Student resources icon

Estimating and comparing angles

Question 4

\(\triangle ABC\) is similar to \(\triangle EDF\) (RHS).

Two right-angled triangles.
Detailed description

a The value of \(x\) is?
check answer for question a.

Question 5

a Triangle ABE with segment drawn from point C on BE to point D on EA parallel to AB.
Detailed description
\(\triangle AEB\) is similar to \(\triangle DEC\). The reason is:
check answer for question 5a.
b Two triangles AFB and CED side by side.
Detailed description
  \(\triangle AFB\) is similar to \(\triangle CED\). The reason is:
check answer for question 5b.
c Segments CD and AB drawn parallel and labeled with arrows to show this.
Detailed description
  \(\triangle CED\) is similar to \(\triangle BEA\). The reason is:
check answer for question 5c.
d Triangle ABC drawn right-angled at angle C.
Detailed description
  \(\triangle ABC\) is similar to \(\triangle CBD\). The reason is:
check answer for question 5d.
e Segment AC drawn perpendicular to BD, intersecting at E.
Detailed description
  \(\triangle ABE\) is similar to \(\triangle CDE\). The reason is:
check answer for question 5e.
f Triangles ABC and ABD drawn with common side AB.
Detailed description
  \(\triangle ABC\) is similar to \(\triangle DBA\). The reason is:
check answer for question f.