Geometry Another CRCT review

#1 Which of the following solids is NOT a polyhedron?

#1 answer A polyhedron in a solid figure made of plane figures. (No curved sides.)

#2 Which is a line of symmetry for this pentagon? A)Line A B)Line B C)Line C D)Line D

#2 answer B) Line B Explanation: When folded on line B, the two sides match up exactly

#3 Which design has line symmetry?

#3 answer

#4 Which of these squares labeled on the grid would you shade so the figure has line symmetry? A)Squares B and D B)Square A C)Square D D)Square B

#4 answer D) Square B

#5 Find the area and the perimeter of the figure. 24 m 12 m 6 m

#5 answer A = 216 m² P = 72 m 24 m 12 m 6 m

#6 Find the area and the circumference. 8 cm

#6 answer C = cm A = cm² 8 cm

#7 Find the area. 9 ft 3 ft

#7 answer A = ft² 9 ft 3 ft

#8 Which figure can be made from the net below? A)Triangular pyramid B)Rectangular pyramid C)Triangular prism D)Rectangular prism

#8 answer C) Triangular prism Explanation: The figure has rectangular faces and 2 triangular bases.

#9 Which three – dimensional figure has one rectangular face and two pairs of congruent triangular faces? A)triangular pyramid B)rectangular pyramid C)triangular prism D)rectangular prism

#9 answer C) rectangular pyramid Explanation: The rectangular face is the base. “Two pairs of congruent triangular faces” means 4 triangular faces.

#10 Which figure can be made from the net below? A)triangular pyramid B)rectangular pyramid C)triangular prism D)rectangular prism

#10 answer C) rectangular pyramid Explanation: There is one square (a special rectangle) base. There are 4 triangular faces.

#11 Which types of symmetry does this hexagon have? A)line symmetry B)rotational symmetry C)line and rotational symmetry D)no symmetry

#11 answer C) line and rotational symmetry Explanation: You can fold it in half 6 different ways and it matches exactly on itself. You can also turn it 60 degrees and it will match up on itself.

#12 Which type of quadrilateral never has rotational symmetry? A)rectangle B)square C)trapezoid D)rhombus

#12 answer C) trapezoid Explanation: You can’t turn this (less than a full 360 degrees) and have it match up on itself.

#13 Which design has rotational symmetry?

#13 answer Explanation: You can rotate (turn) the figure 180 degrees – half way – and it will match up on itself.

#14 Which design does NOT look the same after a 180 degree rotation?

#14 answer after 180 degree rotation Explanation: 180 degrees is a half turn. Since the star has one point on top and 2 points on the bottom, it doesn’t match up.

#15 On the map of a state park, the entrance and an observation tower is 4 inches. If the map scale is 1 inch = 80 yds, what is the actual distance between the cave entrance and the tower? A)20 yds B)40 yds C)84 yds D)320 yds

#15 answer D) 320 yds

#16 The scale factor for a model plane is 2 inches = 25 feet. If the length of the model is 8 inches, how long is the plane? A)7.5 inches B)50 inches C)22.5 inches D)1,200 inches

#16 answer C) 1200 inches

#17 How far will Alex travel from home to school if he stops at the library on his way? A)1.8 miles B)3.5 miles C)4.5 miles D)9 miles

#17 answer C) 4.5 miles

#18 Bethany made this scale drawing of the garden she will plant this year. If the scale is 1 in = 16 ft, what is the area of the garden? A)3.75 ft² B)16 ft² C)340 ft² D)960 ft²

#18 answer D) 960 ft²

#19 What is the ratio of corresponding sides? A)8 to 8 B)7 to 8 C)5 to 5.6 D)5 to 4

#19 answer D) 5 to 4

#20 Which proportion can you use to find x?

#20 answer

#21 What is y? A)8 cm B)10 cm C)6.4 cm D)5.6 cm

#21 answer c) 6.4 cm

#22 The lengths of corresponding sides of similar rectangles are in the ratio of 5:2. The perimeter of the smaller rectangle is 20 ft. What is the perimeter of the larger rectangle? A)8 ft B)50 ft C)4 ft D)10 ft

#22 answer B) 50 ft

#23 The ratio of the corresponding side lengths of two regular hexagons is 5:1. The perimeter of the larger hexagon is 35 m. What is the perimeter of the smaller hexagon? A)175 m B)7 m C)5 m D)35 m

#23 answer B) 7 m

#24 Which three-dimensional figure has a circular base and two parallel faces? A)cone B)cube C)pyramid D)cylinder

#24 answer D) cylinder Explanation: a cylinder is the only shape that has 2 parallel circular faces.

#25 Identify the three-dimensional figure A)pentagonal pyramid B)pentagonal prism C)hexagonal pyramid D)hexagonal prism

#25 answer A)pentagonal pyramid Explanation: It is a pyramid, because there is only one base. We name pyramids by the shape of the base. The base has 5 sides, so it is a pentagonal pyramid.

#26 How many vertices are there? A)1 B)5 C)6 D)16

#26 answer C) 6

#27 How many edges are there? A)5 B)10 C)16 D)20

#27 answer B) 10

#28 Which is the top view of a cylinder?

#28 answer Explanation: When a question says “top view” imagine that you are above the object looking down on it (like a bird). The top of a cylinder is a circle.

#29 How many faces does a hexagonal prism have? A)6 B)7 C)8 D)10

#29 answer C) 8 Explanation: Since this is a prism, then it has 2 bases. A hexagon has 6 sides, therefore it has 6 faces. The total number of faces is 8. A base is a specific kind of face, so this can be included in the total number of faces.

#30 The figure shows a model rocket that is made up of cylinders and cones. Which is a bottom view of the rocket?

#30 answer Explanation: The base of a cylinder is a circle. There are 4 “wings” coming off of the base, thus the four lines.

#31 Which is the bottom view of a hexagonal prism?

#31 answer Explanation: The bottom (base) of a hexagonal prism is a hexagon. A hexagon has 6 sides.

#32 Which is the top view of a cone?

#32 answer Explanation: When looking down on a cone, you see the circular base with the vertex (the dot) in the center.

#33 Which is the bottom view of the three dimensional figure shown?

#33 answer Explanation: You need to imagine that you are looking directly down on the figure.