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Solutions
30 Videos

Calculate the missing angle.

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0.41mins

Q1a

Calculate the missing angle.

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1.07mins

Q1b

Billy claims that the sum of the interior angles of a regular octagon is `900^o`

. Is he correct? Justify your decision.

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0.49mins

Q2

a) Calculate the measure of each interior angle of a regular 25- gon.

b) What is the measure of each exterior angle?

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1.18mins

Q3

The formula for calculating the sum of the interior angles of any n-gon is `(n-2)\times 180^o`

- Explain why 2 is subtracted from n.

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1.28mins

Q4a

The formula for calculating the sum of the interior angles of any n-gon is `(n-2)\times 180^o`

- Explain why
`(n - 2)`

is multiplied by`180^o`

.

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0.58mins

Q4b

Find the value of the unknown.

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0.25mins

Q5a

Find the value of the unknown.

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0.41mins

Q5b

Find the value of the unknown.

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1.10mins

Q5c

Find the value of the unknown.

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0.22mins

Q5d

Calculate the value of `x`

.

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0.38mins

Q6a

Calculate the value of `x`

.

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0.48mins

Q6b

Complete each sentence using “always,” “never,” or “sometimes.”

- A square is _____ a rhombus.

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0.14mins

Q7a

Complete each sentence using “always,” “never,” or “sometimes.”

- The diagonals of a parallelogram ______ bisect its angles.

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1.35mins

Q7b

Complete each sentence using “always,” “never,” or “sometimes.”

- A quadrilateral with one pair of congruent sides and one pair of parallel sides is _____ a parallelogram.

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0.38mins

Q7c

Complete each sentence using “always,” “never,” or “sometimes.”

- The diagonals of a rhombus are _______ congruent.

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0.28mins

Q7d

Complete each sentence using “always,” “never,” or “sometimes.”

- The consecutive sides of a rectangle are ______ congruent.

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0.34mins

Q7e

Complete each sentence using “always,” “never,” or “sometimes.”

- The diagonals of a rectangle are _______ perpendicular to each other.

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0.30mins

Q7f

Complete each sentence using “always,” “never,” or “sometimes.”

- The diagonals of a rhombus _______ bisect each other.

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1.56mins

Q7g

Complete each sentence using “always,” “never,” or “sometimes.”

- The diagonals of a parallelogram are _______ perpendicular bisectors of each other.

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0.53mins

Q7h

Describe the possible type(s) of quadrilateral that could be made with each set of diagonals. Justify your answers.

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1.00mins

Q8a

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0.30mins

Q8b

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1.10mins

Q8c

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0.22mins

Q8d

Test this conjecture: “At least one median in every triangle is the angle bisector at the vertex it intersects.”

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2.41mins

Q10

Test this conjecture. “The median from the vertex joining the two equal sides of an isosceles triangle always bisects the angle formed by the two equal sides.” Support your reasoning with examples.

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0.43mins

Q11

Test this conjecture. “A median of a triangle always divides the area of the triangle in half.” Support your reasoning with examples.

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0.41mins

Q12

What kind of figure is formed by joining the midpoints of the sides of a polygon? Explain your answer.

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1.33mins

Q13

Draw a circle and plot four points on it. Join adjacent points to form a quadrilateral. Extend a side at each vertex.

**a)** Compare each interior angle with the exterior angle at the opposite vertex. What do you notice?

**b)** Repeat your angle measurements for a quadrilateral whose vertices cannot all be plotted on one circle.

**c)** Form a conjecture from your observations, and explain how to test it.

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2.21mins

Q14

A trapezoid has parallel sides 6 cm and 46 cm. The other sides measure 37 cm and 13 cm.

**a)** Determine the length of the bimedian joining the two non—parallel sides.

**b)** The distance between the parallel sides is 12 cm. How far is the bimedian from each?

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1.45mins

Q15