Year 10 Name: __________________________Department of Mathematics 2013Parade College Tutor Group:

TEST: Ch 10 Deductive Geometry

Section No. of questions Marks Your mark isA: Vocabulary knowledgeB: Multiple ChoiceC: Short AnswerD: Problem Solving

51051

/36%Instructions

Read questions carefully CAS calculators may be used. No sharing of equipment, including calculators. Use a pencil when completing questions.

Section A: Vocabulary Knowledge (5 x 1 = 5 marks)

1. ______________ figures have the same size and the same shape.

2. The size of the ________ _________ indicates whether the original object has been enlarged or reduced.

3. A _____________ is a parallelogram with four equal sides.

4. Similar shapes have the same __________ but different ___________.

Word ListTrapezium Quadrilateral Congruent Rhombus SizeImage Shape Scale factor SAS Similar

Section B Multiple Choice(1 mark for each correct answer)

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Circle the correct answer.1 Which of the following triangles would be congruent to ABC?

A B

C D

E

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2 The values of c and d, respectively, in the pair of congruent triangles in the figure below are:

A 15 and 55°B 7.5 and 25°C 15 and 70°D 15 and 110°E 7.5 and 55°

3 The value of b in the figure below is:

A 6.16B 7.0C 10.5D 15.4E 13.16

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4 The value of a in the pair of similar triangles below is:

A 2B 3

C

D

E

5 The test that could be used to prove that is:

A SASB AASC AAAD RHSE SSS

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6 ABC RST. This means ACB equals:ABCDE

7 Which of the following properties are not true about a parallelogram?A Opposite sides are parallel.B Opposite sides are equal.C Diagonals are equal.D Opposite angles are equal.E Angles sum to 360°.

8 A trapezium is:A a parallelogram with one right angleB a quadrilateral with both pairs of opposite sides parallelC a rectangle with two adjacent sides equalD a quadrilateral with at least one pair of opposite sides parallelE a quadrilateral with two sides that are equal

9 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is best described as:A a trapeziumB a kiteC a rectangleD a parallelogramE a rhombus

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10 True or false?(a) A parallelogram is a square.(b) A square is a parallelogram.

Section C- Short answer (16marks)Working out must be shown to gain full marks.

1 Find the values of p and q in the diagram below. (6 marks)

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2 Find the values of d and e in the following pair of congruent triangles.(2 marks)

3 Find the value of a in the pair of similar triangles. (2 marks)

4 Name any quadrilaterals whose diagonals bisect the angles they pass through. (2 marks)

5 Test whether the following triangles are similar. For similar triangles, find the scale factor.(4 marks)(a)

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(b)

Section D: Problem Solving : (5 marks)

1 Find x in the following diagram.

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