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In this lesson, we will learn how to solve problems using properties of squares.

Q1:

What is the name for a rhombus in which one of the angles is a right angle?

Q2:

Given that π΄ π΅ πΆ π· is a square, find, in degrees, the values of π₯ and π¦ .

Q3:

Given that π΄ π΅ πΆ π· is a square and π β πΈ π· πΆ = 6 2 β , find π β π· πΈ π΄ .

Q4:

Given that π΄ π΅ πΆ π· is a square whose perimeter is 232 cm, find the lengths of π΄ π΅ and πΆ πΈ . Then find area of β³ πΈ π· π΅ .

Q5:

Are the two diagonals of a square perpendicular?

Q6:

Is the sum of two consecutive angles in squares and rhombuses equal to 1 8 0 β ?

Q7:

Which of the following statements must be true about a square?

Q8:

π΄ π΅ πΆ π· is a square. What is the ratio of the lengths πΆ π : π΅ π ?

Q9:

π΄ π΅ πΆ π· is a square. What is the ratio of the lengths π΄ π : π π΅ ?

Q10:

In the square of the figure, π΄ π΅ is 160 cm long, what is the length of π πΆ ?

Q11:

Find the perimeter of the square π΄ π΅ πΆ π· below, and determine π β πΈ πΆ π· if π β π΅ πΆ πΈ = 7 0 β .

Q12:

In the square π΄ π΅ πΆ π· the points π΅ , πΆ , π a n d are collinear. Given that π β π π΄ πΆ = 2 8 β , find π β π΄ π πΆ .

Q13:

Is the following statement true or false? In a square, all angles are right angles and all sides are equal in length.

Q14:

What is the measure of any angle in a square?

Q15:

In which of the following shapes are all the sides the same length?

Q16:

Does a square have right angles?

Q17:

π΄ π΅ πΆ π· is a square. What is the ratio of the lengths π· π : π π΅ ?

Q18:

Are the opposite sides of a square parallel?

Q19:

Are any of the angles in a square 4 5 β ?

Q20:

All squares .

Q21:

Are the sides of a square equal in length?

Q22:

What can you say about the diagonals of a square?

Q23:

π΄ π΅ πΆ π· is a square. What is the ratio of the lengths π· π : π πΆ ?

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