Lesson Worksheet: Properties of Kites Mathematics

In this worksheet, we will practice using the properties of kites, the Pythagorean theorem, and the polygon interior angles sum theorem to find measures in kites.

Q1:

If π‘Šπ‘‹π‘Œπ‘ is a kite, find π‘π‘Œ.

  • A13√2
  • B22
  • C17
  • D√314
  • E√74

Q2:

Given that 𝐴𝐡𝐢𝐷 is a kite, π‘šβˆ π΄=127∘, and π‘šβˆ π·=86∘, find π‘šβˆ πΆ.

Q3:

A kite has vertices at the points (2,0), (3,2), (4,0), and (3,βˆ’3).

Work out the perimeter of the kite. Give your solution to one decimal place.

Work out the area of the kite.

Q4:

Given that 𝐹𝐺𝐻𝐽 is a kite, where π‘šβˆ πΉπΊπ»=108∘ and π‘šβˆ πΉπ½π»=64∘, find π‘šβˆ πΊπΉπ½.

Q5:

Chloe wants to design a kite with two diagonals of lengths 46 cm and 78.2 cm. If she wants to join the midpoints of the kite’s sides using a string, how long should the string be?

Q6:

Complete the following: If 𝐴𝐡𝐢𝐷 is a quadrilateral in which 𝐴𝐡=𝐴𝐷 and 𝐡𝐢=𝐷𝐢, then ⃖⃗𝐴𝐢 is 𝐡𝐷.

  • Aequal to
  • Bthe perpendicular bisector of
  • Cparallel to
  • Dcongruent to

Q7:

The following figure 𝐴𝐡𝐢𝐷 is a kite where 𝐴𝐢=11cm, 𝐡𝐷=8cm, and 𝐴𝑀=2cm. Find the perimeter of the kite to 2 decimal places.

Q8:

If the perimeter of kite 𝐴𝐡𝐢𝐷 is 4+2√10 cm, find the value of π‘₯.

This lesson includes 1 additional question and 54 additional question variations for subscribers.

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