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**Geometry Mini-Lesson 139 meters 150 meters 174 meters 189 meters**

An observer standing near a shoreline sees a ship. Given the measurements shown in the figure, how far is the ship from the shoreline, to the nearest meter? 139 meters 150 meters 174 meters 189 meters MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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**Geometry Mini-Lesson 10 meters 20 meters 40 meters 60 meters**

Anderson Pipe Company wants to know the distance from point A to point B across the river near their office building. They made the measurements shown in the diagram below. What is the distance across the river, in meters? 10 meters 20 meters 40 meters 60 meters MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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**Geometry Mini-Lesson 175 m 200 m 262 m 434 m**

Anita wanted to know the distance across a ravine. She constructed ΔOPQ similar to ΔOXY. She measured OP, OX, and XY and recorded the distances as shown. What is the length of PQ ? 175 m 200 m 262 m 434 m MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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Geometry Mini-Lesson MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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Geometry Mini-Lesson MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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Geometry Mini-Lesson Which of the following must be true in order to make a true statement? MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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**Geometry Mini-Lesson 1 square unit 2 square units 4 square units**

The side length of square ABCD is 1 unit. Its diagonal, AC, is a side of square ACEF. Square ACEF is then enlarged by a scale factor of 2. What is the area of the enlargement, in square units? 1 square unit 2 square units 4 square units 8 square units MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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**Geometry Mini-Lesson A B D C**

Which of the triangles is an equilateral triangle? A B D C MA.912.G.2.: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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**Geometry Mini-Lesson 127 m 210 m 303 m 348 m**

Greg wanted to know the distance across a pond. He constructed ΔDEF similar to ΔDGH. He measured DE, DG, and GH and recorded the distances as shown. What is the length of EF? 127 m 210 m 303 m 348 m MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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Geometry Mini-Lesson Given ΔABC and DE is parallel to AC, which of the following is true? MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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Geometry Mini-Lesson Which correctly explains why triangle ABC is similar to triangle EDC? MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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Geometry Mini-Lesson Given ΔABC and is parallel to , what is the length of ? MA.912.G.2.3: Use Properties of congruent and similar polygons to solve mathematical or real-world problems.

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EXAMPLE 2 Find the scale factor Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor of ZYXW.

EXAMPLE 2 Find the scale factor Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor of ZYXW.

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