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33 Videos

Find the measure of each unknown angle.

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Q1a

Find the measure of each unknown angle.

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Q1b

Find the measure of each unknown angle.

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Q1c

Find the measure of each unknown angle.

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Q1d

Explain why the angle relationships shown are not possible.

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Q2

For each description , draw an example of the triangle or explain why it cannot exist.

a triangle with an obtuse exterior angle

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Q3a

For each description , draw an example of the triangle or explain why it cannot exist.

a triangle with three acute exterior angles

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Q3b

Calculate the measure of each unknown angle.

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Q4a

Calculate the measure of each unknown angle.

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Q4b

Calculate the measure of each unknown angle.

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Q4c

Calculate the measure of each unknown angle.

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Q4d

For each description, draw an example of the quadrilateral or explain why it cannot exist.

a quadrilateral with three acute interior angles

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Q5a

For each description, draw an example of the quadrilateral or explain why it cannot exist.

a quadrilateral with four acute interior angles

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Q5b

Find the sum of the interior angles of each polygon.

pentagon

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Q6a

Find the sum of the interior angles of each polygon.

heptagon (7-sided figure)

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Q6b

Find the sum of the interior angles of each polygon.

pentadecagon (15-sided figure)

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Q6c

Find the sum of the interior angles of each polygon.

undecagon (11-sided figure)

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Q6d

Find the sum of the interior angles of each polygon.

octagon

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Q6e

Find the measure of the interior angle of a regular polygon with 6 sides.

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Q7a

Find the measure of the interior angle of a regular polygon with 7 sides.

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Q7b

Find the measure of the interior angle of a regular polygon with 12 sides.

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Q7c

Find the measure of the interior angle of a regular polygon with 15 sides.

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Q7d

How many sides does a polygon have if the sum of its interior angles is `1080^{\circ}`

?

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Q8a

How many sides does a polygon have if the sum of its interior angles is `1260^{\circ}`

?

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Q8b

a) Construct a regular hexagon.

b) Describe the method you used.

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Q9

Show that the area of `\triangle DGH`

is one quarter of the area of `\triangle DEF`

.

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Q10

For each of these statements, either explain why it is true or draw a counter-example to show that it is false.

The median to the vertex opposite the unequal side of an isosceles triangle bisects the angle at the vertex.

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Q11a

For each of these statements, either explain why it is true or draw a counter-example to show that it is false.

The medians of an isosceles triangle are equal in length.

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Q11b

For each of these statements, either use a diagram to help explain why the statement is true, or draw a counter-example and explain why the statement is false.

A line segment joining the midpoints of opposite sides of a rhombus bisects its area.

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Q12a

For each of these statements, either use a diagram to help explain why the statement is true, or draw a counter-example and explain why the statement is false.

A line segment joining the midpoints of two sides of a parallelogram bisects the area of the parallelogram.

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Q12b

For each of these statements, either use a diagram to help explain why the statement is true, or draw a counter-example and explain why the statement is false.

A line segment joining the midpoints of the parallel sides of a trapezoid bisects its area.

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Q12c

The diagonal of a trapezoid bisects the area.

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Q12d

Describe how you can use geometry software to determine the types of quadrilaterals in which the diagonals bisect the area of the quadrilateral.

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Q13