Answers CA-Common Core Geometry DVHS Sem. 1Symmetry

Symmetry — Unit test Answers

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Which statement describes the order of rotational symmetry for an isosceles triangle?

An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.

An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.

An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.

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A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

T1, –9(x, y)

T–1, –9(x, y)

T–9, 1(x, y)

T–9, –1(x, y)

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

A rectangle is folded diagonally on both corners.

A rectangle is folded by a vertical and horizontal line going through its center.

A rectangle is folded 4 ways. It is folded horizontally, vertically, and diagonally on both corners.

A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

T4, –4(x, y)

T–4, –4(x, y)

T2, –4(x, y)

T–2, –4(x, y)

On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 2, 3), (negative 2, 6), (negative 1, 6), and (negative 1, 4). Trapezoid B is reflected in quadrant 2. Trapezoid C is reflected across the y-axis. Trapezoid D is reflected into quadrant 4. Trapezoid A is reflected across the x-axis.

figure A

figure B

figure C

figure D

Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.

The rule for the translation can be written as T–3, 1(x, y).

The rule for the translation can be written as T–1, 3(x, y).

The rule for the translation can be written as(x, y) → (x + 1, y – 3).

The rule for the translation can be written as(x, y) → (x – 3, y + 1).

Trapezoid ABCD has been translated 3 units to the right and 1 unit up.

Question text not available

60°

90°

180°

360°

Triangle DEF was tranformed to create triangle D'E'F'. Complete the statement about the transformation.

point D.

point E'.

point F.

point E.

On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2).

(–4, 3)

(4, –3)

(–3, –4)

(3, 4)

On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).

rx-axis(x, y) → (–x, y)

ry-axis(x, y) → (–x, y)

rx-axis(x, y) → (x, –y)

ry-axis(x, y) → (x, –y)

Triangle ABC was transformed to create triangle DEF.

corresponds to because they are about the same length.

corresponds to because they are in the same position.

corresponds to because the transformation is isometric.

corresponds to because the length is not preserved.

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.

Angle

A transformation of ΔDEF results in ΔD'E'F'.

The transformation is a dilation.

The transformation is a reflection.

The transformation is a rotation.

The transformation is a translation.

A regular decagon has 10 sides.

On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1).

Correct. He transformed the triangle according to the rule (x, y) → (–y, x).

Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x)

Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x)

Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)

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Symmetry — Unit test Answers

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