Questions

Graphing Points in Quadrant I

State the term that matches the given description for the first six questions.

1) the components of an ordered pair

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

2) a pair of numbers that represent a location on a grid

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

3) the point where the x-axis and the y-axis intersect in the coordinate plane

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

4) a numbered grid system that has a horizontal number line and a vertical number line that are perpendicular to each other and meet at the origin

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

5) the four regions of the coordinate plane

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

6) the plural of axis

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

Graphing Points in Quadrants II, III, and IV

7) In the figure below, determine the coordinates of each of the named points. (a) What are the coordinates of point A? (b) What are the coordinates of point B? (c) What are the coordinates of point C? (d) What are the coordinates of point D? (e) What are the coordinates of point E? (f) What are the coordinates of point F?

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

A rectangle is shown in the figure below. The upper right vertex is located at (6, 8) and the lower left vertex is located at (–10, –4). Based on the given points, determine the ordered pairs for points A, B, C, D, E, and F, and then answer the next two questions.

8) Answer the following questions: (a) What are the coordinates of point A? (b) What are the coordinates of point B? (c) What are the coordinates of point C?

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

9) Answer the following questions: (a) What are the coordinates of point D? (b) What are the coordinates of point E? (c) What are the coordinates of point F?

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

10) A rectangle is plotted in the coordinate plane. The vertices (corners) of the rectangle are given as A(–2,3), B(4,3); C(–2, –2) and D(x,y). What is the ordered pair for point D?

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

Refer to the figure below to answer the next four questions. In this set of questions, you will be guided in making two translations of the rectangular figure. When a figure is translated, it is moved to another location on the grid. You may want to print this picture before beginning the exercise. (Right-click on the figure and select “Print Picture”.)

11) Write the ordered pairs for point P, point Q, point S, and point R. Write the letter, and then the ordered pair. For example: P(1,2).

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

Activity: Translate Rectangle PQRS by moving the rectangle 3 units to the left and two units down. (This means to move each of the vertices of the rectangle 3 units to the left and two units down, and then redraw the rectangle.) Name this rectangle P’Q’R’S’. (Note P’Q’R’S’ is a way to denote a new rectangle translated from an original rectangle and is read P-primed, Q-primed, R-primed, S-primed.)

12) What are the coordinates of the vertices of the new rectangle’s location? (When stating the ordered pairs of each vertex, use the new notation for the points. Example: use P’ to denote the upper left vertex of the new rectangle).

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

Activity: Translate Rectangle P’Q’R’S’ by moving this rectangle 4 units to the right and one unit up. Denote the new rectangle as P’’Q’’R’’S’’. (This notation is used to denote that the figure has been translated a second time and is read P double-primed, Q double-primed, R double-primed, S double-primed.)

13) What are the coordinates of the vertices of the new rectangle (P”Q”R”S”)?

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

14) Describe the translation that would occur if rectangle PQRS was moved DIRECTLY to rectangle P’’Q’’R’’S’’ (in other words, no middle step)?

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

Ruler Postulate and Segment Addition

State the term that matches the given description for the next three questions.

15) line segments that measure the same length

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

16) a number's distance from zero on the number line

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

17) In mathematics, the symbol below represents what?

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

Refer to the figure below to answer the next four questions.

18) What is the length of segment EB?

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

19) What is the length of segment AD?

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

20) What is the length of segment GB?

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

21) State two segments that are congruent to segment FB.

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

22) Use the figure below to help solve the following problem: The length of segment TV is 75 and point U is a point on segment TV between points T and V. What are the lengths of segments TU and UV if the length of segment TU is “4x – 10” and the length of segment UV is “2x + 7”? Check your answers to make sure the length of the two segments total the length of TV (75).

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

23) Draw a figure to solve the following problem: Segments PO and OM are located on line PM. Point O is between points P and M. The length of segment PM is 110. What are the lengths of segments PO and OM if the length of segment PO is “7y +12” and the length of segment OM is “3y – 8”? Check your answers.

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

24) Refer to the figure below to solve the following problem: Point E is a point on segment DF between points D and F. The length of segment EF is 6. What are the lengths of segments DE and DF if the length of segment DE is “5x +13” and the length of segment DF is “7x -25”? Check your answers.

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

25) Draw a figure to solve the following problem: Segments SU and UV are located on line SV. Point U is between points S and V. The length of segment SU is 8. What are the lengths of segments UV and SV if the length of segment UV is “(2/3)x – 5” and the length of segment SV is “(1/3)x + 17”? Check your answers.

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

Pythagorean Theorem and Distance Formula

State the term that matches the given description for the next three questions.

26) a mathematical statement that must be proven before it is accepted as being true

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

27) a relationship between the three sides of a right triangle such that the sum of the squares of the two legs of the right triangle equals the square of the hypotenuse (the side of the triangle that is opposite the right angle)

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

28) In mathematics, the symbol below represents what?

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

29) What is the length of the hypotenuse (c)? Label the answer correctly.

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

30) What is the length of “a” (leg)? Label the answer correctly.

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

31) Draw a picture to solve the following problem: Find the hypotenuse of a right isosceles triangle that has each congruent side measuring 7 centimeters in length. Label the answer correctly and round to the nearest tenth.

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

32) Use the dimensions shown in the picture below to find the height of the building (x). Round the answer to the nearest tenth.

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

The development of the distance formula is examined closely in the next three questions. Refer to the figure below to answer the questions. State the letter of the correct answer.

33) The length of segment BC is:

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

34) The length of segment CA is:

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

35) Use the Pythagorean Theorem to determine the length of “d” in terms of the change in the coordinates. Which statement correctly portrays the development of the distance formula?

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

In the next three problems, refer to the figure below and use the distance formula to find the distance between the given points. Each space in the grid represents one unit. Round the answers to the nearest tenth. You may want to print this figure before beginning the exercise. (Right-click on the figure and select “Print Picture”.)

36) What is the distance between points E and B?

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

37) What is the distance between points B and D?

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

38) What is the distance between points A and F?

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

The Midpoint Formulas

State the term that matches the given description for the next two questions.

39) the point that is halfway between two end points of a line segment

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

40) In mathematics, the symbol below represents what?

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

Refer to the figure below to answer the next three questions.

41) What is the midpoint between points F and B? (Hint: Use the midpoint formula.)

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

42) What is the midpoint between points A and D?

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

43) What is the midpoint between points K and G?

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

Refer to the coordinate system below and use the midpoint formula to solve the next three problems. Each space in the grid represents one unit.

44) State the ordered pair of the midpoint of segment DE.

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

45) State the ordered pair of the midpoint of segment EF.

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

46) State the ordered pair of the midpoint of segment FG.

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

47) In the figure below, point S is the midpoint of segment RT. What are the coordinates of point T?

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

48) 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