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In problems 1-5, write A for always, S for sometimes, or N for never. 1 An obtuse triangle has 3 obtuse angles. 2 A right triangle is isosceles. 3 The base of an isosceles triangle is shorter than either leg. 4 A median of a triangle bisects the side to which it is drawn. 5 If a median of a triangle is also an altitude, then it is also an angle bisector. Use the diagram for problems 6, 7 and 8. 6. If ┳BEC is isosceles, which of the following must be given in order to prove ┳BAE ≅ ┳CDE by ASA? a ∠2 ≅ ∠3 b AB ≅ CD c AE ≅ ED d ∠ABC ≅ ∠DCB 7. Given AB ≅ CD and AC ≅ BD. In order to prove the pair of overlapping triangles congruent, what additional fact must we use? a Vertical angles are congruent. b The reflexive property c The addition property d If ┳ , then ┳ . 8. Given AE ≅ ED and BE ≅ CE, what additional given is required in order to prove ┳ABE ≅ ┳DCE by H.L.? a ∠1 ≅ ∠4 b AB ≅ CD c ∠1 and ∠4 are right angles. d BD ∥ AC 9. If ┳PQR ≅ ┳TWV, which of the following is not necessarily true? a ∠P ≅ ∠T b VT ≅ RP c QR ≅ WT d ∠W ≅ ∠Q
James K.
1. In the same figure, what conditions guarantee that the quadrilateral is a parallelogram if ΔDAB ≅ ΔBCD? A. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. B. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. C. A quadrilateral is a parallelogram if the diagonals bisect each other. D. A quadrilateral is a parallelogram if each diagonal formed two congruent triangles. 2. What are the measures of the other three angles of the parallelogram (in no particular order) if one of its angles measures 115°? A. 65°, 65°, 115° B. 30°, 60°, 90° C. 60°, 90°, 115° D. 65°,115°, 115° 3. In parallelogram ABCD, if AC + BD = 24 cm, and CE = 5cm, what is the length of BD? A. 5cm B. 7cm C. 10 cm D.14 cm 4. Two opposite angles of a parallelogram measures x + 40° and 3x - 20°, what is the value of x? A. 10 B. 30 C. 60 D. 70 5 A study table in a form of a parallelogram has a perimeter measuring 56 inches. If one pair of the opposite side measures 2x - 5 and x + 3, what are the dimensions of the study table? A. 34 inches x 22 inches B. 17 inches x 11 inches C. 30 inches x 26 inches D. 15 inches x 13 inches 1. How do you describe any two opposite angles in a parallelogram? A. They are always congruent C. They are complementary B. They are supplementary D. They are both right angles 2. Which of the following statement is true? A. Every square is a rectangle C. Every rhombus is a rectangle B. Every rectangle is a square D. Every parallelogram is a rhombus 3. What can you say about any two consecutive angles in a parallelogram? A. They are always congruent B. They are always supplementary C. They are sometimes complementary D. They are both right angles 4. Which of the following quadrilaterals has diagonals that do not bisect each other? A. Square B. Rhombus C. Rectangle D. Trapezoid 5. Which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram? A. Two pairs of sides are parallel. B. Two pairs of opposite sides are congruent. C. Two consecutive angles are supplementary. D. Two diagonals bisect each other. 6. Which of the following is NOT true about rectangles? A. Diagonals are congruent. C. All angles are congruent. B. Diagonals are perpendicular. D. All angles are right angles. 7. How do you call a parallelogram whose all angles are right angles and all sides are congruent? A. Square B. Rectangle C. Rhombus D. Trapezoid 8. Which of the following statements is never true? A. A square is a rectangle C. A rhombus is a parallelogram B. A parallelogram is a rectangle D. A rectangle is a rhombus 9. Which of the following statements is false? A. The diagonals of the rectangle are congruent. B. Diagonals of the rhombus are congruent and perpendicular to each other. C. Opposite angles of a rhombus are congruent. D. Angles of a square are all right angles. 10. How will you describe the diagonals of a rhombus? A. Equal B. Parallel C. Perpendicular D. Congruent
Ashwani K.
7. If AD=y-2,EF=20 & BC=31, what is the value of y? A. 15 B. 11 C. 10.2 D. 25 8. The area of kite PLAY=135cm2 and diagonal LY=9cm, what is the measurement of the other diagonal? A. 50 B. 20 C. 30 D. 40 9. The trapezoid MILE with median OT, then OT||MT and OT||LE. What theorem supports this statement? A. The Midline Theorem C. The diagonal theorem B. The Mid-segment Theorem D. Parallel theorem 10. Which of the following quadrilaterals has diagonals that do not bisect each other? A. Square B. Rhombus C. Rectangle D. Trapezoid 11. Which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram? A. Two pairs of sides are parallel. C. Two angles are supplementary. B. Two diagonals bisect each other. D. Two pairs of opposite sides are congruent. 12. Which of the following is NOT considered as properties of a parallelogram? A. Diagonals bisect each other C. Opposite angles are congruent B. Opposite sides are congruent D. Opposite sides are not parallel 13. In quadrilateral NAME, ∠N is supplementary to ∠A. What kind of quadrilateral is quadrilateral NAME? I. Trapezoid II. Rhombus III. Kite A. I only B. II only C. III only D. I, II, and III 14. In quadrilateral RSTW, diagonals RT and SW are perpendicular bisectors of each other. Quadrilateral RSTW must be a: I. Rectangle II. Rhombus III. Square A. I B. III C. II and III D. 1, II, and III 15. The sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm. Find its length. A. 10 cm B. 15 cm C. 20 cm D. 25 cm
Jessica H.
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