· web viewplace the correct word from the list below in the appropriate space: shapes are _____...
TRANSCRIPT
This test consists of four sections with marks allocated as indicated below:
Section A Vocabulary 5 marksSeciton B Multiple Choice 10 marksSection C Short Answer 20 marksSection D Analysis 5 marksTOTAL 40 marks
Section A: Vocabulary
Place the correct word from the list below in the appropriate space:
1. Shapes are ___________________ when they are identical in every
respect.
2. Similar shapes have the same ________________ but differ in
____________.
3. The number by which the sides of a shape are multiplied to produce
another similar shape is called the __________________ .
4. If the value of the number in Question 3 is more than 1, then the original
shape is _________________ .
WORD LIST
common factor multiple shrunk
scale factor shape enlarged
size sidelengths congruent
Parade College Mathematics Department 2014 Chapter 10 Test: Deductive Geometry
Name: _________________________
Section B: Multiple Choice
Question 1
Which of the following triangles would be congruent to ABC?
A B
C D
E
Question 2
Question 3
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°
The value of a in the pair of similar triangles below is:
A 2
B 3
C
D
E
Question 4
The test you could use to prove that TRS SUT is:
A SASB AASC RHSD AAAE SSS
Question 5
The value of a in the pair of similar triangles in the figure below is:
A
BC 28
D
E
Question 6
Consider the diagram below:
What congruency law could be used to prove that ∆ DEA ≅∆ ECB ?
A. AAAB. RHSC. SSSD. ASAE. The two triangles are not congruent.
Question 7
Which of the following properties is not true for a rhombus?
A Opposite angles are equal.B Diagonals are perpendicular.C All four sides are equal.D Diagonals bisect the angles of a rhombus.E Only one pair of opposite sides are parallel.
Question 8
Which of the following statements is not true?
A A square is a trapezium.B A rhombus is a parallelogram.C A square is a rectangle.D The diagonals of a parallelogram bisect each other. E A rectangle is a parallelogram.
Question 9
Which of the following properties is true for a rectangle?
A Diagonals bisect the angles they pass through.B All sides are equal.C Diagonals are perpendicular.D Diagonals are equal.E Opposite angles sum to 90°.
Question 10
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°.
Section C: Short Answer Questions
In this section, relevant working must be shown to gain full marks.
Question 1
Consider the diagram shown below:
16
6
9
Find the value of b. Make sure that you show all steps clearly.
3 marks
Question 2
Find the values of p and q in the diagram below:
4 marks
Question 3
Are the following two triangles similar? Explain your answer.
2 marks
Question 4
2 marks
Find the values of d and e in the following pair of congruent triangles.
Question 5
Consider the two triangles shown in the diagram below:
Show that these two triangles are similar by using the appropriate Similarity test. Make sure that you clearly state what test you are using.
3 marks
Question 6
a. Name a quadrilateral that has exactly one pair of parallel sides.
b. Name a quadrilateral that has all sides equal, but whose interior angles are not all equal.
c. Name a quadrilateral whose diagonals bisect each other, but are not at right angles to each other.
3 marks
Question 7
Consider the diagram below:
The points A, B, D and E lie on a circle. The point C is the centre of the circle. Prove that the triangles ABE and BDE are congruent. Make sure that you clearly state the Congruency test that you use.
3 marks
Section D: Analysis Section
Question 1
Consider the diagram below:
a. Explain why AGBis equal to DGC .
1 mark
b. Prove that ∆ AGB is congruent to ∆ DGC . Clearly state the Congruency test that you use.
2 marks
c. Prove that ∆ ACBis congruent to ∆ DBC .
2 marks