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Illustrative Mathematics - Geometry - Unit 6 - Lesson 1

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Last updated 2 months ago
6 Questions
1.

Reflect triangle ABC over the line x=-3.
Translate the image by the directed line segment from (0,0) to (4,1).

What are the coordinates of the vertices in the final image?

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2.

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment BC by 180 degrees.
Describe the result.

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3.

Triangle ABC has coordinates A=(1,3),B=(2,0) and C=(4,1) The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(-5,-3),B'=(-4,0), and C'=(-2,-1)

Write a sequence of transformations that takes triangle ABC to triangle A'B'C'.

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4.

Prove triangle ABC is congruent to triangle DEF.

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5.

The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s. Will a 1.17 gram diamond in the shape of a pyramid whose base has area 2 cm2 and whose height is 0.5 centimeters sink or float? Explain your reasoning.

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6.

This design began from the construction of an equilateral triangle.
Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.

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This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 1. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/1/index.html ; accessed 29/July/2021.

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