Bell Ringer 1. How many triangles do you see? 2. What do the triangles have in common? Draw the following right triangle with the altitude dropped from.

Slides:



Advertisements
Similar presentations
Honors Geometry Section 8. 5
Advertisements

9.1 Similar Right Triangles. Theorem If an altitude is drawn to the hypotenuse of a Right triangle, then it makes similar triangles to the original Right.
1/23/12 Chapter 6 Section 6.3/6.4 Similar Triangles
Geometry Bell Ringer January 6 & 7. Agenda Extended Bell Ringer Continue Percent Word problems assignment Review Homework and Percent word problems Exit.
Bell Ringer 9/21/15 1. Simplify 2x 2 6x 2. Add Subtract 2 _
7.4 Similarity in Right Triangles
7-4 Similarity in Right Triangles
8.4: Similarity in Right Triangles Objectives: Students will be able to… Find the geometric mean between 2 numbers Find and use relationships between similar.
9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse.
9.1 (old geometry book) Similar Triangles
Similar Right Triangles
Similar Right Triangle Theorems Theorem 8.17 – If the altitude is drawn to the hypotenuse if a right triangle, then the two triangles formed are similar.
Bellwork 1)Are the triangles similar? 2)Find x 80° 70° 80° 30° x.
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle Oblique triangle is a triangle that contains no right angle.
Similar Figures and Scale Drawings
Drill Write your homework in your planner Take out your homework Find all angle measures:
Bell Ringer 30  60  3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a triangle in word problems.
Sec: 6.5 Sol:  If two triangles are similar, then the _____________ are proportional to the measures of corresponding sides. Remember: The perimeter.
4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.
Bell Work What is a centroid? What is a circumcenter?
Use Similar Right Triangles
Bell Ringer  We know that opposite sides of parallelograms are both congruent and parallel. We know that opposite angles of parallelograms are congruent.
HONORS GEOMETRY 7.5: Parts of Similar Triangles. Do Now:
Bell Ringer Right Triangles in the Unit Circle Tuesday, May 10, 2016.
9.3 Altitude-On-Hypotenuse Theorems (a.k.a Geometry Mean)
WARM UP 12-1 Are they triangles below similar? If yes, explain and write a similarity statement. A B C X Y Z
 Lesson 7-4.  Draw one of the diagonals for your rectangle to form two right triangles. Q: What is the relationship between the two right triangles?
7-1: Geometric Mean. Geometric Mean Given two numbers a and b, you can find the geometric mean by solving the proportion: The geometric mean of two numbers.
Bell Ringer Write an example of each of the following:
7.4 Showing Triangles are Similar: SSS and SAS
Proving Triangles Similar
Warm-up Solve for x x x-3 4 x+6 x+1 x
Similarity Postulates
Similarity in Right Triangles
Similarity in Triangles
Bell Ringer 1. What is the distance formula?
Bell Ringer Write an example of each of the following:
Bell Ringer How many degrees is a radian?
Bell Ringer Write an example of each of the following:
Similar Triangles Geometry Ms. Hough 7-3.
عناصر المثلثات المتشابهة Parts of Similar Triangles
Similarity, Congruence, & Proofs
Bell Ringer How many degrees is a radian?
Chapter 7 Lesson 5: Parts of Similar Triangles
Bell Ringer What 2 important pieces of information does the equation of a circle in standard form give you? 2. How do you know an equation.
Bell Ringer 1. Why is an absolute value function a piecewise function?
9.3 Warmup Find the value of x and y
Bell Ringer What 2 important pieces of information does the equation of a circle in standard form give you? 2. How do you know an equation.
Corresponding Parts of Similar Triangles
Bell Ringer 1. What is the proportion to determine arc length?
Section 7–1 Geometry PreAP, Revised ©2014
Bell Ringer 12/6/18 1. What is the restriction on rational expressions which results in extraneous solutions? 2. When solving equations with fractions,
Bell Ringer What are the six trig functions?
bell ringer How do you “convert”?
Bell Ringer What is a function?
Unit 4A – Geometric Figures Lesson 3 Triangles
Bell Ringer What are special right triangles?
Geometry Tuesday ACT Prep Discussion/Notes/Guided Practice
Using Similar Right Triangles
Unit 4A – Geometric Figures Complementary and Supplementary Angles
bell ringer What shape is the base of a cube? Sides?
Bell Ringer What is the Compound Interest formula?
Bell Ringer Write an example of each of the following: Radius ____
Bell Ringer Write an example of each of the following:
Bell Ringer How can you determine inverse functions…
Bell Ringer Why is an absolute value function technically a piecewise function? Explain the “restriction” part of piecewise functions. How do you.
Bell Ringer
Angles, Radii, and chords
Module 16: Lesson 4 AA Similarity of Triangles
Presentation transcript:

Bell Ringer 1. How many triangles do you see? 2. What do the triangles have in common? Draw the following right triangle with the altitude dropped from the right angle.

Proportions in Right Triangles Friday, February 5, 2016

Geometric Mean

Proportions in Right Triangles If you draw the altitude through the right angle of a triangle, you create 3 similar triangles.

Proportions in Right Triangles

Examples

Assignments  Classwork: Geometry Textbook p #11-33  Homework: Proportions in Right Triangles

Exit Ticket  1. What does Geometric Mean mean?  2. How do you construct an altitude of a triangle?  3. If triangles are similar, their sides are _______.  Remember, Unit 1 Test Tuesday, Feb. 9th