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Angle Basics, SM-Bank 001

The diagram below shows a transversal intersecting two parallel lines.

On the diagram, label the following:
 

  1. One pair of corresponding angles using the label "×" to identify the angles   (1 mark)

  2. One pair of cointerior angles using a dot \((\cdot)\) to identify the angles   (1 mark)

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\(\text{One solution (of many possibilities):}\)
 

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i. & ii.

\(\text{One solution (of many possibilities):}\)
 

Angle Basics, SM-Bank 1 MC

Craig is a town planner and needs to know the angles that streets make with each other.
 

He knows that Tombs Street and Horan Street are parallel.

What is the size of the shaded angle on the map?

  1. `60^@`
  2. `45^@`
  3. `30^@`
  4. `120^@`
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`A`

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`text(Corresponding angles are equal.)`

`:.\ text(Shaded angle) = 60°`

`=>A`

Angle Basics, SM-Bank 004

The diagram below shows a transversal intersecting two parallel lines.
 

On the diagram, identify

  1. One pair of vertically opposite angles using the label "×" to identify the angles.   (1 mark)

  2. One pair of corresponding angles using a dot \((\cdot)\) to identify the angles.   (1 mark)

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i. & ii.

\(\text{One solution (of many possibilities):}\)
 

Show Worked Solution

i. & ii.

\(\text{One solution (of many possibilities):}\)
 

Angle Basics, SM-Bank 005

The diagram below shows two parallel lines intersected by transversal \(RV\).
 

  1. Name the angle that is vertically opposite \(\angle TUR\).   (1 mark)

  2. Name the angle that is corresponding to \(\angle PQV\).   (1 mark)

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i.     \(\angle WUV\)

ii.    \(\angle WUV\)

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i.     \(\angle WUV\)
 

 

ii.    \(\angle WUV\)
 

Angle Basics, SM-Bank 011

The diagram below shows two parallel lines cut by a transversal.
 

Find the value of \(x^{\circ}\), giving reasons.   (1 mark)

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\(x=72^{\circ}\ \ \text{(corresponding angles)}\)

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\(x=72^{\circ}\ \ \text{(corresponding angles)}\)

Angle Properties, SM-Bank 007

The diagram below shows two parallel lines intersected by transversal \(CG\).
 

  1. Name two angles that are complementary to \(\angle DBF\).   (2 marks)

  2. Name the angle that is corresponding to \(\angle HFG\).   (1 mark)

  3. Name the angle that is alternate to \(\angle CFH\).   (1 mark)
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i.     \(\text{Correct answers include two of:}\)

\(\angle DBC,\ \angle EFB,\ \angle GFH,\ \text{or}\ \angle GBA.\)

ii.    \(\angle ABF\)

iii.  \(\angle DBF\)

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i.     \(\text{Complementary angles sum to 180°.}\)

\(\text{Correct answers include two of:}\)

\(\angle DBC,\ \angle EFB,\ \angle GFH,\ \text{or}\ \angle GBA.\)
 

ii.    \(\angle ABF\)

 

 
iii.  \(\angle DBF\)