Trig Chapter 1

Question 1

Vertical Angles

Answer 1

Pairs of angles formed from opposite sides of two intersecting lines

Question 2

Transversal

Answer 2

A line that intersects two or more parallel lines

Question 3

How many angles are formed when a transversal intersects a pair of parallel lines?

Answer 3

8

Question 4

Which angles from a transversal system are equal?

Answer 4

• Alternate interior angles (Angles 2&4, 3&6)
• Alternate Exterior Angles (Angles 1&8, 2&7)
• Corresponding angles (Angles 1&5, 2&6, 3&7, 4&8)

1=4=5=8
2=3=6=7

Question 5

In a transversal system, which angles add up to 180?

Answer 5

Interior angles on the same side of the transversal (3&5, 4&6)

Question 6

What is the sum of the three angles of any triangle?

Answer 6

180 degrees

Question 7

Acute Triangle

Answer 7

A triangle whose angles are all acute

Question 8

Right triangle

Answer 8

A triangle which has one right angle and two acute angles

Question 9

Obtuse Triangle

Answer 9

A triangle which has one obtuse angle and two acute angles

Question 10

Equilateral Triangle

Answer 10

A triangle whose sides are all of equal length

Question 11

Isosceles Triangle

Answer 11

A triangle which has two sides of equal length

Question 12

Scalene Triangle

Answer 12

A triangle whose sides are all different lengths

Question 13

Similar Triangles

Answer 13

Two or more triangles which have the same shape but are not necessarily the same size

The angles must be equal and the sides must be of equal proportion

Question 14

Congruent Triangles

Answer 14

Two or more triangles who have the same shape and size

Question 15

What trigonomic functions are reciprocals of each other?

Answer 15

Sin and Csc
Tan and Cot
Cos and Sec

Question 16

Is r^2 greater than, less than, or equal to X^2 and Y^2?

Answer 16

Greater than or equal to

Question 17

What is the group of all possible numbers of sin and cos?

Answer 17

-1<=sin or cos<=1
Sin or cos is equal to or between -1 and
Sin and cos <=l1l

Question 18

What is the group of all possible numbers of sec and csc?

Answer 18

Sec and Csc > l1l
Sec and Csc is equal to or less than -1 or equal to or greater than 1

Question 19

What is the group of all possible numbers of tan and cot?

Answer 19

All real numbers

Question 20

R^2=X^2+Y^2 is the same as what formula?

Answer 20

Pythagorean Theorem

Question 21

What are the Pythagorean identities?

Answer 21

Sin^2+Cos^2=1
1+Tan^2=Sec^2
Cot^2+1=Csc^2

Question 22

What are the Quotient Identities

Answer 22

Tan=Sin/Cos
Cot=Cos/Sin