GEOMETRYPRE*TEST!!!!!!!!!!!!!!!!!!!!!!!!!Name: …!!!! Title Microsoft Word - GEOMETRY PRE.docx...
Transcript of GEOMETRYPRE*TEST!!!!!!!!!!!!!!!!!!!!!!!!!Name: …!!!! Title Microsoft Word - GEOMETRY PRE.docx...
GEOMETRY PRE-‐TEST Name:_________________________
Level 3 1. Match the types of angles to the corresponding diagrams. Angle Type of angle
Reflex
Obtuse
Straight
Acute
4 marks
Level 4 2. Write the letter in the correct box below to indicate which angle it corresponds to. A. B. C.
D. E. F.
Less than Right Angle
Equal to Right Angle Greater than Right Angle
6 marks
Level 5 3. State which angle (i,ii or iii) is smallest and which is largest. (i)
(ii) (iii)
2 marks
4. Read off the values marked on the scale on the right.
Readings a=____________b=_____________c=_____________d=______________e=_____________f=_____________
6 marks
Level 6 5. The complement of 52° is: A 128° B 52° C 42° D 38°
1 mark
6. The supplement of 63° is: A 243° B 63° C 117° D 153°
1 mark
7. Find the size of the angle marked x, giving reasons.
2 marks
8. For each pair of angles, state whether they are complementary angles or supplementary angles. (a) 155° and 25° _______________________ (b) 30° and 60° _______________________ (c) 120° and 60° _______________________
3 marks
9. Find the size of the angle marked x, giving reasons.
2 marks
10. Place A, B, C, D next to the correct triangles in the table below: A scalene, B right-‐angled, C equilateral, D isosceles
4 marks
11. Find the size of the missing angle. Working out must be shown.
(a)
(b)
4 marks
Level 8 12. (a) Plot the points A(-‐5, 9), B(-‐7, 5), C(-‐4, 2) and D(-‐3, 5). Join the points
to form a quadrilateral ABCD and label the points. (b) In the same Cartesian plane, perform the translation of [6, -‐6] to form a
quadrilateral Aʹ′ Bʹ′ Cʹ′ Dʹ′ and label the points in the same Cartesian plane. (c) In the same Cartesian plane, perform a clockwise rotation of 90° about
the point C. Join the points to form a quadrilateral Aʹ′ʹ′Bʹ′ʹ′Cʹ′ʹ′Dʹ′ʹ′ and label the points.
(d) In the same Cartesian plane, perform a reflection in the y-‐axis to form a quadrilateral
Aʹ′ʹ′ʹ′Bʹ′ʹ′ʹ′Cʹ′ʹ′ʹ′Dʹ′ʹ′ʹ′ What are the coordinates of the transformed quadrilateral? Aʹ′ʹ′ʹ′____________ Bʹ′ʹ′ʹ′_____________ Cʹ′ʹ′ʹ′____________ Dʹ′ʹ′ʹ′ ____________
3 marks 3 marks 3 marks 4 marks
13. When two triangles have two pairs of sides the same length and the angle formed by the two sides is the same, we say they are congruent because of: A AAS B SAS C SSS D ASA
1 mark
14. For the following pair of triangles: (a) Show that they are congruent. (b) Find the value of the pronumeral.
1 mark 1 mark
15. In a kite an angle between two sides of different lengths is 98°. Another angle in the kite must be: A 131° B 98° C 133° D 262°
1 mark
16. Which statement is true for a rhombus? A diagonals bisect each other at right angles B all angles are right angles C has no side or diagonal properties D diagonals parallel
1 mark
Level 9 17. ∆ABC has been reduced to ∆A′B′C′ using a scale factor of 0.5. If AB = 1.6 cm, then A′B′ is equal to: A 3.2 cm B 2.4 cm C 1.6 cm D 0.8 cm 18. Two similar triangles have heights 6 cm and 8 cm and base lengths 15 cm and x respectively. The value of x (in cm) is: A 5 B 10 C 11.25 D 20
1 mark 1 mark
19. Show that the two triangles are similar and then find the value of z.
2 marks
20. Show that the pair of triangles are similar.
1 mark
21.Christy’s dad bounces a ball from his head height and Christy catches it at her head height, as the following diagram shows. If her dad is 2.1 m tall, how tall is Christy?
3 marks
Level 10 22. ABCD is a rhombus. Prove that AOBΔ ≡ CODΔ . Show working out. 23. ABEF is a parallelogram. C is the midpoint of BE. Prove that E is the midpoint of DF. Show working out.
24. Show that when CDBAEBCDBAEB Δ≡Δ∠=∠ , . Show working out.
Level 10 A
24. The value of XYZ∠ is: A 72º B 18º C 36º D 63º
25. Point O is the centre of the circle. Show that: Show Working out.
(a) CODODA ∠=∠21
(b) BOCOAD ∠−°=∠2190
26. Point Y is the centre of the larger semicircle and the radius of the smaller semicircle is r. Use the properties of similar triangles to show that t = 2s. Show working out.
2 marks 2 marks 2 marks 1 mark 2 marks 2 marks 2 marks