Chapter Review Reasoning with Geometry
Chapter
Chapter 7
Section
Chapter Review Reasoning with Geometry
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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

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

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0.30mins
Q8b

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

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1.10mins
Q8c

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

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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