Square Diagonal Problem: Comparing BD and AC Distances in a 4 cm Square

A square has side lengths

equal to 4 cm.

Is the distance between BD and AC equal to the length of BD?

444AAABBBDDDCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is CD equal to BD?
00:03 In a square all angles are right angles
00:14 The distance between AC and BD is side CD
00:19 In a square all sides are equal
00:28 Let's substitute the side length according to the given data
00:35 Since all sides are equal, CD equals BD
00:44 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

A square has side lengths

equal to 4 cm.

Is the distance between BD and AC equal to the length of BD?

444AAABBBDDDCCC

2

Step-by-step solution

Firstly, let's think about the properties of a square—remembering that all sides are equal to each other.

In other words, all sides in the square are equal to 4 cm. As a result, we can determine that the distance between BD and AC is indeed equal to 4 since CD is also equal to 4.

3

Final Answer

Yes

Practice Quiz

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Look at the square below:

Is a parallelogram a square?

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