a shape into two equal parts is called a ____.

Answer 61

Line of symmetry

Question 62

What is the relationship between the angles in a linear pair?

Answer 62

They are supplementary.

Question 63

True or False: A rhombus has opposite angles that are equal.

Answer 63

True

Question 64

Fill in the blank: A polygon with ten sides is called a ____.

Answer 64

Decagon

Question 65

What is the term for two angles that add up to 90 degrees?

Answer 65

Complementary angles

Question 66

True or False: The diagonals of a rectangle bisect each other at right angles.

Answer 66

False

Question 67

What is the formula for the area of a trapezoid?

Answer 67

A = 1/2 × (b₁ + b₂) × h

Question 68

What is the formula for the area of a circle?

Answer 68

A = πr²

Question 69

True or False: The diagonals of a square are equal in length.

Answer 69

True

Question 70

What is the formula for the surface area of a cube?

Answer 70

SA = 6s²

Question 71

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

Answer 71

25 cm²