Chapter 16 — Practice 1
18 original mixed questions
Practice earlier ideas together. Check answers only after you have completed an attempt.
Two lines meet at a 30° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 7 cm at one location and 7 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 2 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 rhombus.
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Use side lengths, parallelism, and right angles—not appearance.
A paper cutout 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 (1,2), (5,2), and (2,7) 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 110° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 2 cm at one location and 2 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 4 and another distinct parallel vertical line at least 3 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 rectangle.
Show answer and reasoning
Use side lengths, parallelism, and right angles—not appearance.
A folded shape has the shape of an isosceles non-equilateral triangle. How many reflection-symmetry lines does it have?
Show answer and reasoning
Isosceles non-equilateral triangle figures have 1 exact fold axes.
Reflect vertices (1,2), (4,3), 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 85° angle. Are they perpendicular? Explain.
Show answer and reasoning
Only a 90° intersection is perpendicular.
Two drawn straight lines have perpendicular separation 3 cm at one location and 3 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 4 grid spaces away. Label both.
Show answer and reasoning
The horizontal makes 90° with the reference and the vertical has equal direction.
Can a rhombus be a parallelogram? Justify.
Show answer and reasoning
Both opposite side pairs of the named shape are parallel.
A folded shape 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 (2,1), (5,3), and (4,7) 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.