Answers please
Which of the following pairs of triangles are definitely similar to each other?
Any two equilateral triangles (b)
Any two squares (a)
Any two isosceles trapezoids (c)
Any two rectangles (d)
Knowledge
Easy
Triangle ABC is similar to triangle XYZ. If the ratio of the lengths of corresponding sides is 3:4, what is the ratio of their areas?
9:16 (d)
Comprehension
Medium
In a right-angled triangle, the length of one leg is 8 units and the length of the other leg is 10 units. What is the length of the hypotenuse?
12 units (b)
Application
Medium
In Triangle PQR, if the length of side PR is 15 cm and the length of side QR is 10 cm, what is the length of side PQ?
12 cm (b)
Application
Medium
In a triangle with sides of length 7 cm, 8 cm, and 9 cm, what is the length of the longest altitude?
5 cm (b)
Analysis
Medium
Triangle DEF is similar to triangle GHI. If the length of side GH is 12 units and the length of side HI is 9 units, what is the length of side DE?
8 units (c)
Application
Medium
In a triangle, if two angles are 35 degrees and 55 degrees, what is the measure of the third angle?
80 degrees (b)
Comprehension
Easy
Triangle ABC and Triangle PQR are similar. If the length of side AB is 6 cm and the length of side QR is 10 cm, what is the length of side BC?
15 cm (c)
Application
Medium
In a triangle, if one angle measures 40 degrees and the other two angles are equal, what is the measure of each of the other two angles?
60 degrees (b)
Comprehension
Easy
Triangle XYZ is similar to Triangle PQR. If the length of side XY is 5 cm and the length of side PQ is 10 cm, what is the length of side YZ?
7.5 cm (c)
Application
Medium