* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download geo4-1
Survey
Document related concepts
Dessin d'enfant wikipedia , lookup
History of geometry wikipedia , lookup
Technical drawing wikipedia , lookup
Penrose tiling wikipedia , lookup
Euler angles wikipedia , lookup
Golden ratio wikipedia , lookup
Multilateration wikipedia , lookup
Apollonian network wikipedia , lookup
Trigonometric functions wikipedia , lookup
Rational trigonometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Euclidean geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Incircle and excircles of a triangle wikipedia , lookup
Transcript
1. Refer to the figure. What is the special name given to the pair of angles shown by 2 and 6? 2. Refer to the figure. Find m3. 3. Refer to the figure. Find m4. 4. Find the slope of the line that contains the points at (4, 4) and (2, –5). 5. What is the slope of a line that is perpendicular to the line • Identify and classify triangles by angles. • Identify and classify triangles by sides. • acute triangle • scalene triangle • obtuse triangle • isosceles triangle • right triangle • equilateral triangle • equiangular triangle Classify Triangles by Angles A. ARCHITECTURE The triangle truss below is modeled for steel construction. Use a protractor to classify ΔJMN, ΔJKO, and ΔOLN as acute, equiangular, obtuse, or right. Classify Triangles by Angles Answer: ΔJMN has one angle with measure greater than 90, so it is an obtuse triangle. ΔJKO has one angle with measure equal to 90, so it is a right triangle. ΔOLN is an acute triangle with all angles congruent, so it is an equiangular triangle. A. ARCHITECTURE The frame of this window design is made up of many triangles. Classify ΔABC. A. acute B. equiangular C. obtuse D. right A. B. C. D. A B C D B. ARCHITECTURE The frame of this window design is made up of many triangles. Classify ΔACD. A. acute B. equiangular C. obtuse D. right A. B. C. D. A B C D C. ARCHITECTURE The frame of this window design is made up of many triangles. Classify ΔADE. A. acute B. equiangular C. obtuse D. right A. B. C. D. A B C D Classify Triangles by Sides A. Isosceles triangles have at least two sides congruent. Answer: ΔUTX and ΔUVX are isosceles. Classify Triangles by Sides B. Scalene triangles have no congruent sides. Answer: ΔVYX, ΔZTX, ΔVZU, ΔYTU, ΔVWX, ΔZUX, and ΔYXU are scalene. A. Which of the following triangles are isosceles? A. ΔABC and ΔABD B. ΔADE and ΔAEB C. ΔBED and ΔACB D. ΔACD and ΔACB 1. 2. 3. 4. A B C D B. Which of the following triangles is scalene? A. ΔABE B. ΔACE C. ΔADE D. ΔABD 1. 2. 3. 4. A B C D Find Missing Values ALGEBRA Find d and the measure of each side of equilateral triangle KLM if KL = d + 2, LM = 12 – d, and KM = 4d – 13. Since ΔKLM is equilateral, each side has the same length. So KL = KM. Substitution 2 = 3d – 13 Subtract d from each side. Add 13 to each side. 5=d Divide each side by 3. Find Missing Values Next, substitute to find the length of each side. Answer: For ΔKLM, d = 5 and the measure of each side is 7. ALGEBRA Find x and the measure of each side of equilateral triangle ABC if AB = 6x – 8, BC = 7 + x, and AC = 13 – x. A. x = 10 and all sides are 3. B. x = 6 and all sides are 13. C. x = 3 and all sides are 10. D. x = 3 and all sides are 16. 1. 2. 3. 4. A B C D Use the Distance Formula COORDINATE GEOMETRY Find the measures of the sides of ΔRTS. Classify the triangle by sides. Use the Distance Formula Use the distance formula to find the lengths of each side. Answer: since all 3 sides have different lengths, ΔRST is scalene. Find the measures of the sides of ΔABC. Classify the triangle by sides. A. scalene B. isosceles C. equilateral D. cannot be determined A. B. C. D. A B C D