Courses›4B›Chapter 16

Chapter 16: Chapter review

38 questions · with revealable worked answers

This cumulative chapter review uses fresh questions. Attempt before revealing the reasoning.
Question 1 · reasoning

Two lines meet at a 80° angle. Are they perpendicular? Explain.

80°
Question 2 · reasoning

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?

Question 3 · construction

Draw a horizontal line at row 6 and explain whether it is perpendicular to the vertical red reference.

12345678Grid row 6
Question 4 · reasoning

Can a rectangle be a parallelogram? Justify.

Question 5 · symmetry

A pattern on a card has the shape of a square. How many reflection-symmetry lines does it have?

Question 6 · construction

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

0246810121402468(1,1)(5,3)(3,5)x=6
Question 7 · reasoning

Two lines meet at a 155° angle. Are they perpendicular? Explain.

155°
Question 8 · reasoning

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?

Question 9 · construction

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.

12345678Count grid rows from the top; row 5
Question 10 · reasoning

A rectangle has a side measuring 3 cm. State two defining angle or side properties of that type of quadrilateral.

Question 11 · symmetry

A pattern on a card has the shape of a scalene triangle. How many reflection-symmetry lines does it have?

Question 12 · construction

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

0246810121402468(2,1)(5,2)(3,5)x=6
Question 13 · reasoning

Two lines meet at a 140° angle. Are they perpendicular? Explain.

140°
Question 14 · reasoning

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?

Question 15 · construction

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.

12345678Count grid rows from the top; row 6
Question 16 · reasoning

State two defining geometric properties of a parallelogram.

Question 17 · symmetry

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

Question 18 · construction

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

0246810121402468(1,1)(4,2)(2,6)x=6
Question 19 · angle arithmetic

An angle beside another makes 180°. If the first angle is 70°, find the neighbor and decide if the lines are perpendicular.

Question 20 · reasoning

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?

Question 21 · construction

Draw a horizontal line at row 5 and explain whether it is perpendicular to the vertical red reference.

12345678Grid row 5
Question 22 · reasoning

State two defining geometric properties of a square.

Question 23 · symmetry

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

Question 24 · construction

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

0246810121402468(2,2)(4,2)(2,6)x=6
Question 25 · reasoning

Two lines meet at a 135° angle. Are they perpendicular? Explain.

135°
Question 26 · reasoning

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?

Question 27 · construction

Construct a rectangle 6 grid spaces wide and 5 grid spaces high using parallel and perpendicular edges.

12345678Blank grid with a reference vertical
Question 28 · reasoning

A square has a side measuring 14 cm. State two defining angle or side properties of that type of quadrilateral.

Question 29 · symmetry

A pattern on a card has the shape of a circle. How many reflection-symmetry lines does it have?

Question 30 · construction

Reflect vertices (2,2), (4,2), and (3,5) across x = 6. Give reflected points and draw the image.

0246810121402468(2,2)(4,2)(3,5)x=6
Question 31 · angle arithmetic

An angle beside another makes 180°. If the first angle is 110°, find the neighbor and decide if the lines are perpendicular.

Question 32 · reasoning

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?

Question 33 · reasoning

Two lines meet at a 145° angle. Are they perpendicular? Explain. Explain or sketch the mathematical relationship.

145°
Question 34 · reasoning

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.

Question 35 · construction

Construct a new vertical line 4 grid spaces right of the red vertical line. What is their relationship?

12345678Reference vertical line
Question 36 · reasoning

Can a rectangle be a parallelogram? Justify. Explain or sketch the mathematical relationship.

Question 37 · reasoning

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.

Question 38 · construction

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

0246810121402468(2,1)(5,3)(3,5)x=6