A kite WXYZ has diagonals WY and XZ that intersect at point P. If the length of WP is 4 ce… — ACT

A kite $WXYZ$ has diagonals $WY$ and $XZ$ that intersect at point $P$ . If the length of $WP$ is $4$ centimeters, the length of $PY$ is $9$ centimeters, and the length of $XP$ is $3$ centimeters, what is the measure, in degrees, of angle $WPX$ ?

A
30
B
45
C
60
90Cevap
E
180

Cevap

90 degrees

The diagonals of a kite are always perpendicular to each other. Therefore, the angle formed at their intersection, angle

WPX

, is a right angle, which measures exactly

90

degrees. The given segment lengths are extra information.

Adım Adım Çözüm

Identify the fundamental property of the diagonals of a kite.

The diagonals of any kite are perpendicular to each other.

By geometric definition, the diagonals of a kite intersect at a right angle.

Determine the measure of the angle formed by the intersection of the diagonals.

Angle

WPX

is a right angle, which measures exactly

90

degrees.

Since the diagonals are perpendicular, their intersection forms four

90

-degree angles regardless of the lengths of the individual diagonal segments.

Anahtar Kavram

The diagonals of a kite are perpendicular (

90^\circ

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru