Questions

1) What is the ordered pair for point E in rectangle CDEF in terms of “a” and/or “b”?

250 character(s) left
Your answer is too long.

2) What is the ordered pair for point H in parallelogram GHIJ?

a.) (a, c)

b.) (a + c, b)

c.) (a – c, b)

d.) (a, 0)

3) What is the ordered pair for point V in isosceles trapezoid TUXY?

a.) (a, c)

b.) (a + c, b)

c.) (c – a, b)

d.) (c – a, 0)

4) Read and study the information and the figure shown below to answer the following questions: (a) What is the ordered pair for midpoint M? (b) In terms of “a” and “b”, what is the length of segment MQ? (c) In terms of “a” and “b”, what is the length of segment MR? (d) In terms of “a” and “b”, what is the length of segment MS?

4000 character(s) left
Your answer is too long.

5) Based on the information collected in the previous problem, justify the following statement: “The midpoint of the hypotenuse of a right triangle is the center of a circle circumscribed about it”.

20000 character(s) left
Your answer is too long.

Attachments

There are no attachments

Attach a File

6) Answer the following questions: (a) What are the coordinates of point M? (b) What are the coordinates of point N? (c) What is the slope of segment BC? (d) What is the slope of segment MN? (e) What is the slope of segment AD?

4000 character(s) left
Your answer is too long.

7) Use the information collected in the previous problem to justify the following statement: “The segment formed by the midpoints of the nonparallel sides is parallel to the bases of the trapezoid”.

4000 character(s) left
Your answer is too long.

8) What is the term used to indicate a one-to-one correspondence between the points that make up a transformation from a pre-image to an image?

250 character(s) left
Your answer is too long.

9) True or False. Points A and L are corresponding vertices, points B and M are corresponding vertices, points C and N are corresponding vertices, and points D and O are corresponding vertices.

True

False

10) Which statement is a symbolic statement of a translation that indicates triangle JKL is the pre-image? State the letter of the correct answer.

250 character(s) left
Your answer is too long.

11) Fill in the blanks for the following statements about the mapping shown below: (a) Point H maps onto point _____. (b) Point I maps onto point _____. (c) Point J maps onto point _____. (d) Point K maps onto point _____.

250 character(s) left
Your answer is too long.

12) What is the pre-image of angle RSQ shown in the figure below? State the letter of the correct answer.

250 character(s) left
Your answer is too long.

13) Fill in the blank: A transformation that maps every segment in a plane to a congruent segment is a(n) _________.

250 character(s) left
Your answer is too long.

14) What are the lengths of (a) QR and DE, (b) TS and GF, (c) RS and EF, and (d) QT and DG?

4000 character(s) left
Your answer is too long.

15) True or False: The mapping of parallelogram QRST to parallelogram DEFG is an isometry.

True

False

16) Which image is the isometric image of trapezoid ABCD? State the letter of the correct answer.

250 character(s) left
Your answer is too long.

17) Which ratio(s) simplifies to 1/2?

a.) CD : JK

b.) DE : KL

c.) CE : JL

d.) all of the above

18) True or False: The mapping shown below is a similarity transformation.

True

False

19) The figure below shows segment JK as a reflection of segment CD over the y-axis. The five points that are enlarged on each segment are corresponding points. Print out and complete each table by filling in the coordinates for the five designated points. Compare the x-coordinate and y-coordinate of the points on segment CD (pre-image) with the x-coordinate and y-coordinate of the points on segment JK (image). Complete the following rule that would pertain to all reflections over the y-axis: For images reflected over the y-axis, if the pre-image coordinates are designated as (x, y), then the image of (x, y) is (____, ____).

250 character(s) left
Your answer is too long.

20) True or False: The transformation shown below is a translation.

True

False

21) In the figure below, pre-image ABCD is translated to image A'B'C'D'. Which statement reflects the notation in the coordinate plane? State the letter of the correct answer.

250 character(s) left
Your answer is too long.

22) Which notation describes the translation of the sailboat B(70, 20) to the lighthouse B'(10, 80) as a change in (x, y)?

a.) (x, y) ==> (x + 60, y – 60)

b.) (x, y) ==> (x – 60, y + 60)

c.) (x, y) ==> (x – 60, y – 60)

d.) (x, y) ==> (x + 60, y + 60)

23) The vertices of a quadrilateral are J(–4, 0), K(–2, 5), L(1, 1), M(–2, –2). Print out the figure of the pre-image shown below and graph the translation naming the image, J’K’L’M’. What are the coordinates of each of the new vertices of the image?

4000 character(s) left
Your answer is too long.

24) True or False: The transformation shown below is a reflection.

True

False

25) Identify the line of reflection in the figure shown below?

250 character(s) left
Your answer is too long.

26) Answer the following questions about the reflection shown below: (a) Point B is a reflection of point _____. (b) Point J is a reflection of point _____. (c) Angle ABC is a reflection of angle ____ over line “l”.

250 character(s) left
Your answer is too long.

27) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line segment over the x-axis. (a) State the coordinates of the image of the endpoints of segment C'D'. (b) Write a rule that would pertain to all points reflected over the x-axis.

4000 character(s) left
Your answer is too long.

28) Reflect point C over the line, y = –2, and name it point C’. Reflect point C’ over the line, y = 2, and name it point C’’. What is the location of C’’?

a.) C’’(3, 0)

b.) C’’(3, 2)

c.) C’’(3, 4)

d.) C’’(3, 6)

29) Which parts of the kite are symmetrical? Select the BEST answer.

a.) top right triangles of the kite

b.) bottom right triangles of the kite

c.) the triangles that represent the bows

d.) all of the above

30) In reflection symmetry, a “point of symmetry” is a midpoint for all segments that pass through it and have endpoints on a figure. Which figure does NOT display a “point of symmetry” in reflection symmetry?

250 character(s) left
Your answer is too long.

31) True or False: The transformation shown below is a rotation.

True

False

32) In the figure below, pre-image trapezoid Z is rotated about point X to image trapezoid Z’. Rotations can be derived from two reflections. Explain how this same transformation can be made by completing two reflections. A faint dotted trapezoid is provided to help with the explanation.

4000 character(s) left
Your answer is too long.

Attachments

There are no attachments

Attach a File

33) In the figure shown below, a 70-degree angle is formed by lines “s” and “t”, the lines of reflection. What is the angle of rotation that transformed pre-image R to image R’ around point Q.

a.) 35 degrees

b.) 70 degrees

c.) 105 degrees

d.) 140 degrees

e.) 175 degrees

34) Draw quadrilateral ABCD with vertices of A(–4, 0), B(–4, 4), C(–2, 3), and D(–2, –1). Rotate the quadrilateral 90 degrees clockwise around the origin and draw quadrilateral A’B’C’D’. What are the coordinates of each of the vertices in image A’B’C’D’? State the name of each vertex and the corresponding coordinates.

4000 character(s) left
Your answer is too long.

35) Describe how to create Figure 2 from Figure 1.

4000 character(s) left
Your answer is too long.

Attachments

There are no attachments

Attach a File

36) In the figure below, segment JK is a dilation of segment GH with respect to point Q as the center of dilation and a scale factor of 1/2. State the letter of the correct statements about the figure.

250 character(s) left
Your answer is too long.

37) In the figure below, hexagon A'B'C'D'E'F’ is the image of ABCDEF after a dilation. What is the scale factor?

a.) 1

b.) 2

c.) 3

d.) 4

38) In the figure below, triangle RST is a dilation of triangle JKL with the center of dilation at point P. What is the scale factor?

250 character(s) left
Your answer is too long.

39) Compare the lengths of the image (larger picture) and its dilation (smaller picture). What is the scale factor?

a.) 1/2

b.) 1/3

c.) 2/3

d.) 3/4

40) The vertices of four-point star ABCD are A(–2, 0), B(–4, 2.5), C(–2, 5), and D(0, 2.5). Find and write the coordinates of the vertices of image, A’B’C’D', after a dilation of a scale factor, k = 2, with respect to the origin as the center of dilation.

4000 character(s) left
Your answer is too long.

41) Dilate parallelogram PQRS by a scale factor of 0.6 with point P as the center of dilation. The length of segment RS is 4.8 cm and the length of segment QR is 10.8 cm. P and P' are the same point. (a) What is the length of PQ’? (b) What is the length of S’R’? (c) What is the length of Q’R’? (d) What is the length of PS’?

4000 character(s) left
Your answer is too long.

42) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form.

No offline activities found

0 Hour(s) & 0 Minute(s)

If you are NOT required to complete Offline Activities for this course, please check the box below.

I do not have any Offline Activities for this unit.

Attachments

There are no attachments

Attach a File