Triangles, Congruence and Pythagoras' Theorem notes
16 notes by 14 users
This page gathers a small set of community-made notes on triangle types, side lengths and Pythagoras’ theorem. School students can use them to practice identifying triangles and working through examples; teachers can find material for lessons. Most notes are at secondary level, with a few for primary pupils. Choose a note to start studying.
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Notes
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Pythagoream Theorem and Special Right Triangles Example 1:Q: What is the hypotenuse of the figure below? Show your work and explain how you got your answer.A: Hypotenuse = 5√2 feet Steps: Check if there are two angles that are equal to each other (45°.) If so...
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Thursday, October 27, 2016 Side Splitter TheoremSide Splitter Theorem Definition: If a line is parallel to a side of a triangle and intersects the other two sides, then this line divides those two sides proportionally.Source #1: http://mathbits...
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Untitled Section 5.5 Special Right Triangles Note: Triangles in this section are always right triangles! 45-45-90 Triangles Theorem 1: In a triangle whose angles measure 0 45 , 0 45 , and 0 90 , the hypotenuse has a length equ...
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Top 7 Triangle Tricks 1. Similar triangles are often hidden. 2.The height of a triangle may be found outside of the triangle itself 3.Certain integers that satisfy the Pythagorean Theorem are often used as the lengths of triangle legs
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Sum of Interior angles of a triangle Sum of Interior angles of a triangle Number 1You have a triangle with the measurements 65 degrees and 57 degrees.To find the other measurement to complete the triangle you would have to add the two measurements which ...
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Untitled 5.2 A point is on the perpendicular bisector of a triangle if it is equidistant from the endpoints of the segment, and vice versa. Same goes with an angle bisector. [Theorums 5-2, 5-3, 5-4, 5-5] ...
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Triangle Inequality Rules The shortest side of a triangle is opposite the smalles angle. The longest side of a triangle is opposite the largest angle. The smallest angle is opposite the shortest side.
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Classifying Triangles Practice Answers: Classifying Triangles 2 angles Acute and 1 angle obtuse. Scalene 2 angles acute and one angle obtuse. Scalene One right angle and 2 acute angles. Isosceles All angles acute and is Isosceles All angle...
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math chapter 4 Classifying triangles one way to classify triangles is by the measures of its angles. if all three of the angles of a triangle has acute angles, then the triangle is an acute triangle if all three of the angles of a t...
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PYTHAGORAS most imporant formula A sqaured + B sqaured = C sqaured steps;1. lable your sides 2. sqaure a3. then b4. add the two numbers together5. then sqaure root the answer if when labling your sizes you only h...
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Wednesday, October 26, 2016
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Triangle Mid-segment Theorem Mid-segment- of a triangle is a segment that connects the midpoints of two sides of a triangle.The demonstration for the picture below...In the figure D is the midpoint of line AB and E is the midpoint of line ACSo, l...
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Untitled LESSON 2: CONGRUENT TRIANGLES Two triangles many be congruent, similar, or neither. The order of the letters naming the vertices of congruent or similar triangles indicates the order in which the vertices, sides, and ...
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Untitled The Pythagorean triads consist of three positive (a, b, c ) The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 ...
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triangles - created from Mind Map_1 right angled90 degree angle isosceles2 sides the same length, 2 angles the same scaleneodd one out
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Finding the Hypotenuse The longest side of a triangle is called a hypotenuse. In this case it is line ab. ab squared = ac squared + cb squared The square ofthe hypotenuse
More Triangles, Congruence and Pythagoras' Theorem resources
About triangles, congruence and pythagoras' theorem notes
GoConqr OriginalTriangles, Congruence and Pythagoras' Theorem notes
These notes offer different ways into the unit. Classifying Triangles contains practice answers based on angles and sides. Another note works through finding a missing interior angle. There are also notes on the side splitter theorem and Triangle Mid-segment Theorem.
For a worked example, start with the note on Pythagoras’ theorem and special right triangles. It shows steps for finding a hypotenuse, so you can follow the approach before trying a similar question yourself. A separate note sets out steps for using the theorem.
Study with notes
Read a short section, then cover it and write down the idea in your own words. Return to the note to check your explanation. If you want to test an idea with questions, switch to a quiz on the unit page. A mind map can help when you want to see how ideas connect.
Pick a note that matches the topic you are studying and work through it at your own pace.
Frequently asked questions
Which note should I start with?
Start with Classifying Triangles if you are working on identifying triangles by their angles and sides. Its practice answers give you examples to check. For a worked calculation, look at the note on Pythagoras’ theorem and special right triangles instead.
What topics do these notes cover?
The notes include classifying triangles, finding a missing interior angle, side and angle relationships, and the triangle mid-segment theorem. There is also a note on the side splitter theorem and a worked example involving Pythagoras’ theorem and a special right triangle.
Are these notes free to use?
Yes. Every note listed here is free to open and study without an account. The notes were made by GoConqr users rather than GoConqr. You can read a note on the topic you need and compare its explanation with your own work.