Answers Geometry - Semester 1 PathwaysCentroid and Orthocenter

Centroid and Orthocenter — Unit test Answers

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What mistakes did he make? Select two options.

He applied the reflection to the pre-image first.

He applied the rotation to the pre-image first.

He changed the size of the figure instead of just applying a rotation.

He used point P as the center of rotation.

He used an incorrect angle of rotation around point P.

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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.

Consider the diagram.

They lie in different planes and will never intersect.

They lie in the same plane but will never intersect.

They lie in different planes but will intersect if a plane is drawn to contain both lines.

They lie in different planes and will be parallel if a plane is drawn to contain both lines.

In the diagram, the length of segment TR can be represented by 5x – 4.

3 units

11 units

13 units

15 units

Which rules could describe the rotation? Select two options.

R0, 90°

R0, 180°

R0, 270°

(x, y) → (–y, x)

(x, y) → (y, –x)

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 triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees.

h = 1.5

h = 9

h = 10

h = 13.5

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)

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)

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, negative 5), (1, negative 2), (1, negative 5). Triangle A prime B prime C prime has points (5, 5), (1, 2), (1, 5). Triangle A double-prime B double-prime C double prime has points (negative 1, 3), (negative 5, 0), (negative 5, 3).