Lesson 13-2 The Angle Bisector Theorem
lank In 1 4, use the diagram at the right. VT bisects SWV. Write a fraction thatbisects SVW and WRis equal to the given fraction but uses different lengths fromthe diagram.VR1. ?SRVW ?2. TWVW3. ?VSRZ4. ZW ?TRZWVG5. Suppose you were trying to reproduce the proof of theAngle Bisector Theorem using the diagram at the right bisects HGJ ). Copy the diagram and draw the(where GIauxiliary lines that you would use for your proof.S bisects6. In the figure at the right SQ PSR. Find x.9HP is an7. In the figure below, suppose DB angle bisector. Find DC.12x8R117.9JQDCIBE9K8. In the figure at the right, JL bisects J. If JM 14,JK 6, and KM 10, find LM.LM9. In the figure below, if BC 15 cm, find x.BxJF8 cmA12 cmC10. Copy AB onto another piece of paper.Use a compass andAPstraightedge to find the point P on AB so that 23 .PBAB11. Make a second copy of AB from Question 10. Divide AB intothree congruent pieces using the angle bisector constructionmethod from this lesson.BsAPPLYING THE MATHEMATICSFill in the Blank In 12 and 13, use the diagram at the right, in and BE are angle bisectors.which CDv uv?12.13.u ?t 784DrtCuEvASimilar Triangles and TrigonometrySMP SEGEO C13L02 781-785.indd 7845/23/08 11:46:24 AM
Lesson 13-2A is an14. In the figure at the right, ADangle bisector.18Area( ABD)a. What is ?Area( ACD)B(Hint: You do not have tocalculate any areas to findthe ratio.)1615DQCb. Generalize Part a.15. In the 30-60-90 right triangle shown at the right, the 30º angle isbisected. Find x to the nearest hundredth.200B16. Indiagram at the right,the bisects A,ED AC, ADAB 9, and AC 12. Find ED.60 DERAT xPCREVIEW17. The surface of the pill pictured at the right consists oftwo hemispheres and a cylinder. The radius of the eachhemisphere is r and the height of the cylindrical portion is 2r.a. Write an expression for the volume of the pill.2rr(Lessons 10-6, 10-3)b. Write an expression for the surface area of the pill.(Lessons 10-7, 9-9)18. Suppose a circle is inscribed in anequilateral triangle with sides oflength 16. What is the exact area ofthe circle? (Lesson 8-9, 8-7)19. Find the exact area of the triangle inQuestion 18. (Lessons 8-7, 8-4)20. Draw a figure that has 4-fold rotationsymmetry but no reflection symmetry. (Lessons 6-7, 6-1)EXPLORATIONC21. Suppose one angle of an equilateraltriangle is trisected by two rays, asshown at the right. Do those rays dividethe opposite side into 3 equal lengths?Justify your answer.QY ANSWERADEBq bp aq b or p aThe Angle Bisector TheoremSMP SEGEO C13L02 781-785.indd 7857855/23/08 11:46:27 AM
The Angle Bisector Theorem 781 Lesson 13-2 The Angle Bisector Theorem Lesson 13-2 BIG IDEA The bisector of any angle of a triangle splits the opposite side into two segments whose lengths are in the same ratio as the sides including the original angle. In Lesson 6-2, you learned that the bisector of the vertex angle of
May 02, 2018 · D. Program Evaluation ͟The organization has provided a description of the framework for how each program will be evaluated. The framework should include all the elements below: ͟The evaluation methods are cost-effective for the organization ͟Quantitative and qualitative data is being collected (at Basics tier, data collection must have begun)
Silat is a combative art of self-defense and survival rooted from Matay archipelago. It was traced at thé early of Langkasuka Kingdom (2nd century CE) till thé reign of Melaka (Malaysia) Sultanate era (13th century). Silat has now evolved to become part of social culture and tradition with thé appearance of a fine physical and spiritual .
On an exceptional basis, Member States may request UNESCO to provide thé candidates with access to thé platform so they can complète thé form by themselves. Thèse requests must be addressed to esd rize unesco. or by 15 A ril 2021 UNESCO will provide thé nomineewith accessto thé platform via their émail address.
̶The leading indicator of employee engagement is based on the quality of the relationship between employee and supervisor Empower your managers! ̶Help them understand the impact on the organization ̶Share important changes, plan options, tasks, and deadlines ̶Provide key messages and talking points ̶Prepare them to answer employee questions
Dr. Sunita Bharatwal** Dr. Pawan Garga*** Abstract Customer satisfaction is derived from thè functionalities and values, a product or Service can provide. The current study aims to segregate thè dimensions of ordine Service quality and gather insights on its impact on web shopping. The trends of purchases have
Chính Văn.- Còn đức Thế tôn thì tuệ giác cực kỳ trong sạch 8: hiện hành bất nhị 9, đạt đến vô tướng 10, đứng vào chỗ đứng của các đức Thế tôn 11, thể hiện tính bình đẳng của các Ngài, đến chỗ không còn chướng ngại 12, giáo pháp không thể khuynh đảo, tâm thức không bị cản trở, cái được
4 Step Phonics Quiz Scores Step 1 Step 2 Step 3 Step 4 Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 . Zoo zoo Zoo zoo Yoyo yoyo Yoyo yoyo You you You you
Before measuring an angle, it is helpful to estimate the measure by using benchmarks, such as a right angle and a straight angle. For example, to estimate the measure of the blue angle below, compare it to a right angle and to a straight angle. 90 angle 180 angle A right angle has a measure of 90
