Drill & Practice Unit 3
I – Constructing Perpendicular LinesConstruct a line that is perpendicular
to each line using just a compass and a straight edge.
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II – Replicating Angles With a Compass Construct an angle that is congruent to
the angle given using only a compass and a straight edge.
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III – Classifying Angles Classify each angle as acute, right , obtuse, straight or
reflex without measuring.
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IV – Replicating Angles With a ProtractorConstruct an angle that is congruent
to the angle given using only a protractor and a straight edge.
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V – Bisecting Angles Using a CompassEvenly bisect each angle using only a
compass and straight edge.
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VI – Bisecting Angles Using a ProtractorEvenly bisect each angle using only a
protractor and straight edge.
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VII – Transversal Diagrams
- Examine the following diagram closely.
- Line ___ is parallel to line ____. In addition, line ___ is parallel to line ____.
- Line ___ is perpendicular to line ____. In addition, line ___ is perpendicular to line ____.
- is the alternate interior angle to angle ______.
- is the corresponding angle to angle ______.
- is the supplementary angle to angle ______.
- Angle ______is a right angle.
- Line _____ is a transversal to lines .
- Lines _____ and _____ are transversals to lines .
- Complete the following transversal diagram by stating the measure of each angle.
Do not measure the angles, use deduction (reasoning).
- Complete the following diagram by stating the measure of each angle.
Do not measure the angles, use deduction (reasoning).
- A high voltage power line is mostly made with parallel struts. Complete the diagram by using the angles to solve for the others. Do not measure the angles, use deduction.
VIII – Similar PolygonsDetermine if each polygon is similar to the other one.
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IX – Scale FactorsDetermine the sizes of each new dimension using proportions based on the scale factor specified.
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X – Enlarging PolygonsEnlarge each shape by the scale factor provided. Show
your calculations with the scale factor.
- Enlarge to 200% of the original size:
- Enlarge by a scale factor of 3:
- Enlarge by a scale factor of .
- Enlarge by 50%.
XI – Reducing PolygonsReduce each shape by the scale factor provided. Show
your calculations with the scale factor.
1. Reduce to 20% of the original size.
2. Reduce to of the original size.
3. Reduce to of the original size.
4. Reduce by 80% of the original size.
XII – Verifying Similarity Determine if the triangles are similar by testing corresponding
sides for a similar scale factor.
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XIII – Solving Similar TrianglesIn each of the following solve for the unknown side in the
similar triangles.
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