9. In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP BQ
(see Fig. 8.20). Show that:
(i) ΔΑPD: ΔCOB
(ii) AP=CQ
(iii) A AQB=A CPD

(iv) AQ=CP
(v) APCQ is a parallelogram

Peter measures the angles in a triangle. he finds that the angles are 95, 10 and 75. is he correct? explain your answer

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.

If it 8 inch candle burns at 7/10 inch per hour and a 6 inch candle burns at 1/5 inch per hour after how many hours would both candles be the same height