# Geometry Homework Question 1 Name the following solids:Question 2...

## Transcribed Text

Geometry Homework Question 1 Name the following solids:Question 2 How many faces, vertices and edges the following solids have? faces vertices Octagonal Prism edges faces vertices Pentagonal edges Prism Question 3 Identify the figure. Then name the bases, faces, edges, and vertices. C B bases Fi D faces A E edges vertices Q Vi base U R faces T S edges vertices Page 3 of 19Question 4 Follow directions and show your work on the graph. y 7 Rotate Rotate 180° 90° around 1 around -8 -7 6 -5 -4 -3 -2 1 o 2 3 4 5 2 -8 -7 -6 -5 -4 -3 -2 .1 o 1 2 3 4 5 6 7 x x (0,0) (0,0) counter clockwise clockwise Question 5 What is the scale factor of this dilation ? y c' X C a) 2 b) 3 c) 4 d) 5 Page 4 of 19Question 6 An isosceles triangle is rotated so that one side is carried onto the other side of equal length. A The rotation is repeated to create a regular polygon. If the angle at point A is 30°, how many sides will the polygon have? a) 12 b) 9 c) 6 d) 3 Question 7 A triangle is rotated, reflected, translated and enlarged to create 4 new triangles. Which one is not congruent? a) rotation b) reflection c)translation d) dilationQuestion 8 A quadrilateral ABCD has vertices at A (0,6) B(0,15) C(7, 12) and D(9,4). Which is the longest side? a) AB b) BC c) CD d)AD Question 9 Which of these shapes is congruent to A? A C D B E a) A b) B c) C d) D Question 10 Three tennis balls fit inside a cylindrical can. Each tennis ball has a radius of 2cm. What is the volume of the can? a) 3nt cm² b) 48 TT cm² c) 12 TT cm² d) 92 TC cm² Page 6 of 19Question 11 A rectangle is drawn on a dotty square grid. The horizontal distance between each dot is 1cm What is the perimeter of the rectangle? a) 14 2/2 b) 1413 c) 122 d) 12 / 32 Question 12 The radius of a circle is 9 feet. What is the length of the 235° arc? r 9ft 235° Page 7 of 19Question 13 You take a cross-section of the three-dimensional rectangle below. Draw a picture in the box of what the cross-section will look like from the top. Question 14 Find AG. E 9 X G 6, Q P A 10Question 15 If triangle LKX were to be translated up 6 units and right 4 units, what would be the position of point K? C L K X Question 16 Describe the transformation that would carry this shape onto itself.Question 17 Use the diagram below to answer question u S T If the AUTS were to undergo the translation (x,y) (x - 2), (y + 3), what would be the coordinates of all the points of the triangle? Question 18 Which of following figures is a translation of the shape in the first column? 1. A. B. C. D. E. 2. A. B. C. D. E. 3. A. B. C. D. E. 4. A. B. C. D. E. o o 5. A. B. C. o o D. E. Page 10 of 19 Question 19 Describe the transformation that would carry this shape onto itself? l Question 20 Which of the following transformations carry this regular polygon onto itself? a) Rotation of 50° clockwise b) Rotation of 60° counterclockwise c) Rotation of 120° counterclockwise d) Rotation of 180° counterclockwiseQuestion 21 Use the story below to help you answer questions Y Bedroom 14 Bathroom Stacey is moving into a 12 new four-room T 10 apartment. The movers & left three very heavy 6 items in the wrong R 4 2 place. They also left a 2 mirror (RT) between a x -14 -12 -10 -8 -6 -4 2 4 6 8 10 12 14 doorway connecting the rooms. 2' -6 Stacey needs to leave directions for the -8 3 -10 movers, since she will 1' -12 be working when they come back to move the Kitchen 14 Living Room items. 1. Describe the movement of item 1. 2. If item 3 is to be translated up 10 units and left 4 units, which room will it be in? 3. How long is Stacey's mirror (RT) if each unit is a foot? 4. How many units left will item be translated? Page 12 of 19Question 22 An arrow is formed in a 2 X 2 square by joining the bottom corners to the midpoint of the top edge and the centre of the square. Find the area of the arrow. Question 23 A D 8 10 x° x° o B C vo v E F 4 Note: Figures not drawn to scale In the figures above, X = 60. How much more is the perimeter of triangle ABC compared with the triangle DEF.Question 24 A B D C The square ABCD touches the circle at 4 points. The length of the side of the square is 2 cm. Find the area of the shaded region. Question 25 E A F 120° x B Note: Figures not drawn to scale C D In the figure above, and CF L AD and AE = EF What is the value of x?Question 26 You are given solids below. Draw their corresponding Nets on the right. Page 15 of 19Question 27 Find the surface area of each prism using the net. 9m 2 cm 1. 2. 12 m 12 m 6 cm 2m 2m 3 cm 9 m 3 cm 5 in 3. 4. 5 In 7mm 3mm 4mm 4mm 5 In 3mm 7mm 5 In 5 in Draw the net of each prism below. Then find the surface area. 5. 9mm 6. 10 cm 11mm 10cm 20mm 10cm Page 16 of 19Question 28 (a) On isometric paper, draw a cuboid with sides of lengths 5 cm, 3 cm and 2 cm. Show that there are three possible ways of drawing a Cuboid. (b) Draw this prism on isometric paper: 4 cm 5 cm 2 cm Use the following explanation on Plans and Elevations to solve questions that follow: Plans and Elevations PLAN The plan of a solid is the view looking down from above. Side and front elevations are drawn as if looking at the solid from the side or the front, RIGHT SIDE where the front is taken to be ELEVATION the face nearest to you. FRONT ELEVATION Page 17 of 19(c) Draw the plan, front elevation and left side elevation for this shed: 2 m 3 m 4 m 3 m (d) Draw the plan and elevations of the building shown, which is 4 m high: Use a scale of 1 cm to represent 1 m. 3 m 5 m 4m Page 18 of 19(e) A square-based right pyramid has a base with sides of length 4 cm. The sides of the pyramid are isosceles triangles, and the vertical height of the pyramid is 5 cm. Draw the plan, and an elevation of the pyramid. Question 29 Draw a net for the cuboid shown and calculate its surface area. 1 cm 3 cm 2 cm Question 30 Draw a net for the cuboid shown Calculate the surface area of this cuboid: 5 cm 8 cm 1 cm Page 19 of 19

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