RS at V and W, respectively. As shown in the diagram below, lines m and n are cut by transversal p. If mO1 = 4x + 14 and mO2 = 8x + 10, lines m and n are parallel when x equals When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . PQ k! REF: 011729geo 13 ANS: ∠WTA and ∠HTC are congruent vertical angles. 16 C. 24 D. 28 3. 2. RS at V and W, respectively. An arc, indicating the measure of angle PQR, intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first but of the same measure and intersects … RS at Vand W, respectively. 16 C. 24 D. 28 3. RS at V and W, respectively. TU intersects! 6 B. 2.5 B. Use a protractor to measure the sizes of all the angles in … If mLFGB = (2x + 25) 0 and mLFHD = - 5)0, find E 6B O 3 (03 In the accompanying diagram, AB intersects PQ and RS at C and D, respectively. RS? If m∠TVQ 5x 22 and m∠VWS 3x 10, for which value of x is ||? Which two sets of construction marks, labeled I, II, III, and IV, are part of the construction of the A. ∠2 ≅ ∠3 2. def. Statements a and bare as given below: a: If two lines intersect, then the vertically opposite angles are equal. ∠s 4. RS? If PQ Il RS, mZRDB = - 10)0, and mZQCA = (31 - 65)0, find TU intersects! RS? Statement Reason 1. x ∥ y w is a transversal 1. given 2. ∠2 ≅ ∠6 3. def. b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°. RS? D. intersects, but is not perpendicular to line ‘ 2. 1) m ABD m CBD 2 1 2) m ABD m CBD 3)m ABD m ABC 4) m CBD m ABD 2 1 2. A. Which value of x would prove l k m? PQ and! PQ and! TU intersects! ∠s 3. PQ k! In square If mOTVQ = 5x 22 and mOVWS = 3x+ 10, for which value of xis! Line n intersects lines l and m, forming the angles shown in the diagram below. A line segment QR is drawn. 6 B. ID: A 2 12 ANS: GI is parallel to NT, and IN intersects at A (given); ∠I ≅∠N, ∠G ≅∠T (paralleling lines cut by a transversal form congruent alternate interior angles); GIA ∼ TNA (AA). In the diagram below, transversal! TU intersects! 3) 24 4) 28 = 3x + 10, for As shown in the diagram below lines m and n are cut by transversal p. IfmZ1 = 4x+ 14 and mL2 = are parallel when x equals 8x + 10, lines m and n PQ and! In the diagram below, transversal TU intersects PQ and RS at Vand W, respectively. 4.5 C. 6.25 D. 8.75 7. In the diagram below, transversal! In the diagram below, transversal! 16 C. 24 D. 28 2. As shown in the diagram below, lines m and n are cut by transversal p. If mO1 = 4x + 14 and mO2 = 8x + 10, lines m and n are parallel when x equals A. 3 In the diagram below, transversal intersects and at computations. 6 B. If mOTVQ = 5x 22 and mOVWS = 3x + 10, for which value of x is! A. Given: x ∥ y and w is a transversal Prove: ∠3 ≅ ∠6 What is the missing reason in the proof? PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. (1) 6 (3) 24 (2) 16 (4) 28 4 The measures of the angles of a triangle are in the ratio 2:3:4. Parallel lines intersected by a transversal Investigating angle sizes. PQ k! A. If m O TVQ = 5 x ± 22 and m O VWS = 3 x + 10, for which value of x is! In the diagram below, transversal! Line segment AB is shown in the diagram below. V and W, respectively. In the figure below, line n is a transversal cutting lines l and m . In the accompanying diagram, parallel lines AB and CD are intersected by transversal EF at points G and H, respectively. 6 B. A. Midterm Multiple Choice Practice 1. In the figure the pairs of corresponding angles are: Based on the construction below, which statement must be true? Transversal In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. 1 B. of vert. The diameter of the base of a right circular cylinder is 6cm and its height is 15cm. In the figure below right, PQ is a transversal to parallel lines JK and LM. In the figure below left, EF is a transversal to AB and CD. If mZTVQ 5x- 22 and mZVWS which value of x is PQ Il RS ? If mOTVQ = 5x 22 and mOVWS = 3x + 10, for which value of x is! PQ k! PQ and! of corr. ∠3 ≅ ∠6 4. transitive property symmetric property … Since WA CH, ∠WHC and ∠AWH are alternate interior angles and congruent and ∠ACH and ∠WAC are alternate interior …
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