SSAT Upper Level Math : How to find if right triangles are similar
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Example Questions
Example Question #1 : Right Triangles
If a right triangle is similar to a right triangle, which of the other triangles must also be a similar triangle?
For the triangles to be similar, the dimensions of all sides must have the same ratio by dividing the 3-4-5 triangle.
The 6-8-10 triangle will have a scale factor of 2 since all dimensions are doubled the original 3-4-5 triangle.
The only correct answer that will yield similar ratios is the triangle with a scale factor of 4 from the 3-4-5 triangle.
The other answers will yield different ratios.
Example Question #5 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What is the main difference between a right triangle and an isosceles triangle?
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
An isosceles triangle has to have a angle and a right triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
By definition, a right triangle has to have one right angle, or a angle, and an isosceles triangle has equal base angles and two equal side lengths.
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