GEOM

What is the image of (-1, 1) after a dilation of 2?

(-2, 2)

DO, -½ of Y =

(-3/2, -1)

Rk Ry : (2, 5)

(-5, 2)

DO,1 of X is

(4, 0)

Ry Rk : (2, 5)

(5, -2)

Rp, 90 Ro, -90 : (-1,-1)

(6, -2)

DZ,2 of X is

(6, 2)

Using this figure, the image of A is ______.

A'

Find the distance A'B'

sqrt 10

The image of a point under DO, 3 is (7, 2). Its preimage is

(7/3, 2/3)

DO, 2 of X =

(8, 0)

DO, K = (6, 12) (3, 6)

1/2

If ∠B = 35°, then ∠B' = ______°.

35

The triangle ABC in the figure provided has midpoints labeled M and N and O. Ho Hm : B

C

Which of the following is not an isometry?

Dilation

An isometry does not preserve _____.

Orientation

Using this figuire, the transformation shown is a

Translation

The triangle ABC in the figure below has midpoints labeled M, N and O. HO HM : B

C

Which of the following does not describes a dilation?

isometry

Rx RO,90: (3,0)

(0, -3)

Ry Ho : (1,-2)

(1, 2)

Rx Do, 2 : (2,4)

(4, -8)

Which of the following are rigid motion transformations?

Rotation, reflection, translation

If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.

It is enough to show that two pairs of corresponding angles are congruent. It is enough to show that all three pairs of corresponding sides are in the same ratio.

Ry HO : (1, -2)

(1, 2)

A triangle has vertices at O(0, 0), A(1, 0), and B(0, 1). A dilation centered at (1, 0) is applied to the triangle. ___ of the sides lie on the same lines as their respective images

two

DO, -1/2 of Z is

(-1, 1)

Rx Rk : (2,5)

(-5, 2)

RO,180: (3, 0)

(-3, 0)

DO,-2(x, y)(3, 5).The point (x, y) is

(-3/2, -5/2)

The triangle ABC is dilated with respect to the point O(8, -3) and the scale factor 3 to a new triangle A'B'C'. What are the coordinates of B'?

(-4, -3)

For the transformation T, write the T-1. T: (x, y) ( 2x, y + 5)T -1 (x, y)

(½x, y - 5)

DO,K = (5, 0) (10, 0)The scale factor is

2

Use complete sentences to describe the transformation that maps ABCD onto its image.

The above movement is a demonstration of a translation, the image is remaining the same size just moving positions on the graph. In the above graph point A is moved from (0, 0) to (5, 2) at A', therefore, the translation being shown is an up 2 units and to the right five units, which can be shown as (x + 5, y + 2).

A triangle is reflected across the line x = 2. Which of the following is true?

The image and the pre-image are congruent.

The pentagon ABCDE is dilated to the image A'B'C'D'E' with the center of the dilation at the origin.

The scale factor of the dilation is 1/2 The line CDis not parallel to the line C'D' because CDpasses through the center of the dilation.

An isometry preserves

distance

Allison claims that the ABQ is similar to RPQ, given that AB and PR are parallel.

1 = 2 because they are vertically opposite angles.

Are the two figures congruent?

Yes, because they are reflections of each other.

What is the length of DD'?

sqrt 29

A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?

It is another line parallel to y = 3x + 5.

The angles of one triangle are in ratio x : 2x : 5x and the angles of another triangle are in the ratio x : 2x : 3x . The two triangles are not similarsimilar because at least one pair of corresponding angles are equaldifferent.

Not similar Different

Square EFGH has vertices: E = (-1,1), F = (-1,2), G = (-2,1), H = (-2, 2). In which quadrant will the image of vertex E' be if the square is rotated 270° clockwise about the origin O?

Quadrant iii

Rx: (2, 5)

(2, -5)

DO,2 of Y is

(6, 4)

T^3: (x, y)

(x + 9, y + 3)

Which transformation is a flipping of a plane about a fixed line?

reflection

Quadrilateral PQRS is mapped onto its image using which of the following sets of transformations?

reflection across x = -2; clockwise rotation of 90° about the origin

What are the coordinates for the origin of the coordinate plane?

(0, 0)

In a reflection along the x-axis a given coordinate (2, -1) transforms itself into which of the following?

(2, 1)

Rk Rx : (2, 5)

(5, -2)

The triangle ABC is dilated with respect to the point O(8, -3) and the scale factor 3 to a new triangle A'B'C'. What is the slope of the line segment A'C'?

1/7

Which of the following should Don use to prove the triangles are similar?

AA

The pentagon PQRST is transformed into P'Q'R'S'T' using which two transformations?

translation 3 units to left and 3 units down reflection across the x-axis

The rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. 3 =

E

The coordinates of a triangle are given as A(3, 2), B(-4, 1), C(-3, -2). What are the coordinates of the image after the triangle is reflected in the line y = x?

A' (2, 3) B' (1, -4) C' (-2, -3)

The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

A'(1, -5)

The triangle ABC in the figure below has midpoints labeled M and N and O. HM HO : C

B

Which of the following statements is true of a reflection? Select all that apply.

It is an isometry. The transformation is done over a line of reflection. it flips a plane about a fixed line

If a dilation is applied to a triangle, then the image must be _____.

a larger or smaller triangle.

An isometry is a transformation that preserves

distance

A product transformation _____.

finds the result of combining multiple transformations

Using the transformation T: (x, y) (x + 2, y + 1), find the distance named. Find the distance AB

sqrt 10

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. What is the length of AA' ?

sqrt 29

What is the length of BB' ?

sqrt 29

What is the length of CC' ?

sqrt 29

Find the distance AA'

sqrt 5

Find the distance BB'

sqrt 5

Find the distance CC'

sqrt 5

The key idea of the transformation called translation is _____.

the gliding or sliding of every point in the plane the same direction

The key idea of the transformation called a reflection is _____.

the object and its image have opposite orientations

The image of the point (1, -2) after a rotation of 180° about the origin is

(-1, 2)

A dilation maps (4, 6) to (2, 3).Under the same dilation, (-1,3) would be mapped to

(-1/2, 3/2)

Ry Rx : (2, 5)

(-2, -5)

In the graph below, line k, y = -x makes a 45° angle with the x- and y-axes. Rk: (2, 5)

(-5, -2)

Rk Ry : (2,5)

(-5, 2)

Rx Rk : (2, 5)

(-5, 2)

A polygon is reflected across a line. The angles in the original figure are compared to the corresponding angles in the image to see if they are congruent. Which factors does this depend upon?

None of these. They will always be congruent.

Q(0,0), U(0,4), A(4,4), D(4,0) After the square undergoes an isometric transformation, its new vertices are Q'(0,0), U'(4,0), A'(4,-4), and D'(0,-4). Which of the following options best describes the type of transformation that maps QUAD onto Q'U'A'D'?

Rotation

DO, -1/2 of X is

(-2, 0)

Ry: (2, 5)

(-2, 5)

DO, 3 of X =

(12, 0)