7-4 Similarity in Right Triangles Students will use the special case of drawing an altitude in right triangles to find similar triangles. They will also.

Slides:

Advertisements

Similar presentations

8-4 Angles of Elevation and Depression

Advertisements

12-5 Circles in the Coordinate Plane

Surface Areas of Prisms and Cylinders To find the surface area of a prism and a cylinder. Students will define, explicitly use, and solve for the terms.

10-5 Trigonometry and Area

10-5 Volumes of Prisms and Cylinders To find the volume of a prism and the volume of a cylinder. In solving for volume of prisms and cylinders, students.

10-3 Areas of Regular Polygons To find the area of a regular polygon In finding the area of a regular polygon, students will find a polygon of n sides.

4-7 U SING C ORRESPONDING P ARTS OF C ONGRUENT T RIANGLES To identify congruent overlapping triangles To prove two triangles congruent by first proving.

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.

Students will explicitly define, use, and calculate exterior and interior angles of triangles.

11-1 Space Figures and Cross Sections

8-1 The Pythagorean Theorem and Its Converse

7.4 Similarity in Right Triangles In this lesson we will learn the relationship between different parts of a right triangle that has an altitude drawn.

Section 8-1 Similarity in Right Triangles. Geometric Mean If a, b, and x are positive numbers and Then x is the geometric mean. x and x are the means.

Mean Proportional.

7-4 Similarity in Right Triangles

Section 9.1 Similar Right Triangles OBJECTIVE: To find and use relationships in similar right triangles BIG IDEAS: REASONING AND PROOF VISUALIZATIONPROPORTIONALITY.

 The following questions are to help you see how well you understood today’s lesson.  Please follow up with me if you don’t.

12-2 Chords and Arcs To use congruent chords, arcs, and central angles. To use perpendicular bisectors to chords. With a knowledge of proving triangles.

9.1 (old geometry book) Similar Triangles

Warm Up Week 7. Section 9.1 Day 1 I will solve problems involving similar right triangles. Right Triangle – Altitude to Hypotenuse If the altitude.

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.

Chapter 8 Lesson 4 Objective: To find and use relationships in similar right triangles.

Objective: To identify properties of medians and altitudes of a triangle 5-4 Medians and Altitudes Using medians and altitudes of a triangle, students.

To compare and find the areas and volumes of similar solids. Students will analyze the relationship between the scale factor, surface area, and volume.

5-3 Bisectors in Triangles To identify properties of perpendicular bisectors and angle bisectors. Using perpendicular and angle bisectors, students will.

6-5 Conditions for Rhombuses, Rectangles, and Squares

Use Similar Right Triangles

9-1 Translations To identify isometries To find translation images of figures.

Similar Right triangles Section 8.1. Geometric Mean The geometric mean of two numbers a and b is the positive number such that a / x = x / b, or:

Special Right Triangles Lesson 7-3: Special Right Triangles1.

4-6 CONGRUENCE IN RIGHT TRIANGLES To prove triangles congruent using the HL Theorem.

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.

11-5 Volumes of Pyramids and Cones To find the volume of a pyramid and of a cone With a knowledge of Cavalier’s Principle with respect to prisms and cylinders,

11-3 Surface Areas of Pyramids and Cones

2-2 Conditional Statements

7-5 Proportions in Triangles

7-1 Areas of Parallelograms and Triangles

10-2 Areas of Trapezoids, Rhombuses, and Kites

To verify and use properties of trapezoids and kites

To find reflection images of figures

10-8 Geometric Probability

5-2 Bisectors in Triangles

Student will be able to draw and identify rotations.

1-8 Check Skills.

To identify and apply similar polygons

5-4 Medians and Altitudes

6-2 Properties of Parallelograms

4-1 Quiz The following questions are designed to help you decide how well you understand today’s lesson. Please ask me if you.

3-3 Proving Lines Parallel

5-1 Midsegments of Triangles

4-4 Using Corresponding Parts of Congruent Triangles

7.3 Use Similar Right Triangles

To use properties of a tangent to a circle.

5-3 Bisectors in Triangles

12-4 Angle Measures and Segment Lengths

3-3 parallel Lines and the triangle sum theorem

6-4 Special Parallelograms

10-4 Perimeters and Areas of similar Figures

7-7 Areas of Circles and Sectors To find the areas of circles, sectors, and segments of circles With the formula for the area of a circle, students.

Students will consistently and appropriately use the parallel symbol in descriptions of lines and planes. 3-1 LINES AND ANGLES To identify relationships.

Special Right Triangles

Special Right Triangles

8-2 Special Right Triangles

Special Right Triangles

Special Right Triangles

4-5 Isosceles and Equilateral Triangles

3-8 Quiz The following questions are to help you decide if you understood today’s lesson. Please take time to see me if you.

Special Right Triangles

Presentation transcript:

7-4 Similarity in Right Triangles Students will use the special case of drawing an altitude in right triangles to find similar triangles. They will also define and make explicit use of the term “geometric mean” based on this altitude.

7-4 Quiz The following questions are designed for you to decide how well you understood today’s lesson. Please ask for help if you miss one. Record the number you get right on your portfolio sheet.

1. Find the geometric mean of the pair of numbers. 175 and 7 A.55 B.45 C.35 D.40 Non-Response Grid

2. Find the geometric mean of the pair of numbers. 5 and 6 Non-Response Grid

3. Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale. Non-Response Grid

4. Solve for x. Non-Response Grid

5. What are the values of a and b? Non-Response Grid

ASSIGNMENT 7-4 p # even Be sure to RATE your understanding of the lesson after you finish it AND give me 2 complete sentences as to why you rated yourself that way.