Name: ________________________ Class: ___________________ Date: __________ ID: A Adv Honors Geometry Midterm Review Short Answer 1. Find the next item in the pattern 2, 3, 5, 7, 11, ... 2. Classify ∆DBC by its angle measures, given m∠DAB = 60°, m∠ABD = 75°, and m∠BDC = 25°. 3. For these triangles, select the triangle congruence statement and the postulate or theorem that supports it. 4. Given ∆ABC with AB = 3, BC = 5, and CA = 6, find the length of midsegment XY . 1 Name: ________________________ ID: A 5. ZO, YO, and XO are the perpendicular bisectors of ∆ABC . Find AO. 6. One of the acute angles in a right triangle has a measure of 63.2°. What is the measure of the other acute angle? 7. Given that ∆ABC ≅ ∆DEC and m∠E = 23°, find m∠ACB. 8. m∠IJK = 64° and m∠IJL = 20°. Find m∠LJK . 9. Find the value of x. 2 Name: ________________________ ID: A 10. What additional information do you need to prove ∆ABC ≅ ∆ADC by the SAS Postulate? 11. Find the values of x and y. Express your answers in simplest radical form. 12. C is between B and D. BD = 8x, BC = 6x + 13, and CD = 22. Find BD. 13. Find m∠ABC . 14. Use the Distance Formula to find the distance, to the nearest tenth, from T(7, –1) to W(1, 3). 15. Use slopes to determine whether the lines are parallel, perpendicular, or neither. ← → ← → AB and CD for A(3,5), B(−2,7), C(10,5), and D(6,15) 3 Name: ________________________ ID: A 16. Find the value of x. Express your answer in simplest radical form. 17. Write the equation of the line with slope 5 through the point (4, 6) in point-slope form. 18. Find the value of x. Express your answer in simplest radical form. 19. Find the circumference and area of the circle. Use 3.14 for π , and round your answer to the nearest tenth. 20. Find RS. 4 Name: ________________________ ID: A 21. Write the sides of ∆IJK in order from shortest to longest. 22. AO and DO are the angle bisectors of ∠DAB and ∠BDA, respectively. CD ≅ BD ≅ AB, and m∠C = 40°. Find m∠BAO. 23. ∆ABC is an isosceles triangle. AB is the longest side with length 8x + 3. BC = 3x + 6 and CA = 2x + 9. Find AB. 24. Find the perimeter and area of the figure. 25. Find the coordinates of the midpoint of AM with endpoints A(–4, –6) and M (2, 5). 5 Name: ________________________ ID: A 26. Find the measures BC and AC . 27. An angle measures 2 degrees more than 3 times its complement. Find the measure of its complement. 28. Find m∠DCB, given ∠A ≅ ∠F , ∠B ≅ ∠E, and m∠CDE = 32°. 29. Determine whether the lines −12x + 3y = 1 and y = −3x + 6 are parallel, intersect, or coincide. 30. Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints A(1,−1) and B(6,2). 31. Find m∠RST . 32. Find the measure of the complement of ∠M , where m∠M = 69.3° 33. Point O is the centroid of ∆ABC , BY = 3.3 and CO = 3. Find BO. 6 Name: ________________________ ID: A 34. Write the definition as a biconditional. An acute angle is an angle whose measure is less than 90°. 35. Find m∠Q. 7 ID: A Adv Honors Geometry Midterm Review Answer Section SHORT ANSWER 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 13 obtuse triangle ∆ABC ≅ ∆JKL, HL XY = 1.5 AO = 4.2 26.8° m∠ACB = 67° m∠LJK = 44° x=6 ∠ACB ≅ ∠ACD 11. 12. 13. 14. 15. x = 12, y = 12 3 BD = 140 m∠ABC = 35° 7.2 units neither 5 2 2 17. y − 6 = 5(x − 4) 16. x = 18. x = 3 5 19. C = 75.4 cm; A = 452.2 cm 2 20. RS = 18 21. 22. 23. 24. JK, IK, IJ m∠BAO = 10° AB = 27 perimeter = 7x + 18; area = 5x + 40 25. (−1, − 2 ) 1 26. 27. 28. 29. BC = 6.4, AC = 4.6 22° m∠DCB = 32° intersect 30. y − 0.5 = − 3 (x − 3.5) 5 31. 32. 33. 34. 35. m∠RST = 72° 20.7° BO = 2.2 An angle is acute if and only if its measure is less than 90°. m∠Q = 75 ° 1

© Copyright 2020