Answers CA-Common Core Geometry DVHS Sem. 1Symmetry

Symmetry — Unit test Answers

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60°

90°

180°

360°

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A point has the coordinates (m, 0) and m ≠ 0.Which reflection of the point will produce an image located at (0, –m)?

a reflection of the point across the x-axis

a reflection of the point across the y-axis

a reflection of the point across the line y = x

a reflection of the point across the line y = –x

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.

Which points are vertices of the pre-image, rectangle ABCD? Select four options.

(–1, –2)

(7, 1)

(–1, 7)

(–1, 1)

(7, –2)

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)

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 rules could describe the rotation? Select two options.

R0, 90°

R0, 180°

R0, 270°

(x, y) → (–y, x)

(x, y) → (y, –x)

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.

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 QRS is transformed as shown on the graph.

R0, 90°

R0, 180°

R0, 270°

R0, 360°

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

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)

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.

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.

A regular decagon has 10 sides.

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Symmetry — Unit test Answers

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