Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

Last updated about 3 years ago

7 questions

G.GMD.1

G.GMD.4

G.GMD.1

G.GMD.4

G.GMD.1

G.GMD.4

G.GMD.1

G.GMD.4

G.GMD.1

G.GMD.4

Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

Last updated about 3 years ago

7 questions

Draggable item		Corresponding Item

G.GMD.1

G.GMD.4

G.GMD.1

G.GMD.4

Draggable item		Corresponding Item

G.GMD.1

G.GMD.4

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? Explain how you know.

G.GMD.1

G.GMD.4

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

G.GMD.1

G.GMD.4

This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/3/index.html ; accessed 29/July/2021.

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

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

Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

Illustrative Mathematics - Geometry - Unit 5 - Lesson 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? Explain how you know.

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

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.

The horizontal cross sections of this figure are dilations of the bottom rectangle using a point above the rectangle as a center.
What scale factors of dilation are represented in the figure’s cross sections?

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? Explain how you know.

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

Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

Illustrative Mathematics - Geometry - Unit 5 - Lesson 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? Explain how you know.

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

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.

The horizontal cross sections of this figure are dilations of the bottom rectangle using a point above the rectangle as a center. What scale factors of dilation are represented in the figure’s cross sections?

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? Explain how you know.

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

The horizontal cross sections of this figure are dilations of the bottom rectangle using a point above the rectangle as a center.
What scale factors of dilation are represented in the figure’s cross sections?