Answers FL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Constructing Triangles

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What is the measure of SRT?

69 degrees

79 degrees

99 degrees

101 degrees

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What is the value of x in triangle PQR below?

86 degrees

94 degrees

132 degrees

142 degrees

Two angles in a triangle measure and . What is the measure of the third angle?

35 degrees

55 degrees

145 degrees

215 degrees

What is the measure of ?

50 degrees

80 degrees

100 degrees

130 degrees

Which set of three angles could represent the interior angles of a triangle?

49 degrees, 59 degrees, 72 degrees

34 degrees, 45 degrees, 11 degrees

24 degrees, 51 degrees, 15 degrees

45 degrees, 70 degrees, 85 degrees

Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction?

Tinh’s reduction is incorrect; he should have only divided the side lengths by 3.

Tinh’s reduction is incorrect; he should have only divided the angle measures by 3.

Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead.

Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.

Two lengths of a triangle are shown. Which could be the length of ?

11 ft

13 ft

15 ft

18 ft

Which set of three angles could represent the interior angles of a triangle?

19 degrees, 70 degrees, 91 degrees

47 degrees, 12 degrees, 31 degrees

50 degrees, 20 degrees, 20 degrees

25 degrees, 25 degrees, 100 degrees

Kellianne lined up the interior angles of the triangle along line p below. Which statements are true for line p? Check all that apply.

It is a straight line with a measure of 360°.

It stays the same even if the angles in the triangle change.

The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.

The line is only straight when one of the angles is a right angle.

It represents the sum of the measures of the interior angles of the triangle.

The line will not be straight if all the angles in the triangle are acute.

It combines the three interior angles of the triangle to form a straight line.

It is a straight line with a measure of 180°.

In isosceles triangle GHK below, what is the value of m?

27 degrees

54 degrees

63 degrees

126 degrees

The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL?

Which dimensions cannot create a triangle?

three angles measuring , , and

three sides measuring 9 m, 15 m, and 9 m

three angles measuring , , and

three sides measuring 6 cm, 8 cm, and 10 cm

Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x?

One-half

What is ?

180°

270°

300°

360°

If the measure of angle 2 is and angle 3 is , what is the measure of angle 1 in degrees?

88 degrees

89 degrees

90 degrees

91 degrees

If the measure of angle 2 is and the measure of angle 4 is , what is the value of x?

184

The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.

Both angles are acute.

The sum of the measures of the two angles is 75°.

The sum of the measures of the two angles is 155°.

One of the angles is a right angle.

The measure of neither angle is more than 75°.

The measures of the other angles must be 105° too.

The measure of one of the other angles equals 75°.

The measure of one of the other angles must be 45°.

Which angle is an exterior angle of the triangle?

What is the measure of ?

45 degrees

73 degrees

107 degrees

117 degrees

Lines p and q are parallel. What is the measure of angle 2 in degrees?

27°

33°

60°

93°

Which dimensions can create only one unique triangle?

three angles measuring , , and

three sides measuring 5 in., 12 in., and 14 in.

three sides measuring 4 ft, 8 ft, and 14 ft

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.

15 cm

24 cm

38 cm

41 cm

53 cm

Which set of three angles could represent the interior angles of a triangle?

26 degrees, 51 degrees, 103 degrees

29 degrees, 54 degrees, 107 degrees

35 degrees, 35 degrees, 20 degrees

10 degrees, 90 degrees, 90 degrees

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that apply.

Triangle P R S is similar to triangle X Y Z

Triangle R S P is similar to triangle Z X Y

Triangle S R P is similar to triangle X Z Y

Triangle P S R is similar to Triangle Z Y X

Triangle R P S is similar to triangle Z Y X

Triangle S P R is similar to triangle X Z Y

What is the sum of the measures of the exterior angles of this triangle?

Answer not available

Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed.What is ?

35 degrees

40 degrees

55 degrees

70 degrees

Line p is parallel to side BC.What is the measure of angle 1 in degrees?

Answer not available

Which set of angle measures could be the measures of the interior angles of a triangle?

60°, 45°, and 70°

30°, 85°, and 25°

55°, 90°, and 35°

110°, 15°, and 45°

Which statement is true about angles 1 and 2?

They are adjacent angles.

They are complementary angles.

They are supplementary angles.

They are vertical angles.

Which is enough information to prove that ?

Angle 1 is congruent to angle 3

Angle 2 is congruent to angle 8

Angle 5 + angle 6 = 180 degrees

Angle 1 + angle 4 = 180 degrees

What is the measure of ?

28 degrees

62 degrees

118 degrees

152 degrees

The measure of angle 4 is 120°, and the measure of angle 2 is 35°. What is the measure of angle 5?

95°

105°

130°

155°

What is the measure of ?

16 degrees

19 degrees

71 degrees

87 degrees

The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?

Triangle F G H is similar to Triangle K L J

Triangle F G H is congruent to Triangle K L J

Triangle F G H is similar to triangle J K L

Lines y and z are parallel.What is the measure of angle 2?

6 degrees

11 degrees

28 degrees

37 degrees

If the measure of angle 5 is and x = 6, which expression could represent the measure of angle 2?

(8 x + 4) degrees

(9 x + 2) degrees

(20 x + 8) degrees

(18 x + 20) degrees

Lines p and q are parallel. What is the measure of angle 3 in degrees?

27°

33°

60°

153°

Triangle JKL is equilateral. All three interior angles have equal measures.What is the measure of exterior angle 1?

30 degrees

60 degrees

120 degrees

130 degrees

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

Sarkis cannot draw a triangle with these side lengths.

Sarkis can only draw one unique triangle with these side lengths.

Sarkis can draw exactly two triangles with these side lengths.

Sarkis can draw more than one triangle with these side lengths.

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