Geometry
PART A: Multiple Choice – Please circle the one answer that you think is correct. (14 marks)
1. The drawing shows a solid figure built with cubes.
Which drawing below represents a view of the solid figure from directly above?
a) b)
Front Front
c) d)
Front Front
2. Which of the following triangles has half the area of the parallelogram shown: (D8)
a) b)
c) d)
3. How many planes of symmetry are there in this doghouse?
a) 0
b) 1
c)
2
d) 3
4. The angle measurement for the following is:
a) 50º
b) 45º
c) 48º
d) 43º
5. What is the measurement of angle Z?
a) 50º
b) 57º
c) 45º
d) 43º
6. Which shape is a rhombus?
A. B. C. D.
7. What is the sum of the angles in a quadrilateral ?
A. 360° B. 180° C. 90° D. 380°
8. An angle measures 52°. What is its complementary angle and supplementary angle, in that order?
A. 128°, 38°
B. 28°, 138°
C. 138°, 28°
D. 38°, 128°
9. Which of the following angles is a reflex angle ?
A. 240°
B. 30°
C. 150°
D. 180°
10. Which angle shown below is approximately 1300?
11. What type of an angle is shown below ?
A. Acute angle
B. Right angle
C. Obtuse angle
D. Straight Angle
12. What type of triangle is shown below ?
A. Scalene triangle
B. Equilateral triangle
C. Right triangle
D. Isosceles triangle
13. Find the missing angle in the triangle below.
A. 60°
B. 90°
C. 30°
D. 25°
14. If you cut all the corners off a cube, what shape faces will the solid that is left have?
A. octagon and square faces
B. square and triangle faces
C. square, triangle and octagon faces
D. octagon and triangle faces
PART B – MAKE SURE TO ANSWER ALL OF THE FOLLOWING QUESTIONS. YOU MUST SHOW YOUR WORK. USE A RULER FOR THE 3-D DRAWINGS AND LABEL THEM.
1. Build the building from the following mat plan and draw ALL the 2-D views (top, front, left, right and back). (10 marks)
2.
(3 marks)
3. Use the mat plan below and draw the FRONT-LEFT AND FRONT-RIGHT 3-D views. (10 marks)
4. a) Draw a mat plan of this object. (3 marks)
b) Draw the top and front views. (6 marks)
5. What are the base angles of the isosceles triangle shown below? EXPLAIN ! (5 marks)
6. Find the measure of the missing angle. EXPLAIN HOW YOU FIGURED IT OUT! - DO NOT USE A PROTRACTOR! (8 marks)
WHY??? WHY????
7. How many planes of symmetry are in each solid? (6 marks)
a). ______b).______c).______
8. Give the complementary angle that matches with each of the following: (8 marks)
a). 20° b). 38° c). 14° d). 23°
______
9. Give the supplementary angle that matches with each of the following: (8 marks)
a). 160° b). 11° c). 164° d). 48°
______
10. For each 3-D shape list three different cross sections and explain how you did it. (12 marks)
a).
1.2.
3.
b).
1.2.
3.
11. Name 5 properties about this shape. (5 marks)
BONUS – Find the measure of the missing angle without using a protractor. You will not get the bonus marks unless you EXPLAIN how you did it!
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