Geometry Questions From Archived Provincial Examsessentialmath.weebly.com/uploads/4/3/0/3/43030573/geo_exam... · 1 Mark 26. Choose the letter that best completes the statement below

Geometry

Questions

From

Archived

Provincial

Exams

1 Mark

24. Choose the letter that best completes the statement below. 132

Refer to the following diagram. It is true that:

a) the diagonals are equal

b) the consecutive angles are equal

c) the diagonals are perpendicular

he opposite angles are equal

Answer:

26 Essential Mathematics: Student Booklet (January 2014)

2 Marks

133

25. Determine (by illustration or calculation) the total number of diagonals in a regular six-sided polygon.

Essential Mathematics: Student Booklet (January 2014) 27

1 Mark

26. Choose the letter that best completes the statement below.

An isosceles triangle must have

134

a) a right angle

b) two sides of the same length

) all angles with different measures

d) all acute angles

Answer:


1 Mark

27. A coin is in the shape of a regular polygon with 11 sides. State the measure of a central angle in degrees.

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135


Geometry and Trigonometry

2 Marks

]31

24. A triangle has sides of 12 cm, 14 cm, and 16 cm. Justify whether the triangle has two congruent angles.

24 24 Essential Mathematics: Student Booklet (June 2014)

1 Mark

136


If all sides of a 4-sided polygon are equal, then:

a) The adjacent angles are equal.

b) The quadrilateral is a square.

The diagonals intersect at 900 .

d)

The diagonals do not bisect the interior angles of the quadrilateral.

Answer: C-

Essential Mathematics: Student Booklet (June 2014) 27

28. A regular hexagon has a side length of 10 metres.

A) State the measure of angle A, the central angle, in degrees. (1 mark)

2 Marks

137

10

B) State the measure of the given diagonal in metres. (1 mark)

10

28 Essential Mathematics: Student Booklet (June 2014)

138

3 Marks

30. Given the following regular polygon:

141

A) Calculate the sum of the interior angles in the polygon. (2 marks)

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B) State the measure of each interior angle in the polygon. (1 mark)

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142


2 Marks

3

20. Determine the number of diagonals in a regular octagon. 125

Number of diagonals:

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3 Marks

23. Given a regular hexagon with centre C:

A) Determine the measure of the central angle of the hexagon. (1 mark)

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129

130

B) Determine the length of side a. Justify your response (2 marks)

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2 Marks

25. Looking at his chocolate bar from a top view, Brian states that it looks like a rectangle. State two properties of Brian's chocolate bar that make it a rectangle.

132


2 Marks

22. A regular polygon has central angles of 45°.

A) State the number of sides for this polygon. (1 mark)

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134

135

B) State the name of this polygon. (1 mark)


1 Mark


The following triangle is:

136

a) scalene

b) equilateral

isosceles

d) right

Answer:


2 Marks

137

24. Sketch a rhombus and label all of the congruent parts.

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24

Essential Mathematics: Student Booklet (lune 2015)

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2 Marks

25. Polygons are often used in construction, commercial, industrial, or artistic applications.

• Sketch a picture or diagram that demonstrates how properties of polygons are used in the real world. (1 mark)

• Support your diagram with an explanation of how the properties were used (1 mark)

138

Essential Mathematics: Student Booklet Dine 2015) 25

Geometry and Trigonometry 2 Marks

20. Martha is building a triangular ramp over a drainage pipe. She is considering the following designs:

A) Choose the letter that best completes the statement below. (1 mark)

The type of triangular ramp that allows a wheelbarrow to be pushed smoothly over the pipe with the least amount of effort from either side is:

a) acute

b) equilateral

obtuse

d) right

Answer:

B) Justify why this type of triangle should be used for the ramp, making reference to the base angles. (1 mark)

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22 Canada's Centennial Maple Leaf is made up of 11 equilateral triangles.

3 Marks

A) State the measure of angle A (1 mark)

, 3

B) State the measure of angle B (1 mark)

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C) State the type of quadrilateral created by combining triangles x and y. (1 mark)

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Essential Mathematics! Student Booklet (January 2016) 23

2 Marks

12/2

23. Squares and parallelograms are geometric figures. Using properties of polygons:

A) Explain why a square is a parallelogram. (1 mark)

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B)B) Explain why a parallelogram is not always a square. (1 mark)

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24

Essential Mathematics: Student Booklet (January 2016)

2 Marks

25. Consider a regular decagon.

A) State the sum of all interior angles. (1 mark)

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B) State the measure of an interior angle for the regular decagon (1 mark)

26 Essential Mathematics: Student Booklet ()anuary 2016)

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Geometry and Trigonometry 2 Marks

20 Pedro is building a triangular roof for a house. He would like to build it as steep as possible so snow does not accumulate on the roof.

A) State whether Pedro's roof should be an equilateral or isosceles triangle (1 mark)

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D) Justify your answer from Part A. (1 mark)

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2 Marks

1.32

23. Bob is building a brick wall using rectangular bricks.

State 2 properties of polygons that allow for a rectangular wall to be completed using the bricks.

Note: Place one response per line.

Property 1.:

Property 2: p p ott


2 Marks

24. Consider a regular polygon with 17 sides.

A) State the number of diagonals in this polygon. (1 mark)

B) State the central angle of this polygon. (1 mark) 134


2 Marks

25. A regular dodecagon is a 12-sided figure.

Dodecagon

A) State the sum of the interior angles (1 mark)

B) State the measure of one interior angle (1 mark)

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135

136


2 Marks

137

26. A kite is a type of polygon. State 2 properties of this polygon.

Note: Place one response per line.

Property 1: CA Fo

Property 2: path dr st

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uesfion 20 1 mark

Choose the letter that best completes the statement below.

The triangle that would require only the Sine Law to solve for x is

a)

18 53

d)

Answer:


uestion 21

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2 marks

A standard soccer ball is made up of different shapes including hexagons sewn together to form a ball.

A) State the sum of the interior angles of a regular hexagon. (1 mark)

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B) Paulo has the following piece of material that he is using to make a soccer ball.

Justify whether the piece of material shown above is a regular polygon. (1 mark)


uestion 23 2 marks 131

A student is solving a math question involving a 100 metre truss bridge. The bridge is made of 7 equilateral triangles as shown in the diagram below.

Sketch 1 of the bridge's triangles and state all side and angle measurements.

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41

193 2 marks

The sum of the interior angles of a regular polygon is 21600 .

Calculate the number of sides of this regular polygon.

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Question 24


Question 21

2 marks

A community group is building bird houses.

A) State the type of triangle that is shaded in the diagram. (1 mark)

B) State the measure of LC in triangle ABC. (1 mark)

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/1C _

30


Question 22 3 marks

Bartholomew is solving a math problem involving a truss bridge. The 30 metre bridge is made of 5 equilateral triangles of the same size and has 2 braces as shown in the diagram

Brace

A) State the measure of angle A. (1 mark)

B) Calculate the length of the brace. (2 marks)

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Question 23

Identify which of the following is a property of a kite:

A) the lengths of the opposite sides are congruent

B) opposite angles are congruent

diagonals are congruent

(,)diagonals intersect at 900

Answer:


I mark

0 52), Question 25

Identify which of the following diagrams best illustrates an isosceles trapezoid.

1 mark

A)

C)

Answer:


1 mark 173

An engineer is designing a building in the form of a regular polygon that has a central angle of 24°.

She is using the formula S = 64 800 3600, where S is the sum of the interior angles of a

polygon and C is the central angle of the regular polygon.

State the sum of the interior angles of the polygon.

-3


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Geometry Questions From Archived Provincial Examsessentialmath.weebly.com/uploads/4/3/0/3/43030573/geo_exam... · 1 Mark 26. Choose the letter that best completes the statement below