7.6 Chapter Review
Textbook
9 Math workbook
Chapter
Chapter 7
Section
7.6
Solutions 31 Videos

Find the measure of each unknown angle.

Q1a

Find the measure of each unknown angle.

Q1b

Find the measure of each unknown angle.

Q1c

Find the measure of each unknown angle.

Q1d

Explain why the angle relationships shown are not possible.

Q2

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

a triangle with an obtuse exterior angle

Q3a

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

a triangle with three acute exterior angles

Q3b

Calculate the measure of each unknown angle.

Q4a

Calculate the measure of each unknown angle.

Q4b

Calculate the measure of each unknown angle.

Q4c

Calculate the measure of each unknown angle.

Q4d

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

a quadrilateral with three acute interior angles

Q5

Find the sum of the interior angles of each polygon.

pentagon

Q6a

Find the sum of the interior angles of each polygon.

heptagon (7-sided figure)

Q6b

Find the sum of the interior angles of each polygon.

Q6c

Find the sum of the interior angles of each polygon.

undecagon (11-sided figure)

Q6d

Find the sum of the interior angles of each polygon.

octagon

Q6e

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

Q7a

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

Q7b

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

Q7c

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

Q7d

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

Q8a

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

Q8b

a) Construct a regular hexagon.

b) Describe the method you used.

Q9

Show that the area of \triangle DGH is one quarter of the area of \triangle DEF.

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.

Q11

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.

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.

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.

Q12c

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.

The diagonal of a trapezoid bisects the area.