Similar Triangles Geometry ANGLEANGLE SIMILARITY POSTULATE AA If
![Similar Triangles Geometry Similar Triangles Geometry](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-1.jpg)
![ANGLE-ANGLE SIMILARITY POSTULATE (AA~) If two angles of one triangle are congruent to two ANGLE-ANGLE SIMILARITY POSTULATE (AA~) If two angles of one triangle are congruent to two](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-2.jpg)
![SIDE-SIDE (SSS~) SIMILARITY THEOREM If the corresponding sides of two triangles are proportional, then SIDE-SIDE (SSS~) SIMILARITY THEOREM If the corresponding sides of two triangles are proportional, then](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-3.jpg)
![SIDE-ANGLE-SIDE (SAS~) SIMILARITY THEOREM If an angle of one triangle is congruent to an SIDE-ANGLE-SIDE (SAS~) SIMILARITY THEOREM If an angle of one triangle is congruent to an](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-4.jpg)
![Determine whether the triangles are similar. If so, write a similarity statement. Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-5.jpg)
![Determine whether the triangles are similar. If so, write a similarity statement. Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-6.jpg)
![Determine whether the triangles are similar. If so, write a similarity statement. Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-7.jpg)
![Determine whether the triangles are similar. If so, write a similarity statement. Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-8.jpg)
![Determine whether the triangles are similar. If so, write a similarity statement. Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-9.jpg)
![Example In the figure, ∠ADB is a right angle. Which of the following would Example In the figure, ∠ADB is a right angle. Which of the following would](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-10.jpg)
![Properties of Similarity is Reflexive, Symmetric, and Transitive! Properties of Similarity is Reflexive, Symmetric, and Transitive!](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-11.jpg)
![Example Find BE and AD. Example Find BE and AD.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-12.jpg)
![Example Find QP and MP. Example Find QP and MP.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-13.jpg)
![Example Find WR and RT. Example Find WR and RT.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-14.jpg)
![](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-15.jpg)
![Example You are at an indoor climbing wall. To estimate the height of the Example You are at an indoor climbing wall. To estimate the height of the](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-16.jpg)
![Example Hallie is estimating the height of the Superman roller coaster in Mitchellville, Maryland. Example Hallie is estimating the height of the Superman roller coaster in Mitchellville, Maryland.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-17.jpg)
![Example At another indoor climbing wall, a person whose eyes are 6 feet from Example At another indoor climbing wall, a person whose eyes are 6 feet from](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-18.jpg)
![Example Adam is standing next to the Palmetto Building in Columbia, South Carolina. He Example Adam is standing next to the Palmetto Building in Columbia, South Carolina. He](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-19.jpg)
- Slides: 19
![Similar Triangles Geometry Similar Triangles Geometry](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-1.jpg)
Similar Triangles Geometry
![ANGLEANGLE SIMILARITY POSTULATE AA If two angles of one triangle are congruent to two ANGLE-ANGLE SIMILARITY POSTULATE (AA~) If two angles of one triangle are congruent to two](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-2.jpg)
ANGLE-ANGLE SIMILARITY POSTULATE (AA~) If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
![SIDESIDE SSS SIMILARITY THEOREM If the corresponding sides of two triangles are proportional then SIDE-SIDE (SSS~) SIMILARITY THEOREM If the corresponding sides of two triangles are proportional, then](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-3.jpg)
SIDE-SIDE (SSS~) SIMILARITY THEOREM If the corresponding sides of two triangles are proportional, then the triangles are similar.
![SIDEANGLESIDE SAS SIMILARITY THEOREM If an angle of one triangle is congruent to an SIDE-ANGLE-SIDE (SAS~) SIMILARITY THEOREM If an angle of one triangle is congruent to an](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-4.jpg)
SIDE-ANGLE-SIDE (SAS~) SIMILARITY THEOREM If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
![Determine whether the triangles are similar If so write a similarity statement Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-5.jpg)
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
![Determine whether the triangles are similar If so write a similarity statement Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-6.jpg)
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
![Determine whether the triangles are similar If so write a similarity statement Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-7.jpg)
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
![Determine whether the triangles are similar If so write a similarity statement Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-8.jpg)
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
![Determine whether the triangles are similar If so write a similarity statement Explain your Determine whether the triangles are similar. If so, write a similarity statement. Explain your](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-9.jpg)
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
![Example In the figure ADB is a right angle Which of the following would Example In the figure, ∠ADB is a right angle. Which of the following would](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-10.jpg)
Example In the figure, ∠ADB is a right angle. Which of the following would not be sufficient to prove that ∆ADB ~ ∆CDB?
![Properties of Similarity is Reflexive Symmetric and Transitive Properties of Similarity is Reflexive, Symmetric, and Transitive!](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-11.jpg)
Properties of Similarity is Reflexive, Symmetric, and Transitive!
![Example Find BE and AD Example Find BE and AD.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-12.jpg)
Example Find BE and AD.
![Example Find QP and MP Example Find QP and MP.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-13.jpg)
Example Find QP and MP.
![Example Find WR and RT Example Find WR and RT.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-14.jpg)
Example Find WR and RT.
![](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-15.jpg)
![Example You are at an indoor climbing wall To estimate the height of the Example You are at an indoor climbing wall. To estimate the height of the](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-16.jpg)
Example You are at an indoor climbing wall. To estimate the height of the wall, you place a mirror on the floor 85 feet from the base of the wall centered in the mirror. You are 6. 5 feet from the mirror and your eyes are 5 feet above the ground. Use similar triangles to estimate the height of the wall.
![Example Hallie is estimating the height of the Superman roller coaster in Mitchellville Maryland Example Hallie is estimating the height of the Superman roller coaster in Mitchellville, Maryland.](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-17.jpg)
Example Hallie is estimating the height of the Superman roller coaster in Mitchellville, Maryland. She is 5 feet 3 inches tall and her shadow is 3 feet long. If the length of the shadow of the roller coaster is 40 feet, how tall is the roller coaster?
![Example At another indoor climbing wall a person whose eyes are 6 feet from Example At another indoor climbing wall, a person whose eyes are 6 feet from](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-18.jpg)
Example At another indoor climbing wall, a person whose eyes are 6 feet from the floor places a mirror on the floor 60 feet from the base of the wall. They then walk backwards 5 feet before seeing the top of the wall in the center of the mirror. Use similar triangles to estimate the height of this wall.
![Example Adam is standing next to the Palmetto Building in Columbia South Carolina He Example Adam is standing next to the Palmetto Building in Columbia, South Carolina. He](https://slidetodoc.com/presentation_image_h2/a065ae17e75f51fdb3789c94639b172f/image-19.jpg)
Example Adam is standing next to the Palmetto Building in Columbia, South Carolina. He is 6 feet tall and the length of his shadow is 9 feet. If the length of the shadow of the building is 322. 5 feet, how tall is the building?
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