Copy of Geometry - Unit 5 - Lesson 2 (3/6/2025)

Last updated 12 months ago

7 questions

Copy of Geometry - Unit 5 - Lesson 2 (3/6/2025)

Last updated 12 months ago

7 questions

Question 1

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

triangular pyramid

square pyramid

cone

sphere

rectangular prism

cube

cylinder

Question 2

Here is a picture of a cone. Match the description
of each cross section with the picture.

Draggable item		Corresponding Item
horizontal plane
vertical plane not passing through the cone's topmost point
vertical plane passing through the cone's topmost point
diagonal plane

Question 3

Choose each figure for which a circle could be a cross section.

Question 4

A regular hexagon and a regular octagon are both inscribed in the same circle.
Which of these statements is true?

Pictured is a hexagon inscribed in a circle to help you think about this question.

The perimeter of the hexagon is less than the perimeter of the octagon, and each perimeter is less than the circumference of the circle.

The perimeter of the octagon is less than the perimeter of the hexagon, and each perimeter is less than the circumference of the circle.

The perimeter of the hexagon is greater than the perimeter of the octagon, and each perimeter is greater than the circumference of the circle.

The perimeter of the octagon is greater than the perimeter of the hexagon, and each perimeter is greater than the circumference of the circle.

All perimeters are the same since they could all start and end at the same place.

Question 5

Find the perimeter of ABCE.

(Hint: Place point D so that ABCD is a rectangle. You can then use trigonometry to find AE and DE. Round your answers to the nearest tenth.)

Question 6

Match each trigonometric function to a ratio. You may use ratios more than once.

tan(A)
sin(A)
sin(B)
cos(A)
tan(B)
cos(B)

\frac{y}{z}
\frac{x}{z}
\frac{x}{y}
\frac{y}{x}

Question 7

Explain how you know lines m and l are parallel.

Question 1

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

triangular pyramid

square pyramid

cone

sphere

rectangular prism

cube

cylinder

Question 2

Here is a picture of a cone. Match the description
of each cross section with the picture.

Draggable item		Corresponding Item
horizontal plane
vertical plane not passing through the cone's topmost point
vertical plane passing through the cone's topmost point
diagonal plane

Question 3

Choose each figure for which a circle could be a cross section.

Question 4

A regular hexagon and a regular octagon are both inscribed in the same circle.
Which of these statements is true?

Pictured is a hexagon inscribed in a circle to help you think about this question.

The perimeter of the hexagon is less than the perimeter of the octagon, and each perimeter is less than the circumference of the circle.

The perimeter of the octagon is less than the perimeter of the hexagon, and each perimeter is less than the circumference of the circle.

The perimeter of the hexagon is greater than the perimeter of the octagon, and each perimeter is greater than the circumference of the circle.

The perimeter of the octagon is greater than the perimeter of the hexagon, and each perimeter is greater than the circumference of the circle.

All perimeters are the same since they could all start and end at the same place.

Question 5

Find the perimeter of ABCE.

(Hint: Place point D so that ABCD is a rectangle. You can then use trigonometry to find AE and DE. Round your answers to the nearest tenth.)

Question 6

Match each trigonometric function to a ratio. You may use ratios more than once.

tan(A)
sin(A)
sin(B)
cos(A)
tan(B)
cos(B)

\frac{y}{z}
\frac{x}{z}
\frac{x}{y}
\frac{y}{x}

Question 7

Copy of Geometry - Unit 5 - Lesson 2 (3/6/2025)

Copy of Geometry - Unit 5 - Lesson 2 (3/6/2025)

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

Here is a picture of a cone. Match the descriptionof each cross section with the picture.

Choose each figure for which a circle could be a cross section.

A regular hexagon and a regular octagon are both inscribed in the same circle. Which of these statements is true?Pictured is a hexagon inscribed in a circle to help you think about this question.

Find the perimeter of ABCE.(Hint: Place point D so that ABCD is a rectangle. You can then use trigonometry to find AE and DE. Round your answers to the nearest tenth.)

Match each trigonometric function to a ratio. You may use ratios more than once.

Explain how you know lines m and l are parallel.

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

Here is a picture of a cone. Match the descriptionof each cross section with the picture.

Choose each figure for which a circle could be a cross section.

A regular hexagon and a regular octagon are both inscribed in the same circle. Which of these statements is true?Pictured is a hexagon inscribed in a circle to help you think about this question.

Find the perimeter of ABCE.(Hint: Place point D so that ABCD is a rectangle. You can then use trigonometry to find AE and DE. Round your answers to the nearest tenth.)

Match each trigonometric function to a ratio. You may use ratios more than once.

Explain how you know lines m and l are parallel.

Here is a picture of a cone. Match the description
of each cross section with the picture.

A regular hexagon and a regular octagon are both inscribed in the same circle.
Which of these statements is true?

Pictured is a hexagon inscribed in a circle to help you think about this question.

Find the perimeter of ABCE.

(Hint: Place point D so that ABCD is a rectangle. You can then use trigonometry to find AE and DE. Round your answers to the nearest tenth.)

Here is a picture of a cone. Match the description
of each cross section with the picture.

A regular hexagon and a regular octagon are both inscribed in the same circle.
Which of these statements is true?

Pictured is a hexagon inscribed in a circle to help you think about this question.

Find the perimeter of ABCE.

(Hint: Place point D so that ABCD is a rectangle. You can then use trigonometry to find AE and DE. Round your answers to the nearest tenth.)