111.28.B.10.b Congruence and Transformations

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Grade 8

Mathematics

Texas Essential Knowledge and Skills (TEKS)

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Grade 8

Mathematics

Texas Essential Knowledge and Skills (TEKS)

8.10.B: Two-Dimensional Shapes

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- Q1Which representation of a transformation on a coordinate plane does NOT preserve congruence?(x,y) → (½ x , ½ y)(x,y)→ (-y , x)(x,y) → (x–5 , y + 6)(x,y) → (x , -y)300s8.10.B: Two-Dimensional Shapes
- Q2Which representation of a transformation on a coordinate plane does NOT preserve congruence?(x,y) → (x + 6 , y + 7)(x,y) → (4x , 4y)(x,y) → (-x , y)(x,y) → (-x , -y)300s8.10.B: Two-Dimensional Shapes
- Q3Which representation of a transformation on a coordinate plane preserves congruence?(x,y) → (⅓ x , ⅓ y)(x,y) → (x + 2 , y – 4)(x,y) → (4x , 4y)(x,y) → (5/3x , 5/3y)300s8.10.B: Two-Dimensional Shapes
- Q4A transformation is applied to create a new figure. Which transformation does NOT preserve congruence?A translation 3 units up and 4 units right.A rotation 90º clockwiseA reflection across the y-axis.A dilation by a scale factor of 3300s8.10.B: Two-Dimensional Shapes
- Q5A transformation is applied to create a new figure. Which transformation does NOT preserve congruence?A translation of 5 units to the left.A reflection across the x axis.A dilation by a scale factor of ¼A rotation of 270º counterclockwise.300s8.10.B: Two-Dimensional Shapes
- Q6Which transformation of the trapezoid will NOT result in a congruent figure?RotationDilationTranslationReflection300s8.10.B: Two-Dimensional Shapes
- Q7The diagram on the grid shows a pentagon. Which description correctly explains the effects of a dilation of the pentagon?A dilation will produce congruent figures because both figures will be pentagons.A dilation will produce congruent because the angles of the figures will be congruent.A dilation will not produce congruent figures because the figures will be different shapes.A dilation will not produce congruent figures because different sized figures cannot be congruent.300s8.10.B: Two-Dimensional Shapes
- Q8In order to produce a transformation that does not preserve congruence, the image must......change orientation....change quadrants....become larger or smaller than the pre-image....be the same shape as the pre-image.300s8.10.B: Two-Dimensional Shapes
- Q9In order to produce a transformation that preserves congruence......the transformation must have a scale factor not equal to 1....the image must be larger than the pre-image....the image must be smaller than the pre-image....the image must be the same size and the same shape as the pre-image.300s8.10.B: Two-Dimensional Shapes
- Q10Which of the following transformations does NOT preserve congruence?300s8.10.B: Two-Dimensional Shapes