M.GHS.17
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
Example Problems
A square tile measures 15 centimeters on each side.
What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
Aria runs 5 miles east and then a certain number of miles north.
She ends 13 miles away from her starting position.
How many miles north did Aria run?
She ends 13 miles away from her starting position.
How many miles north did Aria run?
Miranda bikes 6 miles west and then a certain number of miles south.
She ends 10 miles away from her starting position.
How many miles south did Miranda bike?
She ends 10 miles away from her starting position.
How many miles south did Miranda bike?
Khan Academy ResourcesTriangle congruence reviewProve theorems using similarityJustify triangle congruencePythagorean theorem proof using similarityIntro to angle bisector theoremProving the SAS triangle congruence criterion using transformationsProof: Parallel lines divide triangle sides proportionallyProving the SSS triangle congruence criterion using transformationsProving the ASA and AAS triangle congruence criteria using transformations
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