Congruency And Similarity

Question 0

Two triangular pyramids are in the ratio 40/60.

Find the ratio of their volume.

Answer 0

403/603

Question 1

Two morning papers are similar in shape and there widths are in the ratio 3:5.
Find the area of the larger paper if the smaller one has an area of 1080cm*2.

Answer 1

Area of abcd/ area of efgh = 5/3

Abcd/ 1080 = 25/9

Abcd = 25/9 x 1080

Abcd = 3000*2

Question 2

What are the 4 tests for similar triangles

Answer 2

SSS, SAS, RHS, AA

Question 3

Two triangles are similar if (SSS):

Answer 3

All three sides are in proportion

Question 4

Two triangles are similar if (AA):

Answer 4

Equiangular

Question 5

Two triangles are similar if (SAS):

Answer 5

Two corresponding sides are in proportion and included angle equal

Question 6

Two triangles are similar if (RHS):

Answer 6

Both triangles are right angled and the hypotenuse and one other side are in proportion

Question 7

What are the four tests for congruency?

Answer 7

SSS SAS AAS RHS