Question

task 1
two triangles
on the graph, two right triangles have the line as the hypotenuse. in this task, you will use these triangles to show that the slope between points e an
is the same as the slope between points a and c.
part a
which angles of the triangles measure 90°?

Explanation:

Step1: Identify right - angled triangles

Right - angled triangles have one angle equal to \(90^{\circ}\). In the graph, the two triangles are \(\triangle ABC\) and \(\triangle ADE\).

Step2: Locate the right angles

In \(\triangle ABC\), the sides \(AB\) and \(BC\) are perpendicular (since \(AB\) is vertical and \(BC\) is horizontal). So, \(\angle B = 90^{\circ}\). In \(\triangle ADE\), the sides \(AD\) and \(DE\) are perpendicular (since \(AD\) is horizontal and \(DE\) is vertical). So, \(\angle D=90^{\circ}\).

Answer:

\(\angle B\) and \(\angle D\)