Geometry Theorems and Triangle Measurements Quiz

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Which theorem will you use to find the diagonal of a 10 cm by 8 cm rectangle?

Triangle Angle Bisector Theorem

Triangle Proportionality Theorem

Pythagorean Theorem (correct)

Right Triangle Proportionality Theorem

If the hypotenuse of a 30°-60°-90° triangle measures 8 cm, what is the length of the longer leg?

8√3

4√3 (correct)

16

4

In a 30°-60°-90° triangle, if the longer leg measures 24 cm, what is the length of the shorter leg?

8√3

8

4√3 (correct)

16

What is the perimeter of a 30°-60°-90° triangle whose hypotenuse is 10 cm long?

15√3 cm Signup and view all the answers

In a 45°-45°-90° triangle, the hypotenuse is how many times as long as any of its legs?

√2 Signup and view all the answers

If the leg of a 45°-45°-90° triangle is 16 cm, what is the length of the hypotenuse?

16√2 Signup and view all the answers

How many right triangles are in the figure?

One Signup and view all the answers

Which is not an altitude?

CB Signup and view all the answers

What is the length of AD if BD=6 cm and CD=4 cm?

$2\sqrt{10}$ Signup and view all the answers

Find the measure of AC if BD=6 cm and CD=4 cm.

$2\sqrt{5}$ Signup and view all the answers

What is the length of BC if AD=12 and CD=4?

28 Signup and view all the answers

If k=4 and j=7, what is the length of m?

$\sqrt{33}$ Signup and view all the answers

Geometry Theorems and Triangle Measurements Quiz

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Questions and Answers

Which theorem will you use to find the diagonal of a 10 cm by 8 cm rectangle?

If the hypotenuse of a 30°-60°-90° triangle measures 8 cm, what is the length of the longer leg?

In a 30°-60°-90° triangle, if the longer leg measures 24 cm, what is the length of the shorter leg?

What is the perimeter of a 30°-60°-90° triangle whose hypotenuse is 10 cm long?

In a 45°-45°-90° triangle, the hypotenuse is how many times as long as any of its legs?

If the leg of a 45°-45°-90° triangle is 16 cm, what is the length of the hypotenuse?

How many right triangles are in the figure?

Which is not an altitude?

What is the length of AD if BD=6 cm and CD=4 cm?

Find the measure of AC if BD=6 cm and CD=4 cm.

What is the length of BC if AD=12 and CD=4?

If k=4 and j=7, what is the length of m?

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