Honors Geometry – Review Packet #3 Chapters 7 - 9
Chapter 7 Area
Figure
The area of a rectangle is the product of its _________
and __________.
Diagram & Area Formula
The area of a parallelogram is the product of a
____________ and the corresponding _____________
The area a triangle is __________ the product of a
_________ and the corresponding height.
The area of a trapezoid is _________ the product of the
__________ and the _________ of the bases.
The area of a rhombus or a kite is ___________ the
product of the lengths of the ______________.
Find the area of each figure. If your answer is not an integer, leave it in simplest radical form.
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Honors Geometry – Review Packet #3 Chapters 7 - 9
5.) In the figure shown, all angles are right angles.
The Pythagorean Theorem and its Converse
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the lengths of the
hypotenuse.
_________________________________________
You use the Pythagorean Theorem to solve for a missing side of ANY right triangle when you have values of two
other sides of the right triangle.
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Honors Geometry – Review Packet #3 Chapters 7 - 9
Find the value of each variable. If your answer is not an integer, leave it in simplest radical form.
4. For the rectangle below, find the length of its diagonal.
5.) A square has an area of 36 square inches. Find the length of the diagonal.
If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of
the other two sides, the triangle is ____________________.
If _________________________, the triangle is ___________________.
If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the
other two sides, the triangle is ______________________.
If ______________________________, the triangle is acute.
6.) The lengths of the sides of a triangle are given. Classify each triangle as acute, obtuse, or right.
a.) 7, 8, 9
b.) 15, 36, 39
c.) 10, 12, 16
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Honors Geometry – Review Packet #3 Chapters 7 - 9
Special Right Triangles
Label the generic sides of the special triangles shown below.
Use the properties of special triangles to find the value of each variable, If your answer is not an integer, leave it in
its simplest radical form.
ONLY USE PROPERTIES OF SPECIAL RIGHT TRAINGLES WHEN YOU KNOW YOU HAVE A SPECIAL RIGHT
TRIANGLE!!!!!
Circles:
The area of a circle is ______________________
The circumference of a circle is ______________________
1.) If the circumference of a circle is 36π in., what is the radius of the circle and what is the area of the circle?
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Honors Geometry – Review Packet #3 Chapters 7 - 9
Use the formulas for area of a circle, circumference of a circle, arc length, and area of a sector to solve the following
problems.
Find the length of the aarcs shown.
4.) The circle below has a diameter of 46 units. Arc AB on the circle has an arc length of 24 units. What is the
measure of AOB ?
Find the area of the sectors shown.
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Honors Geometry – Review Packet #3 Chapters 7 - 9
Chapter 8 – Similarity
Be able to solve proportions – page 419 # 15 -20 & 35 - 42
Similarity in Right Triangles – be able to solve for variables using similarity in right triangles – page 442 #15 – 20, 34 –
36
Be able to use the properties of similar triangles to solve for a variable. page 435 Check Understanding problem #4,
page 437 # 28.
Chapter 9 – Right Triangle Trigonometry –
Be able to write the tangent, sine , and cosine ratios for a given angle – page 472 #1 – 3, page 479 #1 – 3
Be able to use the tangent ratio of an angle to calculate the value of that angle – page 473 # 11 - 16
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