Curriculum›4B›Chapter 16

Chapter 16: Practice examination

38 questions · 116 points

Independent exam: solutions are on a separate page; do not open until finished. Include units and explain reasoning. There is no mandatory time limit.
Question 1 · reasoning · 3 points

A parallelogram has a side measuring 13 cm. State two defining angle or side properties of that type of quadrilateral.

Question 2 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 3 cm at one location and 5 cm at another. Does this observation support the claim that their separation is constant?

Question 3 · reasoning · 3 points

A chalkboard diagram has the shape of a square. How many reflection-symmetry lines does it have? Explain or sketch the mathematical relationship.

Question 4 · reasoning · 3 points

Two lines meet at a 25° angle. Are they perpendicular? Explain.

25°
Question 5 · symmetry · 2 points

A tile design has the shape of a circle. How many reflection-symmetry lines does it have?

Question 6 · reasoning · 3 points

A rhombus has a side measuring 13 cm. State two defining angle or side properties of that type of quadrilateral.

Question 7 · reasoning · 3 points

A parallelogram has a side measuring 6 cm. State two defining angle or side properties of that type of quadrilateral. Explain or sketch the mathematical relationship.

Question 8 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 6 cm at one location and 8 cm at another. Does this observation support the claim that their separation is constant?

Question 9 · construction · 3 points

Reflect vertices (1,1), (5,3), and (2,5) across x = 6. Give reflected points and draw the image.

0246810121402468(1,1)(5,3)(2,5)x=6
Question 10 · symmetry · 2 points

A chalkboard diagram has the shape of a circle. How many reflection-symmetry lines does it have?

Question 11 · construction · 4 points

Reflect vertices (1,1), (4,3), and (2,7) across x = 6. Give reflected points and draw the image.

0246810121402468(1,1)(4,3)(2,7)x=6
Question 12 · symmetry · 2 points

A chalkboard diagram has the shape of an isosceles non-equilateral triangle. How many reflection-symmetry lines does it have?

Question 13 · reasoning · 3 points

Two lines meet at a 125° angle. Are they perpendicular? Explain.

125°
Question 14 · symmetry · 2 points

A folded shape has the shape of a non-square rectangle. How many reflection-symmetry lines does it have?

Question 15 · construction · 4 points

Draw a horizontal line at row 2 and explain whether it is perpendicular to the vertical red reference.

12345678Grid row 2
Question 16 · reasoning · 3 points

Can a square be a parallelogram? Justify.

Question 17 · construction · 4 points

Reflect vertices (2,2), (4,3), and (2,7) across x = 6. Give reflected points and draw the image.

0246810121402468(2,2)(4,3)(2,7)x=6
Question 18 · reasoning · 3 points

Two lines meet at a 35° angle. Are they perpendicular? Explain.

35°
Question 19 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 2 cm at one location and 3 cm at another. Does this observation support the claim that their separation is constant? Explain or sketch the mathematical relationship.

Question 20 · reasoning · 3 points

Two lines meet at a 115° angle. Are they perpendicular? Explain.

115°
Question 21 · construction · 4 points

Draw a horizontal line at row 7 and explain whether it is perpendicular to the vertical red reference.

12345678Grid row 7
Question 22 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 4 cm at one location and 5 cm at another. Does this observation support the claim that their separation is constant?

Question 23 · reasoning · 3 points

A rectangle has a side measuring 11 cm. State two defining angle or side properties of that type of quadrilateral.

Question 24 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 3 cm at one location and 4 cm at another. Does this observation support the claim that their separation is constant?

Question 25 · construction · 4 points

Using the vertical reference line on the grid, draw a perpendicular through grid row 4 and another distinct parallel vertical line at least 4 grid spaces away. Label both.

12345678Count grid rows from the top; row 4
Question 26 · construction · 4 points

Reflect vertices (1,2), (4,2), and (4,5) across x = 6. Give reflected points and draw the image.

0246810121402468(1,2)(4,2)(4,5)x=6
Question 27 · reasoning · 3 points

Two lines meet at a 60° angle. Are they perpendicular? Explain. Explain or sketch the mathematical relationship.

60°
Question 28 · construction · 3 points

Draw a line parallel to the red reference 1 grid spaces to its left, then a perpendicular at row 2.

12345678Grid row 2
Question 29 · reasoning · 3 points

Two lines meet at a 60° angle. Are they perpendicular? Explain.

60°
Question 30 · symmetry · 2 points

A paper cutout has the shape of a circle. How many reflection-symmetry lines does it have?

Question 31 · symmetry · 2 points

A tile design has the shape of an equilateral triangle. How many reflection-symmetry lines does it have?

Question 32 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 2 cm at one location and 3 cm at another. Does this observation support the claim that their separation is constant?

Question 33 · reasoning · 3 points

Two lines meet at a 55° angle. Are they perpendicular? Explain.

55°
Question 34 · construction · 4 points

Using the vertical reference line on the grid, draw a perpendicular through grid row 5 and another distinct parallel vertical line at least 1 grid spaces away. Label both.

12345678Count grid rows from the top; row 5
Question 35 · reasoning · 3 points

A rhombus has a side measuring 4 cm. State two defining angle or side properties of that type of quadrilateral.

Question 36 · construction · 4 points

Reflect vertices (2,2), (5,3), and (3,6) across x = 6. Give reflected points and draw the image.

0246810121402468(2,2)(5,3)(3,6)x=6
Question 37 · reasoning · 3 points

Must every parallelogram be a rectangle? Justify.

Question 38 · reasoning · 3 points

Two drawn straight lines have perpendicular separation 9 cm at one location and 9 cm at another. Does this observation support the claim that their separation is constant?