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Holt McDougal Geometry
8-1 Similarity in Right Triangles8-1 Similarity in Right Triangles
Holt GeometryHolt McDougal Geometry
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Warm Up1. Write a similarity statement
comparing the two triangles.
Simplify.
2. 3.
Solve each equation.
4. 5. 2x2 = 50
Holt McDougal Geometry
8-1 Similarity in Right Triangles
The Arithmetic Sequence:This is a sequence where each consecutive number is found by adding or subtracting the previous number by a certain factor.
Ex:
The Arithmetic Mean: Average the numbersWhat is the arithmetic mean of 5 and 10?
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
1. Find the Geometric Mean between 5 and 25.
2. Find the Geometric Mean between 3 and 4.
3. Find the Geometric Mean between 10 and 15.
Holt McDougal Geometry
8-1 Similarity in Right Triangles
In a right triangle, an altitude drawn from the vertex of the right angle to the hypotenuse forms two right triangles.
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right TrianglesWrite 3 proportions that can be used with this triangle.
Holt McDougal Geometry
8-1 Similarity in Right TrianglesWrite 3 proportions that can be used with this triangle.
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Example 3: Finding Side Lengths in Right Triangles
Find x, y, and z.
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Find u, v, and w.
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Holt McDougal Geometry
8-1 Similarity in Right Triangles
To estimate the height of a Douglas fir, Jan positions herself so that her lines of sight to the top and bottom of the tree form a 90º angle. Her eyes are about 1.6 m above the ground, and she is standing 7.8 m from the tree. What is the height of the tree to the nearest meter?
Holt McDougal Geometry
8-1 Similarity in Right TrianglesA surveyor positions himself so that his line of sight to the top of a cliff and his line of sight to the bottom form a right angle as shown.What is the height of the cliff to the nearest foot?
Holt McDougal Geometry
8-1 Similarity in Right Triangles
Lesson Quiz: Part I Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form.
1.8 and 18
2. 6 and 15
Holt McDougal Geometry
8-1 Similarity in Right Triangles
3. If PS = 6 and PT = 9, find PR.
4. If TP = 24 and PR = 6, find RS.
