Math test (Chapter 7)

Question 1

Area of a parallelogram

Answer 1

bh

Question 2

Area of a triangle

Answer 2

1/2 bh

Question 3

Area of a rhombus

Answer 3

1/2 d1 • d2

Question 4

Area of a kite

Answer 4

1/2 d1 • d2

Question 5

Area of a trapezoid

Answer 5

1/2 (b1+b2) h

Question 6

Area of a trapezoid (alternate)

Answer 6

h • mid segment

Question 7

Pythagorean triple

Answer 7

A set of non-zero whole numbers that satisfy the Pythagorean theorem

Question 8

Apothem

Answer 8

Perpendicular segment from the center of a polygon to the midpoint of one side

Question 9

Theorem 7•6

Answer 9

If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other 2 sides, the triangle is obtuse

Question 10

Theorem 7•7

Answer 10

If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other 2 sides, the triangle is acute

Question 11

Theorem 7•8 (45°-45°-90° triangle theorem)

Answer 11

Hypothenuse = √2 • leg

Question 12

Theorem 7•9 (30°-60°-90° triangle theorem)

Answer 12

Hypotenuse = 2• shorter leg

Longer leg = √3 • shorter leg

Question 13

You can only ADD radicals if they have the same…

Answer 13

Radicand

Question 14

You can ,,, and radicals

Answer 14

Add
Subtract
Multiply
Divide

Question 15

2√6 + 7√5

Answer 15

Can’t simplify (must have the same radicand)

Question 16

√7 /√2

What needs to be done?

Answer 16

Rationalize the denominator (√14 / √2)

Question 17

√20/9

What needs to be done?

Answer 17

Make them both separate radicals in a fraction, rationalize the denominator, and simplify (2-/5 / 3)