Lines `AB` and `CD` are parallel.
Line `EF` intersects lines `AB` and `CD` as shown.
Which pair of angles are equal?
- `/_ FQA and /_ FQB`
- `/_ CPQ and /_ AQE`
- `/_ CPQ and /_ PQB`
- `/_ DPE and /_ FPD`
Angle Basics, SM-Bank 002 MC
Lines `AB` and `CD` are parallel.
Line `EF` intersects lines `AB` and `CD` as shown.
Which pair of angles are equal?
- `/_ EPB and /_ EPA`
- `/_ CQE and /_ APF`
- `/_ FQD and /_ FQC`
- `/_ CQE and /_ FPB`
Show Worked Solution
`/_ CQE = /_ FPB\ \ text{(alternate angles)}`
`=>D`
Angle Basics, SM-Bank 002
The diagram below shows a transversal intersecting two parallel lines.
On the diagram, identify
- One pair of alternate angles using a tick \((\checkmark)\) to identify the angles. (1 mark)
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- One pair of vertically opposite angles using a dot \((\cdot)\) to identify the angles. (1 mark)
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Show Answers Only
i. & ii.
\(\text{One solution (of many possibilities):}\)
Show Worked Solution
i. & ii.
\(\text{One solution (of many possibilities):}\)
Angle Basics, SM-Bank 003
The diagram below shows a transversal intersecting two parallel lines.
On the diagram, label the following:
- One pair of cointerior angles using a tick \((\checkmark)\) to identify the angles. (1 mark)
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- One pair of alternate angles using a dot \((\cdot)\) to identify the angles. (1 mark)
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Show Answers Only
i. & ii.
\(\text{One solution (of many possibilities):}\)
Show Worked Solution
i. & ii.
\(\text{One solution (of many possibilities):}\)
Angle Basics, SM-Bank 006
The diagram below shows two parallel lines intersected by transversal \(RV\).
- Name the angle that is alternate to \(\angle RUW\). (1 mark)
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- Name the angle that is vertically opposite to \(\angle WUV\). (1 mark)
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- Name the angle that is cointerior to \(\angle QUT\). (1 mark)
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Show Worked Solution
i. \(\angle SQU\ \text{or}\ \angle SQV\)
ii. \(\angle TUR\)
iii. \(\angle SQU\)
Angle Basics, SM-Bank 013
Find the value of \(x^{\circ}\), giving reasons. (1 mark)
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Angle Basics, SM-Bank 15
The diagram below has one pair of parallel lines.
Calculate, giving reasons, the value of \(x^{\circ}\). (2 marks)
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Show Answers Only
\(\text{Alternate angles are equal (see diagram).}\)
\(\text{Angles in a straight line sum to 180°:} \)
\(x^{\circ} = 180-30=150^{\circ}\)
Show Worked Solution
\(\text{Alternate angles are equal (see diagram).}\)
\(\text{Angles in a straight line sum to 180°:} \)
\(x^{\circ} = 180-30=150^{\circ}\)
Angle Properties, SM-Bank 007
The diagram below shows two parallel lines intersected by transversal \(CG\).
- Name two angles that are complementary to \(\angle DBF\). (2 marks)
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- Name the angle that is corresponding to \(\angle HFG\). (1 mark)
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- Name the angle that is alternate to \(\angle CFH\). (1 mark)
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Show Worked Solution
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. \(\angle DBF\)
