Geometry - Unit 5 - Lesson 3/4

Last updated 12 months ago

7 questions

Geometry - Unit 5 - Lesson 3/4

Last updated 12 months ago

7 questions

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Match the dilation with the scale factor used.

Draggable item		Corresponding Item
Dilation B		\frac{3}{4}
Dilation C		\frac{1}{4}
Dilation A		\frac{1}{2}

The pyramid of Khufu in Giza, Egypt was the
world's tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters. 

The diagram shows a cross section created by dilating the base using the top of the pyramid as a center of dilation. The cross section is at a height of 96 meters.

a. What scale factor was used to create the cross section? _______ 
b. What are the dimensions (length x width) of the cross section? _______ meters by _______ meters 

Imagine an upright cone with its base resting on your horizontal desk. Match each plane with the image of the cross section formed by intersecting the plane with the cone.

Draggable item		Corresponding Item
vertical, through cone's topmost point		Figure 2
diagonal		Figure 1
horizontal		Figure 3

What is the shape of the cross section formed by intersecting a cube with a vertical plane that passes through opposite edges of the cube?

Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.

A rope with a length of 4 meters is tied from a stake in the ground to the top of a tent. It forms a 20 degree angle with the ground. How tall is the tent? (Round your answer to the nearest tenth of a meter.

Geometry - Unit 5 - Lesson 3/4

Geometry - Unit 5 - Lesson 3/4

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Match the dilation with the scale factor used.

Imagine an upright cone with its base resting on your horizontal desk. Match each plane with the image of the cross section formed by intersecting the plane with the cone.

What is the shape of the cross section formed by intersecting a cube with a vertical plane that passes through opposite edges of the cube?

Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.

A rope with a length of 4 meters is tied from a stake in the ground to the top of a tent. It forms a 20 degree angle with the ground. How tall is the tent? (Round your answer to the nearest tenth of a meter.

Find the length of the side of the triangle labeled y.

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Match the dilation with the scale factor used.

Imagine an upright cone with its base resting on your horizontal desk. Match each plane with the image of the cross section formed by intersecting the plane with the cone.

What is the shape of the cross section formed by intersecting a cube with a vertical plane that passes through opposite edges of the cube?

Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.

A rope with a length of 4 meters is tied from a stake in the ground to the top of a tent. It forms a 20 degree angle with the ground. How tall is the tent? (Round your answer to the nearest tenth of a meter.

Find the length of the side of the triangle labeled y.