Lesson 5 Ex1 Graph a Rectangular Solid Graph the rectangular solid that contains the ordered triple A(–3, 1, 2) and the origin. Label the coordinates of each vertex. Plot the x-coordinate first. Draw a segment from the origin 3 units in the negative direction.
Lesson 5 Menu 1.Find the scale factor of the two pyramids.
2.Find the ratio of the surface areas of the two pyramids. 3.Find
the ratio of the volumes of the two pyramids. 4.If the scale factor
of two similar solids is 2:5, find the ratio of the volumes. Lesson
5 MI/Vocab ordered triple Graph solids in space. Use the Distance
and Midpoint Formulas for points in space. Lesson 5 Ex1 Graph a
Rectangular Solid Graph the rectangular solid that contains the
ordered triple A(3, 1, 2) and the origin. Label the coordinates of
each vertex. Plot the x-coordinate first. Draw a segment from the
origin 3 units in the negative direction. Lesson 5 Ex1 Graph a
Rectangular Solid Graph the rectangular solid that contains the
ordered triple A(3, 1, 2) and the origin. Label the coordinates of
each vertex. To plot the y-coordinate, draw a segment 1 unit in the
positive direction. Lesson 5 Ex1 Graph a Rectangular Solid Graph
the rectangular solid that contains the ordered triple A(3, 1, 2)
and the origin. Label the coordinates of each vertex. Next, to plot
the z-coordinate, draw a segment 2 units long in the positive
direction. Lesson 5 Ex1 Graph a Rectangular Solid Graph the
rectangular solid that contains the ordered triple A(3, 1, 2) and
the origin. Label the coordinates of each vertex. Label the
coordinate A. Lesson 5 Ex1 Graph a Rectangular Solid Graph the
rectangular solid that contains the ordered triple A(3, 1, 2) and
the origin. Label the coordinates of each vertex. Draw the
rectangular prism and label each vertex. Answer: A.A B.B C.C D.D
Lesson 5 CYP1 A.(2, 1, 3) B.(1, 2 3) C.(2, 3, 1) D.(1, 3, 2) In the
following diagram, what is the correct ordered triple for Point N?
Lesson 5 KC1 Lesson 5 KC2 Lesson 5 Ex2 Distance and Midpoint
Formulas in Space A. Determine the distance between F(4, 0, 0) and
G(2, 3, 1). Distance Formula in Space Substitution Simplify. Lesson
5 Ex2 Distance and Midpoint Formulas in Space B. Midpoint Formula
in Space Substitution Simplify. Lesson 5 CYP2 1.A 2.B 3.C 4.D A.
Determine the distance between A(0, 5, 0) and B(1, 2, 3). A. B. C.
D. Lesson 5 CYP2 1.A 2.B 3.C 4.D A. B. C. D. Lesson 5 Ex3
ARCHITECTURE Suppose a two-story home has a bathroom on the first
floor that is 9 feet wide, 6 feet deep, and 8 feet tall. Likewise,
a bathroom on the second floor, directly above the one on the first
floor, has the same dimensions. If the second floor is 10 feet
above the first floor, find the coordinates of each vertex of the
rectangular prism that represents the second-floor bathroom.
ExploreSince the bathroom is a rectangular prism, use positive
values for x, y, and z. Write the coordinates of each corner. The
points of the bathroom will rise 10 feet for the points of the
second-floor bathroom. Translating a Solid Lesson 5 Ex3 Solve
Translating a Solid Plan Use a translation equation (x, y, z) (x,
y, z + 10) to find the coordinates of each vertex of the
rectangular prism that represents the second-floor bathroom. Lesson
5 Ex3 Check Check that the distance between corresponding vertices
is 10 feet. Answer: (0, 0, 10); (0, 9, 10); (6, 9, 10); (6, 0, 10);
(0, 0, 18); (0, 9, 18); (6, 9, 18); (6, 0, 18) Translating a Solid
1.A 2.B 3.C 4.D Lesson 5 CYP3 A.(0, 0, 0); (0, 20, 0); (25, 20, 0);
(25, 0, 0); (0, 0, 12); (0, 20, 12); (25, 20, 12); (25, 0, 12)
B.(12, 0, 0); (12, 20, 0); (13, 20, 0); (13, 0, 0); (12, 0, 12);
(12, 20, 12); (13, 20, 12); (13, 0, 12) C.(0, 12, 0); (0, 8, 0);
(25, 8, 0); (25, 12, 0); (0, 12, 12); (0, 8, 12); (25, 8, 12); (25,
12, 12) D.(0, 0, 12); (0, 20, 12); (25, 20, 12); (25, 0, 12); (0,
0, 0); (0, 20, 0); (25, 20, 0); (25, 0, 0) Suppose a warehouse has
a room on the ground floor that is 20 feet wide, 25 feet long, and
12 feet tall. If the height of each floor is 12 feet, find the
coordinates of each vertex of the rectangular prism that represents
a room in the basement of the warehouse directly below the given
room. Lesson 5 Ex4 Reflections in Space Lesson 5 Ex4 Reflections in
Space Answer: The coordinates of the vertices are A (0, 0, 0), B
(0, 2, 0), C (1, 2, 0), D (1, 0, 0), E (1, 0, 1), F (0, 0, 1), G
(0, 2, 1),and H (1, 2, 1). A(0, 0, 0) A(0, 0, 0) B(0, 4, 0) B(0, 2,
0) C(2, 4, 0) C(1, 2, 0) D(2, 0, 0) D(1, 0, 0) E(2, 0, 2) E(1, 0,
1) F(0, 0, 2) F(0, 0, 1) G(0, 4, 2) G(0, 2, 1) H(2, 4, 2) H(1, 2,
1) Plot the coordinates of the vertices of the image. A.A B.B C.C
D.D Lesson 5 CYP4 A.(6, 5, 8) B.(6, 5, 8) C.(6, 5, 8) D.(3, 5, 8) A
sphere has a center point at P(6, 5, 8) and a radius of length 3
inches. If this sphere were reflected in the yz-plane, find the
coordinates of the image of P.
