Similar Triangles & Types of Triangles

Similar Triangles

8. In the figure shown below, AC II DE; BD = AD; D and E are on AB and BC, respectively; AC = 8 feet; and the height of AABC is 10 feet. What is DE, in feet?

2018 June(A11) Math Question 8

2011 June(69F) Math Question 8

9. In the figure shown below, E and G lie on AC, D and F lie on AB, DE and FG are parallel to BC, and the given lengths are in feet. What is the length of AC, in feet?

2021 April(Z04) Math Question 9

9. In ABC below, D is on AB, E is on AC, and ED || CB. If it can be determined, what is the ratio of the area of ABC to the area of ADE ?

2015 April(73G) Math Question 9

11. The lengths of corresponding sides of 2  similar right triangles are in the ratio 4:5. The hypotenuse of the smaller triangle is 24 inches long. How many inches long is the hypotenuse of the larger triangle?

2021 December(E23) Math Question 11

13. In the figure shown below, E and G lie on AC, D and F lie on AB, DE and FG are parallel to BC, and the given lengths are in feet. What is the length of AC, in feet?

2017 June(74C) Math Question 13

2018 December(B05) Math Question 16

22. In the figure shown below, AE || DC, AC and DE intersect at B, and the given lengths are in feet. What is the length, in feet, of BC ?

2015 June(73C) Math Question 22

24. In ABC below, D is the midpoint of CB, ZABC is a right angle, AB = 8 m, and AC = 10 m. What is AD, in meters?

2018 April(A09) Math Question 24

2019 April(Z15) Math Question 24

2019 April(Z15) Math Question 26

27. All of the following statements concern triangles that are similar, congruent, or both. Which statement is FALSE ?

2014 April(71H) Math Question 27

2010 December(69A) Math Question 28

2010 April(68G) Math Question 28

2009 April(66F) Math Question 28

2009 December(68A) Math Question 31

35. Shown below are right triangles ACD and ABE with lengths given in inches. What is the length, in inches, of AB ?

2014 December(72G) Math Question 35

2012 April(70G) Math Question 35

37. In the figure shown below, LABC ADEF, sides AB and BC are each 7.2 cm long, side DE is 10.8 cm long, and the measure of LE is 42°. What is the measure of C?

2016 April(73E) Math Question 37

2013 December(71E) Math Question 40

2010 June(68C) Math Question 40

2013 December(71E) Math Question 41

2013 April(71G) Math Question 43

44. The points E(6,4) and F(14,12) lie in the standard (x,y) coordinate plane shown below. Point D lies on EF between E and F such that the length of EF is 4 times the length of DE. What are the coordinates of D ?

2014 June(72C) Math Question 44

2009 April(66F) Math Question 44

48. In AACD shown below, BE is parallel to CD; and the given lengths are in feet. Given that CD denotes the length, in feet, of CD, which of the following proportions involving CD must be true?

2013 June(71C) Math Question 48

51. In the standard (x,y) coordinate plane below, point A has coordinates (2,−4), and point B(8,−1) divides AC ___ so that the ratio AB:BC is 1:3. What are the coordinates of point C ?

Similar TrianglesSimilar Triangles & Types of TrianglesACT math questions

2018 June(A11) Math Question 8

2011 June(69F) Math Question 8