Solving a crime at the FiVZiX OIL Company is Detective Sam Shapes...

When studying angles, all you need to remember is the great detective Sam Shapes, worked on a difficult crime at the FiVZiX OIL Company and got a good Solution. He needs your help to solve this problem. There are special pairs of angles that are formed by various letters of the alphabet.  Look to the "Letters " for the "Clues" to these angles.

Complete these identifications for Practice

Use this sketch to solve the various problem sets below:
Problem Set #1
From the Picture of the intersecting lines shown at the ABOVE, Identify the Letter that forms Special Angle Pairs listed here:  ÐEDI & ÐNIJ.
Then Use that letter to Identify other pairs of angles in the picture that would be "partnered".

 

 

 

Problem Set #2
From the Picture of the intersecting lines shown at the ABOVE, Identify the Letter that forms Special Angle Pairs listed here:  ÐGDI & ÐDIN..
Then Use that letter to Identify other pairs of angles in the picture that would be "partnered".
Problem Set #3
From the Picture of the intersecting lines shown at the ABOVE, Identify the Letter that forms Special Angles  listed here:  ÐNME 
Then Use that letter to Identify other angles in the picture that would be the same kind. Explain what their measures are. 		Problem Set #4
From the Picture of the intersecting lines shown at the ABOVE, Identify the Letter that forms Special Angle Pairs listed here:  ÐCDE & ÐGDI.
Then Use that letter to Identify other pairs of angles in the picture that would be "partnered". 
Problem Set #5
Write a convincing argument for why angles Vertical Angles are Congruent. Be sure to clearly state the reasons why you think they are. Your answer can either be written in a list or in complete sentence paragraph format.
 
  • The Letter "F" produces a set of CORRESPONDING ANGLES .
  • The Letter "V" produced two angles referred to as BASE ANGLES.
  • The Letter "Z" produces a set of ALTERNATE INTERIOR ANGLES .
  • The Letter "X" produces a set of VERTICAL ANGLES ..
  • The Letter "O" produces Circular (360°) Angles
  • The Letter "I" produces Straight ( or Linear) (180°) Angles.
  • The Letter "L" produces Right (90°) Angles.
Problem Set #6
From the Picture of the intersecting lines shown at the right, Identify the Special Angle Pairs that are:

1. Vertical Angles
2. Alternate Interior Angles
3. Corresponding Angles
4. Linear Pair

Transversal 1.gif (2420 bytes)

HW assignment, Add the definitions of these new "Terms" to your Glossary !