Declan draws triangle wxy. he then constructs a perpendicular bisector from vertex w that intersects side xy at point z. what can declan conclude, based on his drawing?

YZ = XZ

Step-by-step explanation:

Perpendicular Bisector:

A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.

Given:

1. A triangle WXY.

2. A perpendicular bisector from vertex W that intersects XY at point Z.

Conclusion based on the drawing:

a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.

b. Hence, XZ = YZ.

Option D.

Step-by-step explanation:

Given information: WXY is a triangle.

Steps of construction:

1. Draw a triangle WXY.

2. Constructs a perpendicular bisector from vertex W that intersects side XY at point Z.

If a line cuts a line segment exactly in half by a 90 degree angle, then it is called a perpendicular bisector.

WZ is a perpendicular bisector on XY. It means point Z divides the side XY in two equal parts.

Therefore, the correct option is D.

did you get the answer yet?

step-by-step explanation:

2 x 503

step-by-step explanation:

its 1006