MATH 2 EXAM REVIEW 3
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1 MATH 2 EXAM REVIEW 3 Name: Date: 1. Triangle PQR is similar to triangle VWX. 3. In the figure below, E is the midpoint of D. What is the length of PR? A. 7.5 in in in. D in. What is the length of E? A. 5.7 cm. 8 cm. 15 cm D cm 2. In the diagram below DH. 4. In A, X is the midpoint of A and Y is the midpoint of. What is the value of y? A D. 30 If m = 67 and m A = 72, what is m YX? A D. 72 page 1
2 5. At 4:00 pm on a sunny day, a stick 2 feet tall casts a shadow 5 feet long. At the same time, a tree nearby casts a shadow 55 feet long. 7. Given: AD E, AD = E Prove: A = Shown below are the statements and reasons for the proof. They are not in the correct order. What is the height, in feet, of the tree? A feet feet. 22 feet D. 10 feet 6. Marissa s shadow is 8 feet long, and she is 5.5 feet tall. At the same time of day, a building casts a 20-foot shadow. Which proportion can be used to find the height,, of the building? Statement I. AD = E I. AAS II. AD = E III. AD E, AD = E IV. A = Reason II. Vertical angles are III. Given IV. orresponding parts of congruent triangles are V. DA = E V. If two parallel lines are cut by a transversal, the alternate interior angles are Which of these is the most logical order for the statements and reasons? A.. 8 = = D. 20 = = 12 8 A. I, II, III, IV, V. III, II, V, I, IV. III, II, V, IV, I D. II, V, III, IV, I 8. Which theorem can be used to prove that the triangles in the figure below are congruent? A. side-by-side (SSS). side-angle-side (SAS). angle-side-angle (ASA) D. angle-angle-side (AAS) page 2 MATH 2 EXAM REVIEW 3
3 9. Which principle of congruence could be used to prove triangle RST is congruent to triangle XYZ? 11. Given: A and D intersect at point E; 1 = 2 A. Side-Side-Side (SSS). Side-Angle-Side (SAS). Angle-Side-Angle (ASA) D. Side-Side-Angle (SSA) 10. Which theorem of congruence should be used to prove QRS = TUV? Which theorem or postulate can be used to prove AED E? A. AA. SSS. ASA D. SAS 12. It is given that A = AD and A = DA. y the refleive property of congruent segments, A = A. Which reason could be used to prove A = AD? A. Angle-Side-Angle (ASA). Angle-Angle-Side (AAS) A. side-angle-side. hypotenuse-leg. side-side-side D. angle-side-angle. Side-Angle-Side (SAS) D. Side-Side-Side (SSS) page 3 MATH 2 EXAM REVIEW 3
4 13. In the figure below, D is the midpoint of A, and D is perpendicular to A. 16. The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse? A cm cm cm D cm 17. The diagram below shows the placement of a ladder against heri s house. What is the length of D? A. 15 centimeters. 16 centimeters. 18 centimeters D. 20 centimeters 14. What is the value of in the triangle below? The ladder needs to lean against the house at a height of 24 feet. How far should heri place the base of the ladder from her house? A. 1 foot. 7 feet. 35 feet D. 49 feet A D Triangle A, shown below, is a right triangle. 18. The diagonal of a square television screen measures 27 inches. What is the approimate length of the screen? A. 13 in.. 15 in.. 19 in. D. 21 in. What is the length of A? A. 2 units. 16 units. 64 units D units page 4 MATH 2 EXAM REVIEW 3
5 19. Which statement and reason complete the proof below? Statements Reasons 1) A DE; is a midpoint AE 1) Given 2) A = E 2) Definition of a midpoint 3) A = DE 3) If two parallel lines are cut by a transversal, then alternate interior angles are 4) A = ED 4) Vertical Angle Theorem 5) 5) 6) = D 6) orresponding parts of congruent triangles are A. A = ED; SAS. A = ED; ASA. is the midpoint of D; definition of a midpoint D. A = ED; corresponding parts of congruent triangles are congruent 20. Triangle RST is shown. How many units long is RS? A D. 12 page 5 MATH 2 EXAM REVIEW 3
6 Problem-Attic format version c EducAide Software Licensed for use by Aubrey Parker Terms of Use at MATH 2 EXAM REVIEW 3 5/9/ A A D A D
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Classify the Triangles by Sides or Angles Class Work Triangles Chapter Problems In problems #1-10, choose the most appropriate description for the given triangle. (quilateral, Scalene, Isosceles, Obtuse,
0613ge. Geometry Regents Exam 0613
wwwjmaporg 0613ge 1 In trapezoid RSTV with bases and, diagonals and intersect at Q If trapezoid RSTV is not isosceles, which triangle is equal in area to? 2 In the diagram below, 3 In a park, two straight