3-3 parallel Lines and the triangle sum theorem

Slides:

Advertisements

Similar presentations

10-5 Trigonometry and Area

Advertisements

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.

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

Classifying Triangles. Classifying Triangles By Their Angles Acute Right Obtuse.

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.

8-1 The Pythagorean Theorem and Its Converse

Review: Classifying Triangles and The Triangle Angle Sum Theorem

Warmup – grab a book Room , submit answers for x and y.

EQUILATERAL & ISOSCELES Quiz tomorrow. CLASSIFY the triangle by ANGLES and SIDES Angles: acute, obtuse, right Sides:equilateral, isosceles, scalene 91.

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.

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.

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.

Lesson 3.3 Classifying Triangles & Triangle Angle-Sum Theorem Do Now: Find the measure of angle and x+12 are complementary. 62+x+12 = 90 degrees.

Classifying Triangles Lesson Classifying by Angle Acute triangles have three acute angles. Obtuse triangles have one obtuse angle. Right triangles.

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

Bell work Use the diagram to find x. b||c. a 80° b c x + 30.

3-5 Parallel Lines and Triangles I can apply the triangle angle sum theorem to find the values of variables. I can apply the exterior angle theorem to.

What’s your angle? Practice, practice, and more practice.

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

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

2.1/2.2 Angles and Triangles Warm-up (IN)

2-1 Patterns and Inductive Reasoning

Geometry Warm ups Simplify each radical to simplest radical form.

Rules of Pythagoras All Triangles:

L.O angles quiz ? obtuse acute reflex right.

Entry Task 3. Draw a large scalene triangle on the sheet of yellow copy paper. Then cut it out. We will be using the triangles for our lesson today.

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

3-4 Parallel and Perpendicular lines

10-8 Geometric Probability

5-2 Bisectors in Triangles

3-4 Parallel and Perpendicular lines

6-2 Properties of Parallelograms

Triangle Congruence by ASA and AAS

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

L.O angles quiz ? obtuse acute reflex right.

To use properties of a tangent to a circle.

5-3 Bisectors in Triangles

12-4 Angle Measures and Segment Lengths

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.

8-2 Special Right Triangles

2-6 Proving Angles Congruent

Triangle sum and exterior angles

Warm Up Your folder How many angles are in this picture?

Triangles Lesson 10-4.

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.

Presentation transcript:

3-3 parallel Lines and the triangle sum theorem

Finding Angle Measures in Triangles What kind of triangle is this? ACUTE What happens when you move all three angles together? 180o 2 3 1 3 2

Finding Angle Measures in Triangles What kind of triangle is this? RIGHT What happens when you move all three angles together? 180o 3 2 1 3 2

Finding Angle Measures in Triangles What kind of triangle is this? Obtuse What happens when you move all three angles together? 180o 2 3 1 2 3

Be sure to ask if you miss one and don’t know why! 3-5 Quiz Use the following questions to assess yourself and see how well you understand today’s lesson. Be sure to ask if you miss one and don’t know why! Remember to record your score on your portfolio sheet.

1. Find the value of k. The diagram is not to scale. 17 73 118 107 Non-Response Grid

2. Find the value of x. The diagram is not to scale. 33 162 147 75 Non-Response Grid

3. A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle? 30 40 5 20 Non-Response Grid

4. The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 26 and m3 is 70. Find m1 . The diagram is not to scale. 96 106 116 86 Non-Response Grid

5. Find the value of the variable. The diagram is not to scale. 66 19 29 43 Non-Response Grid

Assignment 3-5 p.175-177 #10-34 even You will need your compass tomorrow!!