Exploring Mathematics Chapters 5-6

Question 1

a rectangle with four equal sides

Answer 1

square

Question 2

2L + 2W

Answer 2

perimeter of a rectangle

Question 3

Doubling the length, width, and height of a box gives it a volume

Answer 3

eight times as great

Question 4

The sum of the _______________ of the legs of a right triangle are equal to the _______________ of the hypotenuse.

Answer 4

squares, square

Question 5

Ah

Answer 5

Volume

Question 6

L x W

Answer 6

area of a rectangle

Question 7

4S

Answer 7

perimeter of a square

Question 8

proved planets follow elliptical orbits

Answer 8

Johannes Kepler

Question 9

A whispering gallery has a shape like

Answer 9

ellipse

Question 10

a polygon with three sides and one right angle

Answer 10

right triangle

Question 11

all points are the same distance from the center

Answer 11

circle

Question 12

a mirror of this shape will focus sunlight

Answer 12

parabola

Question 13

the orbit of Haley’s comet is of this shape

Answer 13

ellipse

Question 14

discovered that the sum of the 3 angles of any triangle is 180 degrees

Answer 14

Pythagoras

Question 15

is not a polygon

Answer 15

circle

Question 16

used ratios to find the heights of buildings

Answer 16

Thales

Question 17

a polygon with five sides

Answer 17

pentagon

Question 18

the first part of the name means over or beyond

Answer 18

hyperbola

Question 19

S²

Answer 19

area of a square

Question 20

ancient Greek who worked out a way to show large numbers that he called myriads

Answer 20

Archimedes

Question 21

wrote Elements of Geometry

Answer 21

Euclid

Question 22

a quadrilateral with opposite sides parallel and equal in length

Answer 22

rectangle

Question 23

The Egyptian knotted rope was used to measure out

Answer 23

a triangle with a right angle

Question 24

∏r²

Answer 24

area of a circle