Presentation is loading. Please wait.

Presentation is loading. Please wait.

Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Published byHenry Webster Modified over 8 years ago

Similar presentations

Presentation on theme: "Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson."— Presentation transcript:

1 Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

2 Indirect Measurement Similar Triangles can be used to solve for inaccessible distances. To measure indirectly, ratio and proportion can be used.

3 Example: How do you measure the height of a flagpole? Indirect Measurement mirror Incoming angleOutgoing angle So which triangles are similar? MIRROR METHOD Triangles are similar by AA Similarity Postulate.

4 Indirect Measurement Shadow’s length is measurable. SHADOW METHOD Which triangles are similar? Why? Person’s height is measurable. Sun’s rays are parallel. Triangles are similar by AA Similarity Postulate.

5 Indirect Measurement

6

Download ppt "Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson."

Similar presentations

Honors Geometry Section 8. 5

Honors Geometry Section 8. 5
Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent.

Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent.
EXAMPLE 3 Standardized Test Practice.

EXAMPLE 3 Standardized Test Practice.
EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.

EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.
7-3 Proving Triangles Similar. Triangle Similarity Angle-Angle Similarity Postulate: If two angles of one triangle are congruent to two angles of another.

7-3 Proving Triangles Similar. Triangle Similarity Angle-Angle Similarity Postulate: If two angles of one triangle are congruent to two angles of another.
7-3 Proving Triangles Similar

7-3 Proving Triangles Similar
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelograms Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007)

Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007)
LESSON 8.3: Similar Polygons

LESSON 8.3: Similar Polygons
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Using Proportions to Solve Geometry Problems Section 6.3.

Using Proportions to Solve Geometry Problems Section 6.3.
~adapted from Walch Education Solving Problems Using Similarity and Congruence.

~adapted from Walch Education Solving Problems Using Similarity and Congruence.
Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and Angles Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
LESSON 8.3B: Applications OBJECTIVE: To solve real-life problems using similar triangles/indirect measurement.

LESSON 8.3B: Applications OBJECTIVE: To solve real-life problems using similar triangles/indirect measurement.
Math Similar Figures.

Math Similar Figures.
 When two objects are congruent, they have the same shape and size.  Two objects are similar if they have the same shape, but different sizes.  Their.

 When two objects are congruent, they have the same shape and size.  Two objects are similar if they have the same shape, but different sizes.  Their.
Exercises for Enrichment

Exercises for Enrichment
Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.

Area of Regular Polygons with exercises Geometry Regular Program SY Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.
CHAPTER 8 Geometry Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.1Basic Geometric Figures 8.2Perimeter 8.3Area 8.4Circles 8.5Volume.

CHAPTER 8 Geometry Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.1Basic Geometric Figures 8.2Perimeter 8.3Area 8.4Circles 8.5Volume.

Similar presentations

Ads by Google