Triangles, Congruence and Pythagoras' Theorem
326 resources created by 199 users
This Triangles, Congruence and Pythagoras' Theorem page on GoConqr gathers community-made quizzes, mind maps, flashcards and notes, from classifying triangles and angle sums to congruence rules, similarity and right-triangle work. It's built for school students revising a topic and teachers after ready-made material. There are over 290 resources here, including more than 30 quizzes, over 100 mind maps and over 100 flashcard decks, mostly at secondary level. Pick a quiz to find your gaps, then see what the maps and decks add.
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Top Triangles, Congruence and Pythagoras' Theorem resources
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16 questionsSimilarity - proportions Similarity in proportional triangles
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Flowchart Triangle formulae Which formula to use on a triangle depending on what information is given. -
15 questionsSimilar Triangles, Proportions, and Side Splitting Theorem Find the value of x.
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10 questionsTriangles Quiz A triangle can be described as a 'polygon'.
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5 questions5.2b Exterior Angle Theorem Quick Check
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Mind map Similarity and Congruency
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12 questionsPythagorean Theorem & Converse Practice Pythagorean Theorem & converse practice
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3 questions30-60-90 & 45-45-90 Triangles Which of the following answer choices indicates the correct side lengths of the figure?
Quizzes
See all 42 quizzes-
16 questionsSimilarity - proportions Similarity in proportional triangles
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15 questionsSimilar Triangles, Proportions, and Side Splitting Theorem Find the value of x.
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10 questionsTriangles Quiz A triangle can be described as a 'polygon'.
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5 questions5.2b Exterior Angle Theorem Quick Check
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12 questionsPythagorean Theorem & Converse Practice Pythagorean Theorem & converse practice
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3 questions30-60-90 & 45-45-90 Triangles Which of the following answer choices indicates the correct side lengths of the figure?
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20 questionsCongruent Triangles vs. Similar Triangles If an acute angle of one right triangle is equal respectively to an acute angle of the other, the two right...
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23 questionsTriangle Congruencies Proofs Check which congruence postulate you would use to prove that the two triangles are congruent.
Mind maps
See all 135 mind mapsFlashcards
See all 125 flashcards-
7 cardsJohn Karl Ford's Vocabulary Draw Perpendicular Bisector Theorem
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5 cardsPythagorean Theorem
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25 cardsUntitled Joe is making a sun catcher for a glass project with various types of different sized triangles including r...
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13 cardsTriangles notes Categorizing triangles based on side lengths
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28 cardsTerrific Triangles What type of triangle is this?
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10 cardsChapter 5 | 5.1 Angle Bisector (of a triangle)
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15 cardsStudy guide
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17 cardsUntitled
Flowcharts
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...
Slides
Topics in Triangles, Congruence and Pythagoras' Theorem
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About Triangles, Congruence and Pythagoras' Theorem
GoConqr OriginalWhat this unit covers
The resources here follow triangles from the basics to proof and calculation. You will find sets on classifying triangles, the angle sum, exterior angles, isosceles and equilateral triangles, and the triangle inequality. Further on come congruence (SSS, SAS, ASA, AAS), similarity, the side splitter theorem and the Pythagorean theorem with special right triangles.
Where to start
Begin with the basics. The Triangles Quiz opens with simple true or false statements, such as what a polygon is and what the internal angles add up to. The Triangle Overview quiz and the Classifying Triangles mind map are good companions.
- Check angles with the 5.2b Exterior Angle Theorem Quick Check.
- Move to congruence with the Similarity and Congruency mind map, which sets out SSS, SAS, ASA and AA conditions.
- Practise with the Similar Triangles, Proportions, and Side Splitting Theorem quiz and the Similarity - proportions quiz, where you solve each proportion.
- Finish with right triangles.
Pythagoras and special triangles
The note Pythagoream Theorem and Special Right Triangles works through a hypotenuse example step by step. Then try the 30-60-90 & 45-45-90 Triangles quiz and the Pythagorean Theorem & Converse Practice quiz, which asks for missing sides rounded to the nearest tenth. The Triangle formulae flowchart helps you choose between Pythagoras, trigonometry and the cosine rule. One listed resource mentions the ACT, so some material suits that kind of preparation.
Using quizzes and maps together
Read a mind map first to see the structure, then take a quiz on the same idea. Note which questions slip, and return to the matching flashcard deck, such as Special Right Triangles or Side Splitter Theorem. Teachers can pick a quiz or deck as ready-made classroom material.
Where it fits
This unit sits in the Geometry, Measurement and Trigonometry strand of Mathematics. Choose one quiz today and see where you stand.
Frequently asked questions
Which resource should I open first?
Start with the Triangles Quiz. It begins with simple statements about polygons and angle totals, so it shows quickly what you remember. If that goes well, move on to the Similar Triangles, Proportions, and Side Splitting Theorem quiz or the Pythagorean Theorem & Converse Practice quiz.
What do the mind maps cover?
There are over 100 mind maps. Many are simply called Triangles, while others focus on classifying triangles, congruency theorems, right triangle congruence, the side splitter theorem, medians and the Pythagorean theorem. Similarity and Congruency lays out SSS, SAS, ASA and AA conditions.
Are the resources free to use?
Yes. Every resource on this page is free to open, study and take, with no account needed. They were made by GoConqr users, not by GoConqr itself, so styles and levels vary from one set to the next.
Which levels do these resources suit?
Most are secondary level, with a small share at primary level. One listed resource mentions the ACT. Teachers can use the quizzes and flashcard decks as ready-made practice, while students can use them to revise a single topic.
Is there anything on Pythagoras' theorem specifically?
Yes. Look at the Pythagorean Theorem flashcard deck, the Pre test on Pythagorean Theorem, the Pythagoras quiz and the Bonus questions on Pythagorean Theorem. The Triangle formulae flowchart also shows when to use a^2 + b^2 = c^2.
What if I cannot find what I need?
Make it yourself. A free account lets you save quiz scores and create your own quizzes, mind maps, flashcards and notes. You could build a deck on a theorem you find tricky, using the existing sets as a guide.