EOC Practice 1 1. Given: ⃡ and ⃡ intersect at point A. Which conjecture is ALWAYS true about the given statement? G.3 A S A. XA = AY B. XAZ is acute. C. ⃡ is perpendicular to ⃡ D. X, Y, Z and W are noncollinear. 2. If a polygon is a square, then it is a quadrilateral. G.3A R, G.2B S, G.3C S What is the converse of this conditional statement? A. B. C. D. If a quadrilateral is a square, then it is a polygon. If a polygon is a quadrilateral, then it is a square. If a polygon is not a quadrilateral, then it is not a square. If a polygon is not a square, then it is not a quadrilateral. 3. What is the measure of 1 in the figure? A. B. C. D. 41 65 102 115 4. How many sides does a heptagon have? A. B. C. D. G.2B R, G.9B S 5 sides 6 sides 7 sides 8 sides G.2B R, G.9 B S, G.11A S EOC Practice 2 1. Which lists the sides of ΔBCD in order from shortest to longest? A. B. C. D. ̅̅̅̅ , ̅̅̅̅ , ̅̅̅̅ ̅̅̅̅ , ̅̅̅̅ , ̅̅̅̅ ̅̅̅̅, ̅̅̅̅ , ̅̅̅̅ ̅̅̅̅ , ̅̅̅̅ , ̅̅̅̅ 2. Which of these is an example of deductive reasoning leading to a correct conclusion? A. B. C. D. G.3B S G.3 Bill is a Dalmatian. All Dalmatians have spots. Therefore, Bill has spots. All roses are plants. All roses have thorns. Therefore, all plants have thorns. All of Mary’s sisters have brown eyes. Linda has brown eyes. Therefore, Linda is Mary’s sister. Oak trees have leaves. Maple trees have leaves. Birch trees have leaves. Therefore, all trees have leaves. 3. ΔABC is an equilateral triangle with side lengths of 10 inches. G.5D R What is the length, in inches, of ̅̅̅̅ ? A. 5 B. √ C. √ D. √ 4. Which set of side lengths could represent the sides of a triangle? A. 3 cm, 5 cm, 9 cm B. 4 cm, 7 cm, 12 cm C. 5 cm, 9 cm, 13 cm D. 6 cm, 11 cm, 18 cm G.9B S EOC Practice 3 1. What is the inverse of the statement in the box? G.3A S If a polygon is regular, then it is convex. A. B. C. D. If a polygon is not regular, then it is not convex. If a polygon is convex, then it is regular. If a polygon is not regular, then it is convex. If a polygon si not convex, then it is not regular. 2. What type of figure is shown? G.2B R G.9B S A. Convex triangle B. Convex quadrilateral C. Concave triangle D. Concave quadrilateral 3. What is the distance between (4, -1) and (-2, 3)? A. √ G.7B R G.9A S G.7C B. √ C. √ D. √ 4. On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7) and (6, 4). What is the area of the shape if each grid unit equals one centimeter? A. B. C. D. 18 cm2 24 cm2 36 cm2 42 cm2 G.10A S EOC Practice 4 G.9B S 1. Which statement is logically equivalent to the given statement? If a quadrilateral is a rhombus, then it is a parallelogram. A. B. C. D. If a quadrilateral is a parallelogram, then it is a rhombus. If a quadrilateral is not a rhombus, then it is not a parallelogram. If a quadrilateral is not a rhombus, then it is a parallelogram. If a quadrilateral is not a parallelogram, then it is not a rhombus. 2. What is the value of k? G.2B R, G.9BS A. 35 B. 40 C. 55 D. 70 3. Which additional facts prove that ΔRST and ΔZXY are congruent? G.10BR A. ∠R ≅ Z and T ≅ Y B. ∠R ≅ Y and T ≅ Z C. ̅̅̅̅ ≅ ̅̅̅̅ and ̅̅̅̅ ≅ ̅̅̅̅ D. ̅̅̅̅ ≅ ̅̅̅̅ and ̅̅̅̅ ≅ ̅̅̅̅ 4. In each of the following figures, transversal c cuts lines a and b. In which figure are ∠1 and ∠2 corresponding angles? A. B. C. G.3C, G.9A D. EOC Practice 5 1. Which two segments in the drawing above are most likely parallel? G.7B R A. ̅̅̅̅ and ̅̅̅̅ B. ̅̅̅̅ and ̅̅̅̅ C. ̅̅̅̅ and ̅̅̅̅ D. ̅̅̅̅ and ̅̅̅̅ 2. What is the measure of C in quadrilateral ABCD ? G.9B S A. 46° B. 56° C. 86° E. 96° 3. P(−3, 5), Q(1, 7), R(8,1), and S(−4,−5) are connected to form a trapezoid. G.7C R What is the midpoint of ̅̅̅̅? A (0, -3) B (4, -1) C (3, -1.5) D (2, -2) 4. A student is making a model of a suspension bridge. A sketch of the model is shown below. G.5D R What length of wire should be cut to stretch from X to Y? Round your answer to the nearest tenth. A. 30.0 cm B. 38.7 cm C. 41.2 cm D. 50.0 cm
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