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Module 2: Assessment - Rigid Motion and Congruent Figures

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Posljednje ažuriranje 5 months ago
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Module 2 Review - Eureka Math^2

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Pitanje 1
1.

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Box your final answers.

△QRS is graphed in the coordinate plane.

Triangle QRS is graphed in the coordinate plane. It is a right triangle located in the first quadrant near the y-axis.

△Q'R'S' is the image of △QRS under a reflection across the y-axis. Identify the location of R' after the reflection.

Pitanje 2
2.

Box your final answers.

Lines ℓ, m, and n are parallel and cut by transversal p.

Find the values of x and y.

Diagram of lines l, m, and n, which are parallel and cut by transversal p. The angles are labeled 108 degrees, (3x-6) degrees, and (2y) degrees.

The value of x is _____ .

The value of y is _____ .

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Pitanje 3
3.

Figure $ABCD$, $\overrightarrow{PQ}$, and line $m$ are shown in the diagram. Figure ABCD, line PQ, and line m with instructions for reflection and translation indicating the figure's image under rigid motions.

Figure $A'B'C'D'$ is the image of figure $ABCD$ under the following sequence of rigid motions.

  • Translation along $PQ$

  • Reflection across line $m$.

Which diagram shows figure $ABCD$ and its correct image, figure $A'B'C'D'$?

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Pitanje 4
4.

Figure JKLMN is congruent to figure STUVW.
Image showing two congruent polygons on a coordinate grid and a question about describing a sequence of rigid motions.
Describe a sequence of rigid motions that maps figure JKLMN onto figure STUVW.
Write one rigid motion on each line from the given answer choices.

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△ABC, △FGH, and △JKL are shown in the coordinate plane.Image showing triangles ABC, FGH, and JKL on a coordinate plane with a question asking if triangle ABC is congruent to triangle FGH.

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2
Pitanje 7
7.

Is △ABC congruent to △FGH? Explain.

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2
Pitanje 8
8.

Is △FGH congruent to △JKL? Explain.

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Pitanje 9
9.

The distance between Vega and Deneb is 6 centimeters. The distance between Deneb and Altair is 11 centimeters. What is the distance between Vega and Altair on the star map? Round your answer to the nearest tenth.Star map showing a triangle with vertices labeled Vega, Deneb, and Altair, with side lengths 6 cm and 11 cm, and a question asking for the distance between Vega and Altair.

Pitanje 5
5.

Answer Choices

Pitanje 6
6.

The measures of $\angle G$ and $\angle H$ in $\triangle FGH$ are shown.
Image showing triangle FGH with angles given and a question asking for the value of x.
What is the value of $x$?