Based on Activity 14, you’ve discovered three theorems related to isosceles trapezoids as follows: • Theorem 7. New Resources. 13. Write a conjecture based on your results. Please don't tell me I'm lazy- I don't appreciate it so sacrifice the 2 points. Use dynamic geometry software. How can I prove that the 2 top angles of the isosceles trapezoid are congruent? Diagonals of an isosceles trapezoid are equal in length. 2. Be sure to move the BIG BLUE VERTICES of this ISOSCELES TRAPEZOID around as you answer each investigation question! Use the diagram at right and a method for making the triangles easier to see. Developing Proof As a group, write a flowchart proof that shows how the Isosceles Trapezoid Diagonals Conjecture follows logically from the Isosceles Trapezoid Conjecture. • Isosceles trapezoids are cyclic quadrilaterals, which means the four vertices lie on a circle. Move the vertices around. Reminder (see the lesson Trapezoids and their base angles under the current topic in this site). Step 7 : Draw both diagonals. Isosceles Trapezoid: Template (only) Students: The applet below contains a quadrilateral that ALWAYS remains an ISOSCELES TRAPEZOID. The consecutive angles between the bases of a trapezoid are supplementary. Assistance may be required. Communicate Your Answer 3. The diagonals of an isosceles trapezoid are congruent . EXTRA CREDIT: Create a Dodecagon Inscribed in a Circle; ApplePen2Text_iPad; The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases. Trapezoid Midsegment Conjecture: Definition. Step 8 : Copy and complete the conjecture. the diagonals of an isosceles trapezoid are congruent. Given examples of quadrilaterals and their component parts, the student will use explorations and concrete models to prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals. Kite Diagonal Bisector Conjecture. Diagonals of a kite are perpendicular. (AEA Conjecture) C-19 The base angles of an isosceles trapezoid are equal in measure. 7. the bases of a trapezoid are parallel. • The diagonals of an isosceles trapezoid are equal in length and divide the trapezoid as follows: • Three pairs of congruent triangles (Figure 4). • Theorem 9. Isosceles Trapezoid Conjecture: The base angles of an isosceles trapezoid are _____. Interactive popup. Trapezoid Consecutive Angles Conjecture. Complete the conjecture about the diagonals of a kite: The diagonals of a kite are Interactive button. Like kites, isosceles trapezoids have one line of reflectional symmetry. If you need help, see page 232, Example B. Using the segment tool , construct both diagonals on your isosceles trapezoid. Let’s continue. the diagonals of an isosceles trapezoid are congruent. (Isosceles Trapezoid Conjecture) C-20 A mid segment of a triangle is parallel to the third side and half the length of the base. trapezoid: bases: base angle: Trapezoid Consecutive Angles Conjecture: The consecutive angles between the bases of a trapezoid are _____. 4. (Highlight the segment (not the points) and choose Measure | Length.) Observe the two diagonals. Isosceles Trapezoid Conjecture (C-39) The base angles of an isosceles trapezoid are _____. Isosceles Trapezoid Conjecture: The base angles of an isosceles trapezoid are congruent. Kite and Trapezoid Properties. C-40 Isosceles Trapezoid Conjecture - The base angles of an isosceles trapezoid are congruent. This, according to my teacher, does not involve triangles. Use the diagram at right and a method for making the triangles easier to see. Isosceles Trapezoid Diagonals Conjecture: Definition. 300. a midsegmente of a triangle is parallel to the third side and half the lenghth of the third side. The sum of opposite angles in an isosceles trapezoid is 180 degrees. Trapezoid Midsegment Conjecture. Measure their lengths. base angles of a trapezoid are congruent. Base angles in an Isosceles trapezoid are congruent. (Lesson 2.6) ... C-41 Isosceles Trapezoid Diagonals ConjectureThe diagonals of an isosceles trapezoid are congruent. Trapezoid is a quadrilateral which has two opposite sides parallel and the other two sides non-parallel. Make a conjecture about the diagonals of an isosceles trapezoid. Compare their lengths. The "isosceles trapezoid diagonals conjecture" says that if you have an isosceles trapezoid, the two diagonals are congruent.