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Geometry

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Janelle Christiansen

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2y ago
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Cards in this guide (14)
The HA theorem is a special case of the postulate

AAS

Which of the following are statements that require proof in a logical system

Corollaries,Theorems
Corollaries, Theorems

True or False a right triangle cannot have three congruent sides

That's true.

In a right triangle, the square of one side must be the sum of the squares of the other two sides.
So it's impossible for all three sides to be equal.

True are false A triangle with sides lengths 40 75 and 84 are a right triangle

False.

The lengths of the legs of a right triangle are 15 centimeters and 20 centimeters What is the length of the hypotenuse

The lengths of the legs of a right triangle are 15 cm and 20 cm. What is the length of the hypotenuse?

What are facts about right triangles
  1. The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.
  2. The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.
  3. The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
Which side of a triangle is always opposite with the angle with the smallest angle

The shortest side

In isosceles triangle WXY the interior angle W measures 100 degree. What is the measure of all three interior angles of triangle WXY

100 degree, 40 degree and 40 degree.

What is the length of BC in this triangle angle BAC equals 40 degrees and angle ABC equals 50 degrees and angle BCA equals 90 degrees .

In order to find length BC the length of AC or length of the hypotenuse must be given

Is it true or false that the legs are the sides that form the right angle in a right triangle

It is true and the longest side of a right angle triangle is its hypotenuse.

What if the distance from point y to line wx in the figure below

10

What is the distance from point N to LM in the figure below

6.8

If JKL is similar to RST the angles of JKL must be congruent to the corresponding angles of RST.

Yes that is correct and the sides will be in proportion by ratio to each triangle.

What is the length of in the right triangle below with legs of 18 and 80

Using Pythagoras' theorem for a right angle triangle its hypotenuse is 82 units in length

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