Line segment d is a diagonal in each polygon shown below

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Presentation transcript:

Line segment d is a diagonal in each polygon shown below Line segment d is a diagonal in each polygon shown below. Which drawing shows enough information to find the length of line segment d? Problem #1 Obj 7 - TAKS 2004 8th [8.7(C)]

A toy truck wheel is shown to the right A toy truck wheel is shown to the right. Which is closest to the distance traveled during 2 full rotations of the toy wheel? A 50.2 centimeters B 100.5 centimeters C 200.9 centimeters D 401.9 centimeters Problem #2 Obj 7 - TAKS 2004 8th [8.7(B)]

The picture to the right show a toolbox with a black handle The picture to the right show a toolbox with a black handle. Which drawing best represents a top view of the toolbox? Problem #3 Obj 7 - TAKS 2004 8th [8.7(A)]

The drawing shows a 3-dimensional solid. Which best represents the shape of the solid when viewed from the top? A Pentagon B Hexagon C Heptagon D Octagon Problem #4 Obj 7 - TAKS 2004 9th [8.7(A)]

An artist made a drawing of a house with a tree next to it. The drawing is the size of the actual house and tree. The tallest point of the house is 12 feet 8 inches, and the tree is 27 feet tall. How inches tall is the tree in the drawing? A 8.4 in. B 18 in. C 23.4 in. D 486 in. Problem #5 Obj 7 - TAKS 2004 9th [8.7(B)]

The drawing to the right shows 3 square parking lots that enclose a grassy area shaped like a right triangle. If Lot A’s perimeter is 300 yards and lot B’s perimeter is 400 yards, what is the perimeter of Lot C? A 500 yd B 700 yd C 1400 yd D 2000 yd Problem #6 Obj 7 - TAKS 2004 9th [8.7(C)]

Ms. Hill wants to carpet her rectangular living room, which measures 14 feet by 11 feet. If the carpet she wants to purchase costs $1.50 per square foot, including tax, how much will it cost to carpet her living room? A $50 B $75 C $154 D $231 Problem #7 Obj 7 - TAKS 2004 9th [8.7(B)]

The blueprint dimensions for a newly constructed house are proportional to the house’s actual dimensions. On the blueprints the house’s foundation measures 75 centimeters long by 40 centimeters wide. If the house’s foundation measures 15 meters long, what is the foundation’s actual width? A 8 m B 28.1 m C 50 m D 200 m Problem #8 Obj 7 - TAKS 2004 10th [8.7(B)]

Look at the right triangle shown to the right Look at the right triangle shown to the right. Which of the following could be the triangle’s dimensions? A 12, 16.8, 18.2 B 5.4, 10.6, 16 C 1.2, 1.6, 2 D 8, 10, 12.5 Problem #9 Obj 7 - TAKS 2004 10th [8.7(C)]

A In the corner opposite the side that is 17 feet Near the downtown area of a city, there is a vacant triangular plot of land with sides that measure 22 feet, 27 feet, and 17 feet. If the city council decides to plant an oak tree in the corner with the smallest angle, where should the tree be planted? A In the corner opposite the side that is 17 feet B In the corner opposite the side that is 22 feet C In the corner opposite the side that is 27 feet D In the center of the triangular plot Problem #10 Obj 7 - TAKS 2004 10th [8.7(B)]

Mr. Harrison wants to calculate the cost of buying a carpet to cover his rectangular living room floor. He knows the cost per square foot of carpet, and he knows the length, width, and height of the living room. Which geometric formula should Mr. Harrison use to determine the cost of the carpet he needs? A c2 = a2 + b2 B V = Bh C A = lw D P = 2l + 2w Problem #11 Obj 7 - TAKS 2004 10th [8.7(B)]

The drawing shows the top view of a structure built with cubes as well as the number of cubes in each column of the structure. Which 3-dimensional view represents the same structure? Problem #12 Obj 7 - TAKS 2004 10th [8.7(A)]

Which of the following best represents the front view of the solid shown to the right? Problem #13 Obj 7 - TAKS 2004 11th [G.D1(C)]

A The lines have the same y-intercept. Which of the following best describes the graph of the equations below? 2y = 3x + 2 4y = 6x + 1 A The lines have the same y-intercept. B The lines have the same x-intercept. C The lines are perpendicular. D The lines are parallel. Problem #14 Obj 7 - TAKS 2004 11th [G.D2(B)]

Which two 3-dimensional figures have the same number of faces? A A triangular prism and a square pyramid B A triangular prism and a rectangular prism C A triangular pyramid and a square pyramid D A triangular pyramid and a rectangular prism Problem #15 Obj 7 - TAKS 2004 11th [G.E2(D)]

A Faces R and S are parallel. B Faces R and U are parallel. Which of the following is a true statement about the net of the cube shown? A Faces R and S are parallel. B Faces R and U are parallel. C Faces S and U are perpendicular. D Faces T and U are perpendicular. Problem #16 Obj 7 - TAKS 2004 11th [G.D1(B)]

A hexagon is graphed on the coordinate grid. Which two coordinate points lie on the same line of symmetry on this hexagon? A (–3, –1) and (0, 3) B (–1, 3) and (–1, –1) C (0, 3) and (0, –1) D (–4, 1) and (1, 1) Problem #17 Obj 7 - TAKS 2004 11th [G.D2(A)]

Rectangle MNPQ has diagonals that intersect at point X. Which of the following represents point X? A B C D Problem #18 Obj 7 - TAKS 2004 11th [G.D2(C)]

Line q is shown to the right. Which equation best represents a line parallel to line q? A B C D Problem #19 Obj 7 - TAKS 2004 11th [G.D2(B)]

A bicycle wheel travels about 82 inches in 1 full rotation A bicycle wheel travels about 82 inches in 1 full rotation. What is the diameter of the wheel, to the nearest inch?   A 5 in. B 10 in. C 13 in. D 26 in. Problem #20 Obj 7 - TAKS 2003 8th [8.7(B)]

Which figure best represents a triangle with sides a, b, and c in which the relationship a2 + b2 = c2 is always true? Problem #21 Obj 7 - TAKS 2003 8th [8.7(C)]

The drawings show the top view and the front view of a solid figure built with cubes. Problem #22 Obj 7 - TAKS 2003 8th [8.7(A)]

Which drawing shows a 3-dimensional view of the solid figure represented above? Problem #22 Obj 7 - TAKS 2003 8th [8.7(A)]

Match the three views of this solid to its 3-dimensional sketch. Problem #23 Obj 7 - TAKS 2003 9th [8.7(A)]

What is the area of the largest square in the diagram? A. 5 units2 B. 9 units2 C. 16 units2 D. 25 units2 Problem #24 Obj 7 - TAKS 2003 9th {8.7(C)]

A lawn is shaped like a parallelogram with a base of 32 feet and a height of 15 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Problem #25 Obj 7 - TAKS 2003 9th [8.7(B)]

A 12- by 16-foot rectangular floor will be covered by square tiles that measure 2 feet on each side. If the tiles are not cut, how many of them will be needed to cover the floor? A. 192 B. 96 C. 48 D. 14 Problem #26 Obj 7 - TAKS 2003 9th [8.7(B)]

The drawing shows a view of a building. Which drawing best represents the top view of this building? Problem #27 Obj 7 - TAKS 2003 10th [8.7(A)]

A blueprint of a house plan uses a scale in which inch equals 1 foot A blueprint of a house plan uses a scale in which inch equals 1 foot. If the length of one side of the house is 65 feet, how many inches will the length be on the blueprint? A. B. C. D. Problem #28 Obj 7 - TAKS 2003 10th [8.7(B)]

The sides of squares can be used to form triangles The sides of squares can be used to form triangles. The areas of the squares that form right triangles have a special relationship. Problem #29 Obj 7 - TAKS 2003 10th [8.7(C)]

Using the dimensions of the squares shown below screen, determine which set of squares will form a right triangle. Problem #29 Obj 7 - TAKS 2003 10th [8.7(C)]

What is the measure of angle Y in degrees? A regular hexagon is drawn in a circle as a design on a window. Opposite vertices are connected by line segments. What is the measure of angle Y in degrees? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Problem #30 Obj 7 - TAKS 2003 10th [8.7(B)]

Use the Pythagorean theorem to find the figure that is a right triangle. A. C. B. D. Problem #31 Obj 7 - TAKS 2003 10th [8.7(C)]

Which 3-dimensional figure does this net represent? The net shown to the right shows the surface of a 3-dimensional figure. Which 3-dimensional figure does this net represent? Problem #32 Obj 7 - TAKS 2003 11th [G.D1(B)]

Which graph best represents a line parallel to the line with the equation y = 3x + 4? A. C. B. D. Problem #33 Obj 7 - TAKS 2003 11th [G.D2(B)]

How many faces, edges, and vertices does a square pyramid have? A. 4 faces, 6 edges, and 4 vertices B. 5 faces, 6 edges, and 6 vertices C. 5 faces, 8 edges, and 5 vertices D. 6 faces, 12 edges, and 8 vertices Problem #34 Obj 7 - TAKS 2003 11th [G.E2(D)]

A coordinate grid is placed over a map A coordinate grid is placed over a map. City A is located at (–3, 2), and City B is located at (4, 8). If City C is at the midpoint between City A and City B, which is closest to the distance in coordinate units from City A to City C? A. 4.61 units B. 6.52 units C. 9.22 units D. 21.25 units Problem #35 Obj 7 - TAKS 2003 11th [G.D2(C)]

Which graph best represents the line passing through the point (0, 4) and perpendicular to ? A. B. C. D. Problem #36 Obj 7 - TAKS 2003 11th [G.D2(B)]

What is the volume of a 3-dimensional object with the dimensions shown in the 3 views below? A. 120 cubic feet B. 440 cubic feet C. 512 cubic feet D. 960 cubic feet Problem #37 Obj 7 - TAKS 2003 11th [G.D1(C)]

Which of the following is the correct name for figure ABCD, with vertices A (4, 6), B (8, 7), C (7, 3), and D (3, 2)? A. Rectangle B. Rhombus C. Trapezoid D. Square Problem #38 Obj 7 - TAKS 2003 11th [G.D2(A)]

Which 3-dimensional view best represents the same structure? The drawing below shows both the top view of a solid structure built with identical cubes as well as the number of cubes in each column of the structure. Which 3-dimensional view best represents the same structure? Problem #39 Obj 7 - TAKS 2006 9th [8.7(A)]

H. J. Problem #39 Obj 7 - TAKS 2006 9th [8.7(A)]

Olga plans to take a trip from her house in San Marcos, Texas, to a friend’s house in Zapata, Texas. She measured the distance between the two places on a map and found it to be 8 inches. If the scale on the map is inch represents 14 miles, which is closest to the actual distance in miles between the two places? F. 112 mi G. 224 mi H. 56 mi J. 44 mi Problem #40 Obj 7 - TAKS 2006 9th [8.7(B)]

Look at the drawing shown to the right. If KMP is a right triangle formed by the placement of 3 squares, what is the area of the shaded square? A. 135 in.2 B. 24 in.2 C. 66 in.2 D. 81 in.2 Problem #41 Obj 7 - TAKS 2006 9th [8.7(C)]

The drawing below shows a solid with hexagonal bases. Which drawing best represents the top view of this hexagonal solid? F. G. H. J. Problem #42 Obj 7 - TAKS 2006 9th [8.7(A)]

The drawing shows the top view of a 3-dimensional object. Which of the following drawings best represents this 3-dimensional object? Problem #43 Obj 7 - TAKS 2006 10th [8.7(A)]

Problem #43 Obj 7 - TAKS 2006 10th [8.7(A)]

An artist painted a mural from the photograph shown below. If the artist used a scale of inch to represent 1 foot, which of the following best represents the dimensions in feet of the mural? Problem #44 Obj 7 - TAKS 2006 10th [8.7(B)]

Problem #44 Obj 7 - TAKS 2006 10th [8.7(B)]

Which of the following shapes could not represent a top, front, or side view of a trapezoidal prism? A square A trapezoid A rectangle D. A triangle Problem #45 Obj 7 - TAKS 2006 10th [8.7(A)]

The drawing below shows how 3 squares can be joined at their vertices to form a right triangle. Which is closest to the area in square inches of the largest square? A. 1914 in.2 B. 233 in.2 C. 210 in.2 D. 1073 in.2 Problem #46 Obj 7 - TAKS 2006 10th [8.7(C)]

Lee designed a table that appears to be a cone with a wooden board passing through it, as shown below. Which of the following best represents a top view of this table? Problem #47 Obj 7 - TAKS 2006 10th [8.7(A)]

Problem #47 Obj 7 - TAKS 2006 10th [8.7(A)]

Which of the following relationships could not be used to determine the length of DR, as shown below? A. DF + FQ + QR = DR B. DQ + QR = DR C. DQ + FR = DR D. DF + FR = DR Problem #48 Obj 7 - TAKS 2006 11th [G.D2(A)]

How many faces, edges, and vertices does the solid shown below have? F. 4 faces, 10 edges, and 7 vertices G. 9 faces, 10 edges, and 8 vertices H. 10 faces, 16 edges, and 9 vertices J. 9 faces, 16 edges, and 9 vertices Problem #49 Obj 7 - TAKS 2006 11th [G.E2(D)]

Which 3-dimensional view best represents the same structure? The diagram below shows the top view of a structure built with identical cubes, as well as the number of cubes in each column of the structure. Which 3-dimensional view best represents the same structure? Problem #50 Obj 7 - TAKS 2006 11th [G.D1(C)]

Problem #50 Obj 7 - TAKS 2006 11th [G.D1(C)]

AB is a diameter of the circle shown below. Which is closest to the length of the radius of the circle? A. 3.1 units B. 4.3 units C. 6.1 units D. 12.2 units Problem #51 Obj 7 - TAKS 2006 11th [G.D2(C)]

Which net best represents the triangular prism shown below? Problem #52 Obj 7 - TAKS 2006 11th [G.D1(B)]

Which graph best represents a line that is parallel to the graph of the equation y = – x − 2? Problem #53 Obj 7 - TAKS 2006 11th [G.D2(B)]

The illustration below shows a 3-dimensional view of a screw. Which of the following best represents a front, a side, or a top view of this screw? Problem #54 Obj 7 - TAKS 2006 11th [G.D1(C)]