g) Adjacent angles are ALWAYS supplementary (form a straight angle or equal 180 degrees). D A C B E [1] 8) In the following diagram, DE is parallel to FG. Angles in parallel lines RAG. STUDY. endobj Working with angles in parallel lines. Geometry (Rules (Parallel Lines, Angles on a straight line equal 180 , Angles to a point equal 360 , Vertically opposite angles are equal , Angles in a triangle add to 180 ), Pythagoras, Triganometry - SOHCAHTOA, Interior and exterior angles) A C B D 5x + 100 7x - 400 A B C . ANGLES: PARALLEL LINES Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Fill in the boxes at the top of this page with your name, centre number and candidate number. Saved … ANGLES Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. 2 0 obj Look for an ‘F’ shape. pdf, 913 KB. Corresponding angles are equal. When parallel lines a and b (a || b) are intersected by a transversal line t, eight angles are formed. Angle ACB = 69° and angle CED = 52°. Angles in Parallel Lines (Worksheets with Answers) 4.9 135 customer reviews. For now, given this, what can we say about the two non-right angles of a right triangle? Parallel lines, transversal, alternate angles, corresponding angles, allied angles, co-interior angles and vertically opposite angles. Parallel Lines - Geometry Rules Angles adjacent (next to) to each other on a straight line add up to 180º .Maths Statement: straight ∠ When two lines intersect, their opposite angles are equal .Maths Statement: vert. • angles a and p are equal, • angles b and q are equal, • angles c and r are equal, • angles d and s are equal. Solution: It is given ∠E = 50°. Topic: Angles in Parallel Lines The diagram shows a bicycle frame. 2. Likewise, we can prove using other angles too. When lines intersect, angles are formed in several locations. Angles in parallel lines Parallel lines are lines which are always the same distance apart and never meet. About this resource. They are found in an F-ghape. • Answer the Questions in the spaces provided – there may be more space than you need. Learn vocabulary, terms, and more with flashcards, games, and other study tools. 5-3 Theorems - Congruent Angles with Parallel Lines.PDF. The lines make a Z shape. PLAY. Angles that are on the opposite sides of the transversal are called alternate angles e.g. endobj A line cutting across two parallel lines creates four pairs of equal corresponding angles, as in the diagram below: Note: You may also have heard these referred to as ‘F angles’ – do not use that term in an exam or you will lose marks! Do a similar activity to show that the angles of a … Year 8 Interactive Maths - Second Edition . With parallel lines there are 3 more rules: Corresponding angles are equal. There are 3 main rules: 1. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About ; … Geometry: Angle Puzzles involving Parallel Lines cut by Transversals III. ��!���D&�|�/��7��Od�����������@#|��RCS������@���w�4`�no����,�*#R*j �*�)#�����Od�^~�)����DIA���?��*Y �d��$9����X"O��f�o�3?�19s�� �$[�cA�nX>���'���ZS���� ���C�d�B'_�E���� �����e)e��3ic��=�g�+K3AgT����|�����TR�Up��wb�\�Xk����� DFP�����.�?jgA���lZ�},֗� ��r*D��"�����~� We will prove this more rigorously later on. $$\measuredangle 1 \cong \measuredangle 2$$ $$\measuredangle 3 + \measuredangle 4 = 180^{\text{o}}$$ Theorem 14, 15, 16. Sign In. A line cutting across two parallel lines creates four pairs of equal corresponding angles, as in the diagram below: Note: You may also have heard these referred to as ‘F angles’ – do not use that term in an exam or you will lose marks! ... Work out the size of x. If two angles have their sides respectively parallel, these angles are congruent or supplementary. A line crossing a pair of parallel lines forms pairs of angles that are either congruent or supplementary. Alternate exterior angles: Angles 1 and 8 (and angles 2 and 7) are called alternate exterior angles.They’re on opposite sides of the transversal, and they’re outside the parallel lines. Certain angles are given “names” that describe “where” the angles are located in relation to the lines. My first two sets of angles puzzles have had many downloads so I wanted to post some new puzzles for those of you who have found them to be helpful. Log in to share this resource. Interior angles between parallel lines add up to 180 ° In the diagram, k + l = 180 °. 3.2 Use Parallel Lines and Transversals Obj. Created by. DOWNLOAD PDF (145.3KB) Share Embed Donate. Angles in triangles add up to 180 degrees. Description. Worksheet – Section 3-2 Angles and Parallel Lines Objectives: • Understand the parallel lines cut … Search. These angles can be made into pairs of angles which have special names. Proving Theorems about Lines and Angles … opp. Theorem: If two lines are cut by a transversal and the interior angles on the same side of the transversal are supplementary, the lines are parallel. ANGLES: PARALLEL LINES Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. NAME: RULE: DIAGRAM : Angle sum of triangle: Add to 180 degrees: Equilateral triangle: All angles equal 60 degrees: Isosceles triangle: Base angles are equal: Exterior angle of triangle: … Recall these usual rules of angles (always true): Angles around a point add up to 360°. If p and q are two lines parallel to each other and ∠E = 50°, find all the angles in the figure below. Triangle and Its Angles 3. 5-3 Theorems - Congruent Angles with Parallel Lines.PDF. In this diagram the two angles are not equal, j is obtuse and k is acute. Angles in quadrilaterals add up to 360 degrees. This is why they are called alternate angles. Co-interior angles add up to 180°. m = 28 Corresponding angles m+n = 180 Angles on a straight line n = 152 Angles in quadrilaterals We have already seen that the angles in any quadrilateral add up to 360 .There is an interesting special case that allows us to use what we have just learned about angles in parallel lines: These pairs of angles are called corresponding angles. a and b j are corresponding angles c and d a 5 b c 5 d e and f j are alternate angles. Intersecting lines cross each other. Maybe a homework, with them writing their ideas down for discussion next lesson. 2. 3 0 obj They are found in a Z-shape. As a discussion after having learned about angles on parallel lines, this can make a great starter. x��[[�۸~`����V���(��b���{�C{܉'�L��E��!%;�-�q&΢��Ԗ��I�C^�A^�z����ޓ��k���;������GF�%w�7����!$��(-�����?��6�7)��_oo>'o��"�- $$\text{then } \ a \parallel b$$ Theorem 13. Instructions Use black ink or ball-point pen. The two lines are parallel → The corresponding angles are equal. extend-angles-within-parallel-lines. Exam questions are included as an extension task. In the diagram, the parallel lines are arrowed. There are 3 main rules: 1. 1.Lines and Angles: Point: Point is a basic concept in Geometry. When a line crosses a pair of parallel lines, there are only two different angles, one acute and one obtuse. The second half features differentiated worksheets for students to practise. 6 0 obj << Also, recall that a straight angle is equal to 180°. Create. (2) Any pair of blue numbered angles is a pair of congruent angles. You can show that: (1) Any pair of black numbered angles is a pair of congruent angles. two pairs of vertically opposite angles: Parallel lines intersected by a transversal Investigating angle sizes. 350 700 1 100 . 350 700 1 100 . Image result for transformation rotation. Menu Skip to content. 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