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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Determine(a) The area.(b) The circumference of the circle.Use the π key on your calculator and round your answer to the nearest hundredth. 13 mm
Determine(a) The area.(b) The circumference of the circle.Use the π key on your calculator and round your answer to the nearest hundredth. 7 cm
Determine (a) The area. (b) The perimeter of the quadrilateral. 16 in. 12 in. 13 in. 13 in. 6 in.
Determine (a) The area. (b) The perimeter of the quadrilateral. 5 in. 25 in. 25 in. | 2 ft 19 in.
Determine (a) The area. (b) The perimeter of the quadrilateral. 16 in. 8 in. 13 in.
Determine (a) The area. (b) The perimeter of the quadrilateral. 27 cm 20 cm 3 m
Determine (a) The area. (b) The perimeter of the quadrilateral. 2 yd 6 ft
Determine (a) The area. (b) The perimeter of the quadrilateral. 4 ft 8 ft
Determine the area of the triangle. 3 yd 1 ft
Determine the area of the triangle. 50 cm
Determine the area of the triangle. 2 m 3
Determine the area of the triangle. 5 cm| E7 cm
Fill in the blanks with an appropriate word, phrase, or symbol(s).(a) A line segment from the center of a circle to any point on the circle is called the _________ of the circle.(b) A line segment
Fill in the blanks with an appropriate word, phrase, or symbol(s).A set of points equidistant from a fixed point is called a(n) _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In a right triangle, the side that is opposite the right angle is called the _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).(a) The sum of the lengths of the sides of a two-dimensional figure is called the _________ of the figure.(b) The measure of the
Examine each capital letter in the alphabet and determine which letters have 180° rotational symmetry about a point in the center of the letter.
Examine each capital letter in the alphabet and determine which letters have reflective symmetry about a vertical line through the center of the letter.
Examine each capital letter in the alphabet and determine which letters have reflective symmetry about a horizontal line through the center of the letter.
Using the regular pentagon below instead of a regular octagon.
Trace the regular octagon, shown below, onto a separate piece of paper. Try to create a regular tessellation by tracing this octagon repeatedly. Attempt to cover the entire piece of paper where
Consider the following figure.(a) Insert a vertical line m through the figure so the figure has reflective symmetry about line m.(b) Is it possible to insert a horizontal line l through the figure so
Consider the following figure.(a) Insert a vertical line m through the figure so the figure has reflective symmetry about line m(b) Insert a horizontal line l through the figure so the figure has
(a) Rotate square ABCD, shown below, 90° about point P. Label the rotated square A'B'C'D'.(b) Other than vertex labels, is the position of square A'B'C'D' identical to the position of square
(a) Rotate rectangle ABCD, shown below, 90° about point P. Label the rotated rectangle A'B'C'D'.(b) Other than vertex labels, is the position of rectangle A'B'C'D' identical to the position of
(a) Reflect pentagon ABCDE, shown below, about line l. Label the reflected pentagon A'B'C'D'E'.(b) Other than vertex labels, is the position of pentagon A'B'C'D'E' identical to the position of
(a) Reflect parallelogram ABCD, shown below, about line l. Label the reflected parallelogram A'B'C'D'.(b) Other than vertex labels, is the position of parallelogram A'B'C'D' identical to the position
(a) Reflect quadrilateral ABCD, shown below, about line l. Label the reflected quadrilateral A'B'C'D'.(b) Other than vertex labels, is the position of quadrilateral A'B'C'D' identical to the position
(a) Reflect triangle ABC, shown below, about line l. Label the reflected triangle A'B'C'.(b) Other than vertex labels, is the position of triangle A'B'C' identical to the position of triangle ABC?(c)
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the figure in the positions before and after the glide
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 270° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 90° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 180° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 270° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 270° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 180° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 180° rotation
Use the given figure and rotation point P to construct the indicated rotations. Show the figure in the positions both before and after the rotation.Use the following figure. ConstructA 90° rotation
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the translation vectors v and w, shown on the next page, to construct the translations indicated in the exercises. Show the figure in the positions both before and after the translation.Use the
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. ConstructThe
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. ConstructThe
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. ConstructThe
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. ConstructThe
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. Construct The
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. Construct The
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. ConstructThe
Use the given figure and lines of reflection to construct the indicated reflections. Show the figure in the positions both before and after the reflection.Use the following figure. ConstructThe
Fill in the blanks with an appropriate word, phrase, or symbol(s).A pattern consisting of the repeated use of the same geometric figures to entirely cover a plane, leaving no gaps, is called a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion that moves the geometric figure back onto itself is called a(n) ___________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion formed by performing a translation followed by a reflection is called a(n) ___________ reflection.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The angle through which a geometric figure is rotated during a rotation is called the angle of ___________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion performed by rotating a geometric figure in the plane about a specific point is called a(n) ___________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A concise way to indicate the direction and the distance that a figure is moved during a translation is with a translation
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion that moves a geometric figure by sliding it along a straight line segment in the plane is called a(n) ___________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion that moves a geometric figure to a new position such that the new position is a mirror image of the figure in the
Estimate the item in metric units.The height of a cereal box.
Estimate the item in metric units.The diameter of a soda can.
Repeat parts (a)–(h) of for the mathematical system defined by the given table. Assume that the associative property holds for the given operation.(a) What are the elements of the set in this
What is a Möbius strip?
Use the figure below to answer the following questions.(a) Does rectangle ABCD have reflective symmetry about line l? Explain.(b) Does rectangle ABCD have 180° rotational symmetry about point P?
Construct a glide reflection of rectangle ABCD, shown below, using translation vector v and reflection line l. Show the rectangle in the positions both before and after the glide reflection. A B
Construct a 180° rotation of triangle ABC, shown below, about rotation point P. Show the triangle in the positions both before and after the rotation. [C A
Construct a translation of quadrilateral ABCD, shown below, using translation vector v. Show the quadrilateral in the positions both before and after the translation. A B В D
Construct a reflection of rectangle ABCD, shown below, about line l. Show the rectangle in the positions both before and after the reflection. A
Determine the volume of the pyramid. 7 ft 12 ft 4 ft
Determine the volume of the shaded area. Use the π key on your calculator and round your answer to the nearest hundredth. 3 m -2 m- 4 m 6 m
Determine (a) The volume.(b) The surface area of a sphere of diameter 14 cm.
Right triangle ABC has one leg of length 12 in. and hypotenuse of length 13 in.(a) Determine the length of the other leg.(b) Determine the perimeter of the triangle.(c) Determine the area of the
Triangles ABC and A'B'C' are similar figures. Determine the length of side B̅’ C̅’. 8 cm 7 cm ст A 13 cm B' C' A'< 5 ст 5 cm
Determine the sum of the measures of the interior angles of a hexagon.
In the figure, determine the measure of ∡x. 116° 48° х
m∡B = 73.5º. Determine the measure of the supplement of ∡B.
m∡A = 41.8º. Determine the measure of the complement of ∡A.
Use the figure to describe the following. AC U BA
Use the figure to describe the following.∡EDF ∩ ∡BDC B D A E F
Use the figure to describe the following.B̅C̅ ∪ C̅D̅ ∪ B̅D̅ B D A E F
Use the figure to describe the following. AB U AÉ
State the fifth axiom of Euclidean, elliptical, and hyperbolic geometry.
Determine whether point A is inside or outside the Jordan curve.
Color the map by using a maximum of four colors so that no two regions with a common border have the same color. 2 6. 4 5 9. 10 3.
Give an example of an object that has(a) Genus 0.(b) Genus 1.(c) Genus 2.(d) Genus 3 or more.
Use the following figure to answer the following questions.Does rectangle ABCD have 180° rotational symmetry about point P? Explain B
Use the following figure to answer the following questions.Does rectangle ABCD have 90° rotational symmetry about point P? Explain B
Use the following figure to answer the following questions.Does triangle ABC have reflective symmetry about line m? Explain. т B
Use the following figure to answer the following questions.Does triangle ABC have reflective symmetry about line l? Explain. т B
Use the given figure, translation vectors v and w, and reflection lines l and m to construct the indicated glide reflections. Show the triangle in the positions both before and after the glide

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