Courses›4B›Chapter 16

Chapter 16 — Practice 1

18 original mixed questions

Practice earlier ideas together. Check answers only after you have completed an attempt.

Question 1 · reasoning

Two lines meet at a 30° angle. Are they perpendicular? Explain.

30°
Question 2 · reasoning

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?

Question 3 · construction

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.

12345678Count grid rows from the top; row 6
Question 4 · reasoning

State two defining geometric properties of a rhombus.

Question 5 · symmetry

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

Question 6 · construction

Reflect vertices (1,2), (5,2), and (2,7) across x = 6. Give reflected points and draw the image.

0246810121402468(1,2)(5,2)(2,7)x=6
Question 7 · reasoning

Two lines meet at a 110° angle. Are they perpendicular? Explain.

110°
Question 8 · reasoning

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?

Question 9 · construction

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.

12345678Count grid rows from the top; row 4
Question 10 · reasoning

State two defining geometric properties of a rectangle.

Question 11 · symmetry

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

Question 12 · construction

Reflect vertices (1,2), (4,3), and (3,5) across x = 6. Give reflected points and draw the image.

0246810121402468(1,2)(4,3)(3,5)x=6
Question 13 · reasoning

Two lines meet at a 85° angle. Are they perpendicular? Explain.

85°
Question 14 · reasoning

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?

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 4 grid spaces away. Label both.

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

Can a rhombus be a parallelogram? Justify.

Question 17 · symmetry

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

Question 18 · construction

Reflect vertices (2,1), (5,3), and (4,7) across x = 6. Give reflected points and draw the image.

0246810121402468(2,1)(5,3)(4,7)x=6