Chapter 16: Chapter review
38 questions · with revealable worked answers
Two lines meet at a 80° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 6 cm at one location and 6 cm at another. Does this observation support the claim that their separation is constant?
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation.
Draw a horizontal line at row 6 and explain whether it is perpendicular to the vertical red reference.
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Vertical and horizontal grid lines form 90° angles.
Can a rectangle be a parallelogram? Justify.
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Both opposite side pairs of the named shape are parallel.
A pattern on a card has the shape of a square. How many reflection-symmetry lines does it have?
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Square figures have 4 exact fold axes.
Reflect vertices (1,1), (5,3), and (3,5) across x = 6. Give reflected points and draw the image.
Show answer and reasoning
For x=6, the reflected horizontal coordinate is 12−x; all y-coordinates remain unchanged.
Two lines meet at a 155° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 4 cm at one location and 4 cm at another. Does this observation support the claim that their separation is constant?
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation.
Using the vertical reference line on the grid, draw a perpendicular through grid row 5 and another distinct parallel vertical line at least 2 grid spaces away. Label both.
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The horizontal makes 90° with the reference and the vertical has equal direction.
A rectangle has a side measuring 3 cm. State two defining angle or side properties of that type of quadrilateral.
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The class-specific properties do not depend on the scale of a drawing.
A pattern on a card has the shape of a scalene triangle. How many reflection-symmetry lines does it have?
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Scalene triangle figures have 0 exact fold axes.
Reflect vertices (2,1), (5,2), and (3,5) across x = 6. Give reflected points and draw the image.
Show answer and reasoning
For x=6, the reflected horizontal coordinate is 12−x; all y-coordinates remain unchanged.
Two lines meet at a 140° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 1 cm at one location and 1 cm at another. Does this observation support the claim that their separation is constant?
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation.
Using the vertical reference line on the grid, draw a perpendicular through grid row 6 and another distinct parallel vertical line at least 1 grid spaces away. Label both.
Show answer and reasoning
The horizontal makes 90° with the reference and the vertical has equal direction.
State two defining geometric properties of a parallelogram.
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Use side lengths, parallelism, and right angles—not appearance.
A folded shape has the shape of an equilateral triangle. How many reflection-symmetry lines does it have?
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Equilateral triangle figures have 3 exact fold axes.
Reflect vertices (1,1), (4,2), and (2,6) across x = 6. Give reflected points and draw the image.
Show answer and reasoning
For x=6, the reflected horizontal coordinate is 12−x; all y-coordinates remain unchanged.
An angle beside another makes 180°. If the first angle is 70°, find the neighbor and decide if the lines are perpendicular.
Show answer and reasoning
Adjacent angles total 180°. Both are right angles only when the first is 90°.
Two drawn straight lines have perpendicular separation 8 cm at one location and 8 cm at another. Does this observation support the claim that their separation is constant?
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation.
Draw a horizontal line at row 5 and explain whether it is perpendicular to the vertical red reference.
Show answer and reasoning
Vertical and horizontal grid lines form 90° angles.
State two defining geometric properties of a square.
Show answer and reasoning
Use side lengths, parallelism, and right angles—not appearance.
A paper cutout has the shape of a scalene triangle. How many reflection-symmetry lines does it have?
Show answer and reasoning
Scalene triangle figures have 0 exact fold axes.
Reflect vertices (2,2), (4,2), and (2,6) across x = 6. Give reflected points and draw the image.
Show answer and reasoning
For x=6, the reflected horizontal coordinate is 12−x; all y-coordinates remain unchanged.
Two lines meet at a 135° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 5 cm at one location and 5 cm at another. Does this observation support the claim that their separation is constant?
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation.
Construct a rectangle 6 grid spaces wide and 5 grid spaces high using parallel and perpendicular edges.
Show answer and reasoning
Opposite sides are parallel and adjacent sides meet at 90°.
A square has a side measuring 14 cm. State two defining angle or side properties of that type of quadrilateral.
Show answer and reasoning
The class-specific properties do not depend on the scale of a drawing.
A pattern on a card has the shape of a circle. How many reflection-symmetry lines does it have?
Show answer and reasoning
Circle figures have infinitely many exact fold axes.
Reflect vertices (2,2), (4,2), and (3,5) across x = 6. Give reflected points and draw the image.
Show answer and reasoning
For x=6, the reflected horizontal coordinate is 12−x; all y-coordinates remain unchanged.
An angle beside another makes 180°. If the first angle is 110°, find the neighbor and decide if the lines are perpendicular.
Show answer and reasoning
Adjacent angles total 180°. Both are right angles only when the first is 90°.
Two drawn straight lines have perpendicular separation 4 cm at one location and 8 cm at another. Does this observation support the claim that their separation is constant?
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation.
Two lines meet at a 145° angle. Are they perpendicular? Explain. Explain or sketch the mathematical relationship.
Show answer and reasoning
Only a 90° intersection is perpendicular. State which quantities or geometric properties justify the method.
Two drawn straight lines have perpendicular separation 5 cm at one location and 6 cm at another. Does this observation support the claim that their separation is constant? Explain or sketch the mathematical relationship.
Show answer and reasoning
Parallel lines must keep a constant perpendicular separation. State which quantities or geometric properties justify the method.
Construct a new vertical line 4 grid spaces right of the red vertical line. What is their relationship?
Show answer and reasoning
Both lines have the same vertical direction and stay a fixed distance apart.
Can a rectangle be a parallelogram? Justify. Explain or sketch the mathematical relationship.
Show answer and reasoning
Both opposite side pairs of the named shape are parallel. State which quantities or geometric properties justify the method.
A paper cutout has the shape of a non-square rectangle. How many reflection-symmetry lines does it have? Explain or sketch the mathematical relationship.
Show answer and reasoning
Non-square rectangle figures have 2 exact fold axes. State which quantities or geometric properties justify the method.
Reflect vertices (2,1), (5,3), and (3,5) across x = 6. Give reflected points and draw the image.
Show answer and reasoning
For x=6, the reflected horizontal coordinate is 12−x; all y-coordinates remain unchanged.