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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.

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Two parallel lines are crossed by a transversal.

m = 68

m = 78

m = 102

m = 112

Two parallel lines are crossed by a transversal.

g = 75

g = 80

g = 100

g = 105

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

3 units

11 units

13 units

15 units

Which diagram shows possible angle measures of a triangle?

A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.

A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.

A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.

a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.

In the diagram, DC is 10 units and BC is 6 units.

6 units

8 units

12 units

16 units

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.

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)

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.

Consider the two planes.

line a.

line b.

line d.

plane Q.

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)

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 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 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.

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