Solved: ?Find the sum of the measures of the interior angles in each figure

Find the value of each variable.

Find the value of each variable.

Find the value of each variable.

Find the perimeter and area of each rectangle.

Find the perimeter and area of each rectangle.

Find the perimeter and area of each rectangle.

For each triangle, tell whether the red segment or line is an altitude, a perpendicular bisector, both,or neither.

For each triangle, tell whether the red segment or line is an altitude, a perpendicular bisector, both,or neither.

For each triangle, tell whether the red segment or line is an altitude, a perpendicular bisector, both,or neither.

Identify each polygon by its sides. Then classify the polygon as convex or concave. (Lesson 10–1)

Identify each polygon by its sides. Then classify the polygon as convex or concave. (Lesson 10–1)

A dodecagon is a polygon with 12 sides. Find the measure of each angle of a regular dodecagon. (Lesson 10–2) one interior angle

A dodecagon is a polygon with 12 sides. Find the measure of each angle of a regular dodecagon. (Lesson 10–2) one exterior angle

Swimming Mineku needs to know the area of her swimming pool so she can order a cover. Each square represents 16 square feet. What is the area? (Lesson 10–3)

The figure at the right is usually used to verify the Pythagorean Theorem. We can also use it to investigate relationships among side lengths, perimeters, and areas of regular polygons. a.Draw a right triangle. Make sure that its legs are no more than one-third the dimensions of your paper. b.Construct a square using the hypotenuse of the right triangle as one of its sides. Then construct squares on the two legs of the triangle. Label your drawing as shown. c.Find and record the length of sides a, b, and c. Find and record theareas and perimeters of Squares 1, 2, and 3.

Use a spreadsheet or a calculator to write and compare each pair of ratios. a. \(\frac{a}{b} \text { and } \frac{\text { area of Square } 1}{\text { area of Square } 2}\) b. \(\frac{b}{c} \text { and } \frac{\text { area of Square } 2}{\text { area of Square } 3}\) c. \(\frac{\text { perimeter of Square } 1}{\text { perimeter of Square } 2} \text { and } \frac{\text { area of Square } 1}{\text { area of Square } 2}\) d. \(\frac{\text { perimeter of Square } 2}{\text { perimeter of Square } 3} \text { and } \frac{\text { area of Square } 2}{\text { area of Square } 3}\) Equation Transcription: and and and and Text Transcription: a/b and area of Square 1/area of Square 2 b/c and area of Square 2/area of Square 3 perimeter of Square 1/perimeter of Square 2 and area of Square 1/area of Square 2 perimeter of Square 2/perimeter of Square 3 and area of Square 2/area of Square 3

Find the area of each triangle or trapezoid. (Lesson 10–4)

Find the area of each triangle or trapezoid. (Lesson 10–4)

Find the area of each triangle or trapezoid. (Lesson 10–4)

Find the area of each triangle or trapezoid. (Lesson 10–4)

Find the area of each regular polygon. (Lesson 10–5)

Find the area of each regular polygon. (Lesson 10–5)

Find the area of each regular polygon. (Lesson 10–5)

Find the area of each regular polygon. (Lesson 10–5)

Sports Refer to the soccer field at the right. (Lesson 10–6) a. Does the field have line symmetry? If so, how many lines of symmetry could be drawn? b. Does the field have rotational symmetry?

Draw a figure that has rotational symmetry when it is turned 180° only. (Lesson 10–6)

Choose the term or terms from the list above that best complete each statement. If all the diagonals of a polygon lie in its interior, then the polygon is ___________?

Choose the term or terms from the list above that best complete each statement. A(n) __________ is both equilateral and equiangular.

Choose the term or terms from the list above that best complete each statement. A segment perpendicular to the lines containing the bases of a trapezoid is a(n) __________.

Choose the term or terms from the list above that best complete each statement. A segment drawn from the center perpendicular to a side of a regular polygon is a(n) __________.

Choose the term or terms from the list above that best complete each statement. A pattern formed by repeating figures to fill a plane without gaps or overlaps is a(n) __________.

Choose the term or terms from the list above that best complete each statement. Any polygon and its interior are called a(n) __________.

Choose the term or terms from the list above that best complete each statement. A figure has __________ when a line drawn through the figure makes each half a mirror image of the other.

Choose the term or terms from the list above that best complete each statement. The __________ of a regular polygon is a point in the interior equidistant from all the vertices.

Choose the term or terms from the list above that best complete each statement. In a(n) __________ , only one kind of regular polygon is used to form the pattern.

Choose the term or terms from the list above that best complete each statement. A figure that can be turned less than 360° about a fixed point and look exactly as it does in its original position has __________.

Identify each polygon by its sides. Then determine whether it appears to be regular or not regular.

Identify each polygon by its sides. Then determine whether it appears to be regular or not regular.

Classify each polygon as convex or concave.

Classify each polygon as convex or concave.

Find the sum of the measures of the interior angles in each figure.

Find the sum of the measures of the interior angles in each figure.

Find the measure of one interior angle and one exterior angle of each regular polygon. octagon

Find the measure of one interior angle and one exterior angle of each regular polygon. nonagon

Find the area of the polygon in square units.

Estimate the area of the polygon in square units.

Find the area of each triangle or trapezoid.

Find the area of each triangle or trapezoid.

Find the area of each triangle or trapezoid.

Find the area of each triangle or trapezoid.

Find the area of each regular polygon.

Find the area of each regular polygon.

Determine whether each figure has line symmetry, rotational symmetry, both,or neither.

Determine whether each figure has line symmetry, rotational symmetry, both,or neither.

Determine whether each figure has line symmetry, rotational symmetry, both,or neither.

Determine whether each figure has line symmetry, rotational symmetry, both,or neither.

Identify the figures used to create the tessellation. Then identify the tessellation as regular, semi-regular, or neither.

Use isometric or rectangular dot paper to create a tessellation using the given polygons. isosceles triangles and pentagons

Use isometric or rectangular dot paper to create a tessellation using the given polygons. small and large squares and rectangles

Woodworking A craftsman is making a wooden frame to replace the one on an octagonal antique mirror. Determine the measure of each interior angle of the frame if its shape is a regular octagon. (Lesson 10–2)

Construction The Deck Builders company has several designs for decks. Find the area of the deck at the right. (Lesson 10–4)

Architecture The plans for a new high-rise office tower show that the shape of the building will be a regular hexagon with each side measuring 350 feet. Find the area of a floor if each apothem is 303 feet long. (Lesson 10–5)

Describe how a polygon is named.

Compare and contrast convex and concave polygons.

Identify each polygon by its sides. Then determine if it appears to be regular or not regular. If not regular, explain why.

Identify each polygon by its sides. Then determine if it appears to be regular or not regular. If not regular, explain why.

Find the measure of one interior angle and one exterior angle of each regular polygon. octagon

Find the measure of one interior angle and one exterior angle of each regular polygon. pentagon

Find the measure of one interior angle and one exterior angle of each regular polygon. nonagon

Find the measure of one interior angle and one exterior angle of each regular polygon. Find the area of the polygon in square units.

Find the measure of one interior angle and one exterior angle of each regular polygon. Estimate the area of the polygon in square units.

Find the area of each triangle or trapezoid.

Find the area of each triangle or trapezoid.

Find the area of each triangle or trapezoid.

Find the area of each regular polygon.

Find the area of each regular polygon.

Find the area of each regular polygon.

Copy the figure and draw any lines of symmetry.

Determine whether the figure has rotational symmetry.

Define tessellation. Describe one example of a tessellation in your school.

Flooring Ms. Lopez would like to have the wood floor in her kitchen refinished. An outline of the area is shown at the right. What is the area to be refinished?

Maintenance The base of a fountain at a shopping mall is in the shape of a regular hexagon, with each side 12 feet long and each apothem 10 feet long. The base of the fountain is to be repainted. What is the area of the base of the fountain?

Karen is making a largersail for her model boat.Use the diagram to find the length of the base of the new sail.(Lesson 9–4) a. 6.5 in. b. 6 in. c. 8 in. d. 9.5 in.

The cost of a taxi is $3 plus $0.75 for each mile traveled. If a taxi fare is $7.50, which equation could be used to find m, the number of miles traveled?(Algebra Review) (3 + 0.75)m = 7.50 3+ 75m = 7.50 3 + 0.75m = 7.50 7.50 + 3 = 0.75m

ABCD is a parallelogram. What must be the coordinates of point C?(Lesson 8–2) a. (x, y) b. (d + a, y) c. (d - a, b) d. (d + x, b) e. (d + a, b)

Terry is making fertilizer for his garden. The directions call for 4 tablespoons in 1gallon of water. Terry accidentally puts 5 tablespoons of fertilizer in the watering can.How many gallons of water should he use to keep the correct proportion of fertilizer to water?(Algebra Review) a. 0.8 b. 1 c. 1.25 d. 2

After you work each problem, record your answer on the answer sheet provided or on a sheet of paper. Solve 2(n + 5) - 6 = 3n + 9. (Algebra Review) A. 10 B. -5 C. 13 D. No Solution

After you work each problem, record your answer on the answer sheet provided or on a sheet of paper. A weather forecaster states that the probability of rain today is 40%. What are the odds that it will not rain today? (Statistic Review) A. 5:3 B. 2:3 C. 2:5 D: 3:2

After you work each problem, record your answer on the answer sheet provided or on a sheet of paper. Water flows through a hose at a rate of 5 gallons per minute. How many hours will it take to fill a 2400-gallon tank? (Algebra Review) A. 3 B. 5.5 C. 7.5 D. 8

After you work each problem, record your answer on the answer sheet provided or on a sheet of paper. Which expression is not equivalent to the others? (Algebra Review) A. (x + 1)2 - x2 B. (x + 1 + x) (x + 1 - x) C. 2x + 1 D. (x - 1)2 + x2

After you work each problem, record your answer on the answer sheet provided or on a sheet of paper. The measure of the base of a triangle is 13 and the other two sides are congruent. If the measures are integers, find the measure of the shortest possible side. (Lesson 7-4)

After you work each problem, record your answer on the answer sheet provided or on a sheet of paper. A Little League team of 24 children, along with 7 adults, is attending a minor league baseball game. The team raised $210, and the adults paid $100 to cover their expenses. (Algebra Review) Part A: There are 3 seats in the first row, 5 seats in the second row, 7 seats in the third row, and 9 seats in the fourth row. If this pattern continues, which row can they all sit in nearest the field? Show your work. Part B: The tickets cost $4 for children and $6 for adults. The adults all order hot dogs at $1.75 each and drinks at $2.25 each. Write an equation to find S, the amount of money left to spend.