Geometry 5_8 Study Guide Applying Special Right Triangles

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Pre-AP Geometry 5-8 Study Guide: Applying Special Right Triangles (pp 368-371)
Page 1 of 6
Attendance Problems. Find the value of x. Give your
answer in simplest radical form.
1.
2.
Simplify each expression.
3.
12
3
4.
20
2
•I can justify and apply properties of 45°-45°-90° triangles.
•I can justify and apply properties of 30°- 60°- 90° triangles.
Common Core: CC.9-12.G.SRT.6 Understand that by similarity,
side ratios in right triangles are properties of the angles in the
triangle, leading to definitions of trigonometric ratios for acute
angles.
Pre-AP Geometry 5-8 Study Guide: Applying Special Right Triangles (pp 368-371)
Page 2 of 6
Refer to video example 3. Find the value of x. If necessary,
write your answer in simplest radical form.
A.
B.
Guided Practice. Find the value of x. If necessary, write
your answer in simplest radical form.
5.
6.
Pre-AP Geometry 5-8 Study Guide: Applying Special Right Triangles (pp 368-371)
Page 3 of 6
Refer to video example 2.
7. Guided Practice. Tessa’s other dog is wearing a square
bandana with a side length of 42 cm. What would you expect the
circumference of the other dog’s neck to be? Round to the
nearest centimeter.
Pre-AP Geometry 5-8 Study Guide: Applying Special Right Triangles (pp 368-371)
Page 4 of 6
Refer to example 3. Find the values of x and y. Give your
answers in simplest radical form.
A.
B.
Pre-AP Geometry 5-8 Study Guide: Applying Special Right Triangles (pp 368-371)
Page 5 of 6
Guided Practice. Find the values of x and y. Give your
answers in simplest radical form.
8.
10.
9.
11.
Pre-AP Geometry 5-8 Study Guide: Applying Special Right Triangles (pp 368-371)
Page 6 of 6
Refer to example 4.
12. Guided Practice. A manufacturer wants to make a larger
clock with a height of 30 centimeters. What is the length of each
side of the frame? Round to the nearest tenth.
5.8 Assignment
(pp 372-373) 10-16 even, 17, 18, 20, 23, 26, 29.
(p 377) 6, 9, 11, 12.
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