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2018 December(B05) Math Question 2

2019 April(Z15) Math Question 3

2010 December(69A) Math Question 6

18. In isosceles triangle ABC, AB is congruent to BC and the measure of the vertex angle, B, is 75. What is the measure of A?

2014 December(72G) Math Question 18

2012 June(70C) Math Question 20

21. The perimeter of a certain scalene triangle is 100 inches. The side lengths of the triangle are represented by 5x, 3x + 30, and 2x + 10, respectively. What is the length, in inches, of the longest side of the triangle?

2018 June(A11) Math Question 21

28. Jamie claims, "If a triangle is in Set A, then it is not isosceles." Later, Jamie discovers that AMNP is a counterexample proving this claim false. Which of the following statements must be true about AMNP ?

2017 June(74C) Math Question 28

30. What is the perimeter, in inches, of the isosceles right triangle shown below, whose hypotenuse is 8√2 inches

2014 June(72C) Math Question 30

2019 June(72F) Math Question 30

32. In isosceles triangle PQR shown below, PQ = QR and the measure of P is 54°. If it can be determined, what is the measure of Q ?

2015 December(72E) Math Question 32

2009 December(68A) Math Question 36

38. Shown in the standard (x,y) coordinate plane below is equilateral triangle A0C with coordinates A(a,b), C(4c,0), and O(0,0). In terms of c, what is a ?

2015 April(73G) Math Question 38

40. Equilateral triangle △ABC is shown below with each side length given in meters. What is the value of k ?

2014 April(71H) Math Question 40

2018 December(B05) Math Question 40

2012 December(71A) Math Question 47

48. The side lengths of a certain triangle are 4, 5, and 7 centimeters. Which of the following descriptions best classifies this triangle?

2017 June(74C) Math Question 48

The 2 circles graphed in the standard (x,y) coordinate plane below are centered at the origin, O. In coordinate units, the radius of the smaller circle is 2, and the radius of the larger circle is 4. Points A(−4,0), B, and C(4,0) are on the larger circle. The measure of ∠BOC is 45°.

2021 June(D06) Math Question 48

52. Which of the following sets of 3 lengths, in decimeters, are the side lengths of an obtuse triangle? (Note: An obtuse triangle has 1 angle whose measure is greater than 90° and less than 180°.)

Triangle TypesSimilar Triangles & Types of TrianglesACT math questions

2018 December(B05) Math Question 2

2019 April(Z15) Math Question 3