9.08 Further triangle proofs
Consider the diagram.
How do we know BE is parallel to CD?
Which angle is equal to \angle BEA?
How do we know \triangle ABE \sim \triangle ACD?
State the enlargement factor going from the smaller triangle to the larger triangle.
Find the value of the pronumeral.
Consider \triangle ABC and \triangle PQR:
Prove that \triangle ABC is similar to \triangle PQR.
Find the value of x.
Find the value of y.
Consider the following diagram:
Prove that\triangle AOB and \triangle DOC are similar.
Hence, show that AB \parallel CD.
In the diagram, QR \parallel ST.
Show that \triangle PQR is similar to \triangle PST.
Find the scale factor of enlargement.
Find the value of f.
Consider the diagram below.
Prove that the \triangle ABE and \triangle ACD are similar.
Find the value of f.
Consider the following diagram:
Prove that \triangle ABC and \triangle ADB are similar.
Find the length x.
Consider the diagram below:
Prove that \triangle ABE is similar to \triangle BCD.
Prove that \triangle EDB is similar to \triangle BCD.
Can we conclude that \triangle ABE is similar to \triangle EDB?
In the diagram, \triangle ABC is a right-angled triangle with the right angle at C. The midpoint of AB is M and MP is perpendicular to AC.
Prove that \triangle AMP is similar to \triangle ABC.
Find the ratio of AP to AC.
Prove that AB is parallel to CD for the following diagram:
Prove that CE = EB for the following diagram:
Prove that BD^{2} = AD \times DC for the following diagram:
