Geometry Unit 4 Post Assessment PDF

Geometry Unit 4 Post-Assessment Name_________________________________ 1. Given the map below, Perth, Sydney, and Darwin are three cities in...

Geometry Unit 4 Post-Assessment Name_________________________________ 1. Given the map below, Perth, Sydney, and Darwin are three cities in SOL G.TR.1.c Australia. Which two cities are farthest apart? A. Darwin and Perth B. Sydney and Darwin C. Perth and Sydney D. Darwin and Sydney 2. Three boys are in a field flying kites. Viewed from above, the angle at Kyle, SOL G.TR.1.c ∠𝐾 = 45°, and the angle at Jake, ∠𝐽 = 65°. Which shows the distances between the boys from least to greatest? A. 𝐿𝐽, 𝐽𝐾, 𝐾𝐿 B. 𝐾𝐿, 𝐾𝐽, 𝐿𝐽 C. 𝐾𝐽, 𝐿𝐾, 𝐽𝐿 D. 𝐿𝐽, 𝐿𝐾, 𝐽𝐾 3. In 𝝙 ABC, if m ∠ 𝐶 < m ∠ 𝐵 < m ∠ 𝐴, then- SOL G.TR.1c A. AB < AC < BC B. AC < AB < BC C. AB < BC < CA D. BC < AB < CA Office of Curriculum & Instruction WJCC Revision Year: 2023 Page 1 Geometry Unit 4 Post-Assessment 4. The figure shows two triangles, where 𝑥 represents the length of the common SOL G.TR.1.b side ̅̅̅̅ 𝐴𝐵. (Figure is not drawn to scale.) Which inequality shows all the possible values for 𝑥? A. 3 < 𝑥 < 45 B. 3 < 𝑥 < 14 C. 2 < 𝑥 < 45 D. 2 < 𝑥 < 14 5. A contractor is making a new size of triangular shaped tiles. What could NOT SOL G.TR.1.a be the dimensions of this new size? A. 3 𝑚𝑚, 9 𝑚𝑚, 14 𝑚𝑚 B. 6 𝑚𝑚, 8 𝑚𝑚, 12 𝑚𝑚 C. 20 𝑚𝑚, 30 𝑚𝑚, 15 𝑚𝑚 D. 19 𝑚𝑚, 11 𝑚𝑚, 11 𝑚𝑚 6. Two sides of a triangle have lengths of 10 and 18. Which inequality SOL G.TR.1.b describes the possible lengths of the third side? A. 8 ≤ 𝑥 ≤ 28 B. 8 < 𝑥 < 28 C. 10 < 𝑥 < 18 D. 10 ≤ 𝑥 ≤ 18 7. The Jackson’s are building a deck in the shape of a triangle ABC. The SOL G.TR.1.c measures of AB = 5 feet, AC = 6 feet, and BC = 7 feet. Which of the following correctly shows how the angle measures are related? A. ∠A < ∠𝐵 < ∠𝐶 B. ∠𝐴 > ∠𝐶 > ∠𝐵 C. ∠𝐶 > ∠B > ∠𝐴 D. ∠𝐵 > ∠𝐶 > ∠A Office of Curriculum & Instruction WJCC Revision Year: 2023 Page 2 Geometry Unit 4 Post-Assessment 8. A farmer has three sections of fence that he is using to make an enclosure for a goat. Triangle 𝐷𝐸𝐹 represents the enclosure. The farmer wants to put the SOL G.TR.1.d goat’s water in the widest corner of the enclosure. Which angle represents this corner? A. ∠𝐷 B. ∠𝐸 C. ∠𝐹 D. Cannot be determined. 9. Mrs. Lyons is building a triangle out of spaghetti. One piece of spaghetti is SOL G.TR.1.a 5.2 cm long and another is 2.4 cm long. Which of the four pieces of spaghetti listed below could be used for the third side of the triangle? A. the one 2.4 inches long B. the one 2.8 inches long C. the one 3.8 inches long D. the one 7.7 inches long 10. Examine ∆𝐷𝐸𝐺 below. What is the measure of angle D? SOL G.TR.1.e A. 32° B. 111° C. 42° D. 79° Office of Curriculum & Instruction WJCC Revision Year: 2023 Page 3 Geometry Unit 4 Post-Assessment 11. In 𝛥𝐴𝐵𝐶 below, if m ∠𝐵𝐴𝐷 = 130  , which of the following is true? SOL G.TR.1.e B 5 5 D A C A. m ∠𝐶 = m ∠𝐵 and m ∠𝐵 < m ∠𝐶𝐴𝐵 B. m ∠𝐶 = m ∠𝐵 = m ∠𝐶𝐴𝐵 C. m ∠𝐶 = m ∠𝐵 and m ∠𝐶 < m ∠𝐶𝐴𝐵 D. m ∠𝐵 > m∠𝐶 = m ∠𝐶𝐴𝐵 12. In Δ RST, ∠𝑅 = 75°, ∠𝑆 = (𝑥 + 20)°, and ∠𝑇 = (2𝑥 + 10)°. What are the SOL G.TR.1.e measures of angle S and angle T? A. ∠𝑆 = 55°, ∠𝑇 = 80° B. ∠𝑆 = 50°, ∠𝑇 = 70° C. ∠𝑆 = 48°, ∠𝑇 = 66° D. ∠𝑆 = 45°, ∠𝑇 = 60° 13. What is the range of lengths for the third side (s) of a triangle where the SOL G.TR.1.b other two sides are 4 inches and 7 inches long? A. 3 < s < 7 B. 3 < s < 11 D. 4 < s < 11 C. 4 < s < 7 14. Tony is constructing a triangular garden. The longest side is 10 feet. Which SOL G.TR.1.a of the following pair of measures could be the lengths of the other two sides? A. 3 ft., 6 ft. B. 4 ft., 7 ft. C. 11 ft., 21 ft. D. 2 ft., 8 ft. Office of Curriculum & Instruction WJCC Revision Year: 2023 Page 4 Geometry Unit 4 Post-Assessment 15. For 𝛥𝐴𝐵𝐶, which statement is true? SOL G.TR.1.d C 7m 10 m A B 12 m A. m∠𝐴 > m∠𝐶 B. m∠𝐵 > m∠𝐶 C. m∠𝐶 < m∠𝐴 D. m ∠𝐶 > m∠𝐴 16. List the sides in order from greatest to least. SOL G.TR.1.c ̅̅̅̅ 𝑺𝑼 ̅̅̅̅ 𝑻𝑺 ̅̅̅̅ 𝑻𝑼 17. A side length of 23 could be combined with what two other sides to form a SOL G.TR.1.a triangle. Two other sides___________________________________________________________________________ Office of Curriculum & Instruction WJCC Revision Year: 2023 Page 5 Geometry Unit 4 Post-Assessment 18. Given: ∆𝐴𝑃𝑀, 𝑤ℎ𝑒𝑟𝑒 𝐴𝑃 = 37 𝑎𝑛𝑑 𝑃𝑀 = 19. Which of the following are SOL G.TR.1.b possible lengths for 𝐴𝑀? Possible lengths________________________________________________________________________________ 19. Given: ∆𝐶𝑅𝑀 SOL G.TR.1.d CR = 21 cm RM = 17 cm CM = 23 cm List the interior angles of ∆𝐶𝑅𝑀 in order from least to greatest. 20. What is the measure of angle B? SOL G.TR.1.e Angle B = degrees Office of Curriculum & Instruction WJCC Revision Year: 2023 Page 6