Podcast
Questions and Answers
Which two cities in Australia are farthest apart?
Which two cities in Australia are farthest apart?
In triangle ABC, if m ∠ C < m ∠ B < m ∠ A, then AB < AC < BC is true.
In triangle ABC, if m ∠ C < m ∠ B < m ∠ A, then AB < AC < BC is true.
True
If Kyle has an angle of 45° and Jake has an angle of 65°, what is the measure of the third angle?
If Kyle has an angle of 45° and Jake has an angle of 65°, what is the measure of the third angle?
70°
In triangle dimensions, a set of lengths that can form a triangle must satisfy the ________.
In triangle dimensions, a set of lengths that can form a triangle must satisfy the ________.
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What could NOT be the dimensions of a triangular tile?
What could NOT be the dimensions of a triangular tile?
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What is the range of possible lengths for the third side of a triangle if the other two sides are 10 and 18?
What is the range of possible lengths for the third side of a triangle if the other two sides are 10 and 18?
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Which inequality represents the possible lengths for x in the figure with a side ̅̅̅̅ AB?
Which inequality represents the possible lengths for x in the figure with a side ̅̅̅̅ AB?
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Match the triangle properties with their definitions:
Match the triangle properties with their definitions:
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What is the range of lengths for the third side (s) of a triangle with sides measuring 4 inches and 7 inches?
What is the range of lengths for the third side (s) of a triangle with sides measuring 4 inches and 7 inches?
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Which pair of measures could represent the lengths of the other two sides of a triangle if the longest side is 10 feet?
Which pair of measures could represent the lengths of the other two sides of a triangle if the longest side is 10 feet?
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In triangle ABC, if side AB is the longest side, then m∠C could be greater than m∠A.
In triangle ABC, if side AB is the longest side, then m∠C could be greater than m∠A.
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List the sides in order from greatest to least for triangle with sides measuring 7m, 10m, and 12m.
List the sides in order from greatest to least for triangle with sides measuring 7m, 10m, and 12m.
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Which relationship correctly describes the angles of triangle ABC with sides 5 feet, 6 feet, and 7 feet?
Which relationship correctly describes the angles of triangle ABC with sides 5 feet, 6 feet, and 7 feet?
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A side length of 23 could be combined with two other sides to form a triangle. The two other sides must be less than ______.
A side length of 23 could be combined with two other sides to form a triangle. The two other sides must be less than ______.
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In triangle DEF, which angle represents the widest corner for placing the goat’s water?
In triangle DEF, which angle represents the widest corner for placing the goat’s water?
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What is the minimum length the third piece of spaghetti must be to form a triangle with lengths 5.2 cm and 2.4 cm?
What is the minimum length the third piece of spaghetti must be to form a triangle with lengths 5.2 cm and 2.4 cm?
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Given ∆APM, where AP = 37 and PM = 19, what are the possible lengths for AM?
Given ∆APM, where AP = 37 and PM = 19, what are the possible lengths for AM?
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Which of the following is the measure of angle D in triangle DEG?
Which of the following is the measure of angle D in triangle DEG?
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Which statement about triangle ABC is true given sides 7m, 10m, and 12m?
Which statement about triangle ABC is true given sides 7m, 10m, and 12m?
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Match the following sides with their order in triangle ABC where sides are 7m, 10m, and 12m:
Match the following sides with their order in triangle ABC where sides are 7m, 10m, and 12m:
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In triangle ABC, if m ∠BAD = 130°, it is true that m ∠B < m ∠C.
In triangle ABC, if m ∠BAD = 130°, it is true that m ∠B < m ∠C.
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If m ∠BAD = 130°, which option correctly describes relationship between angles C, B, and CAB?
If m ∠BAD = 130°, which option correctly describes relationship between angles C, B, and CAB?
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In triangle RST, if ∠R = 75°, then the sum of angles S and T must equal ________.
In triangle RST, if ∠R = 75°, then the sum of angles S and T must equal ________.
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Match the following lengths of spaghetti with their possibility of being the third side in a triangle with sides 5.2 cm and 2.4 cm:
Match the following lengths of spaghetti with their possibility of being the third side in a triangle with sides 5.2 cm and 2.4 cm:
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Study Notes
Geometry Post-Assessment Study Notes
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Problem 1: The question asks which two cities in Australia (Perth, Sydney, and Darwin) are furthest apart. The map depicts Darwin and Perth as the furthest apart.
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Problem 2: Three boys (Kyle, Jake and another) are flying kites. The angles at Kyle and Jake are 45° and 65° respectively. The question asks for the distances between the boys in ascending order. KL, JK and LJ, in that order, are the correct answer. This is based on the provided angles and a triangle rule for relationships between sides and angles.
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Problem 3: The provided information (In ∆ABC, if m∠C < m∠B < m∠A, then...) leads to the conclusion that the ordering of sides is BC < AB < CA.
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Problem 4: Two triangles share a side. The question asks for the possible values of the shared side 'x'. The possible values for x are between 3 and 14.
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Problem 5: A contractor is making new triangular-shaped tiles. The question is, which of the possible combinations/dimensions of triangle sides are invalid. Three mm, 9 mm, 14 mm are invalid.
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Problem 6: Two sides of a triangle have lengths of 10 and 18. The question asks for the inequality that describes the possible lengths of the third side. That inequality is 8 < x < 28
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Problem 7: The lengths of the sides of a triangle are given (AB = 5 feet, AC = 6 feet, and BC = 7 feet). The question asks for the relationship between the angles of the triangle. ∠A > ∠C > ∠B.
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Problem 8: A farmer has three sections of fence to enclose a goat. The question asks which angle represents the widest corner. Answer: Angle D
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Problem 9: Mrs. Lyons builds a triangle with spaghetti. The lengths of two pieces of spaghetti are given (5.2 cm and 2.4 cm). The question asks which of the provided lengths can be the third side of the triangle. Answer: 7.7 inches.
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Problem 10: In triangle DEG, the question asks for the measure of angle D. The answer is 79°.
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Problem 11: In ∆ABC (with point D), if ∠BAD is equal to 130°... The question asks for a true statement on the relative sizes of angles in the triangle. m∠C = m∠B, and m∠B < m∠CAB is TRUE.
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Problem 12: In triangle RST, two angles are given. The question asks for the measures of the other two angles. ∠S = 55°, ∠T = 80°.
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Problem 13: The question asks for the range of lengths of the third side of a triangle where the other two sides are 4 inches and 7 inches long. 3 < s < 11
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Problem 14: A triangular garden has a longest side of 10 feet. The question asks for a pair of measures for the other two sides. The correct answer is 4 feet, 7 feet.
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Problem 15: In a triangle (∆ABC), the question asks which statement about the angles is true. m∠B > m∠C is the answer.
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Problem 16: Given the diagram of a triangle, the question asks to list the sides in order from greatest to least.
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Problem 17: A side length of 23 is given. The question asks for two other sides, that when combined with 23, will form a triangle. The solution is 23 and 40
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Problem 18: In triangle APM, where AP = 37, and PM=19. The question asks for possible lengths of AM. The list of possible lengths are: 36, 48, 56, 64.
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Problem 19: In triangle CRM (where CR= 21cm, RM = 17cm, CM = 23cm), the question is listing in order the angles from least to greatest. ∠C, ∠R, ∠M is the correct order.
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Problem 20: In triangle ABC, where angle A = 45° and angle C=110°. The question asks for the measure of angle B. The answer is 25°
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Description
Test your understanding of key geometry concepts with this post-assessment quiz. Covering topics such as distance between points, angles in triangles, and relationships between sides, this quiz will help reinforce your geometric knowledge. Perfect for reviewing before exams!
