Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

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Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

Last updated over 3 years ago

7 Nsɛmmisa

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 C		\frac{1}{4}
Dilation A		\frac{1}{2}
Dilation B		\frac{3}{4}

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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?

scale factors between 0 and \frac{1}{2}

scale factors between 0 and 1

scale factors between \frac{1}{4} and \frac{3}{4}

scale factors between \frac{1}{2} and 1

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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 1
diagonal		Figure 2
horizontal		Figure 3

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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.

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

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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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Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

Illustrative Mathematics - Geometry - Unit 5 - Lesson 3

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.

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?

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?