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Sandra Mendoza and Marco Zavaleta 8th period Our section was about the vocabulary that we have learned from the section. We had to fill in the blanks in the sentence that described the words. You should remember what the words mean and the way they are used in proofs to be the reason for a statement. 1. 2. 3. 4. 5. 6. 7. 8. H G D J A C B F By: Elizabeth & Steven Triangles can be identified by their angles, obtuse or right. Also by their sides as scalene, isosceles, or equilateral. Acute triangle= less then 90 degrees obtuse triangle= more then 90 degrees right triangle= is 90 degrees scalene triangle= all different sides isosceles triangle=two same sides equilateral triangle= all same sides 1. obtuse, isosceles triangle 2. Right angle, right triangle 3. equiangular, equilateral triangle 4-2 Made by : Cruz Gonzalez Lesly Hernandez The sum of measures of the angles of a triangle is 180. The measure of an exterior angle is equal to the sum of the measures of the two re mote interior angles. Angle sum theorem – the sum of the measures of the angles of a triangle is 180 All 3 angles from a triangle when added up are equal to 180 12. 85 13. 25 14. 95 4-3 By: Natalie Martinez Mildred Zamora Edgar Peralta Triangles that are the same size and shape are congruent triangles. Each triangle has three angles and three sides. If all six of the corresponding parts of two triangles are congruent, then the triangles are congruent. • • • If ABC is congruent to EFG, the vertices of the two triangles correspond in the same order as the letters naming the triangles This correspondence of vertices can be used to name the corresponding congruent sides and angles of the two triangles The corresponding sides and angles can be determined from any congruence statement by following the order of the letters. 15.) EFG DCB- E D, F C, G B, EF DC, FG CB, EG DB 16.) LCD GCF- L G, C C, D F, LC GC, CD CF, LD GF 17.) NCK KER- N K, C E , K R, NC KE, CK ER, NK KR Angela, Jessica, Javier This sections explains how you can determine whether two triangles are congruent. To determine if two triangles are congruent you need to use the distance formula. Each point of a triangle must be known. Determine if the corresponding side of one triangle is congruent to the corresponding side of another triangle. Determine whether MNP is congruent to QRS. M(0,3) N(-4,3) P(-4,6) Q(5,6) R(2,6) S(2,2) N R M P Q S Use the distance formula to identify if the corresponding sides are congruent. REMEMBER: Take the square root of your final answer!!!! MN= (3-7) ² + (2-4) ² QR= (-2-(-4) ) ² + (3-7) ² -4²+ 2² = 20 2²+ 4² = 20 NP= (7-6) ² + (4-6) ² RS= (-4(-6) ) ² + (7-6) ² 1²+2²= 5 2²+1²= 5 MP= (3-6) ² + (2-6) ² QS= (2-(-6) ) ² + (3 – 6) ² -3²+ 4²= 25 4²+3²=25 All corresponding sides are congruent, SSS, triangle MNP is congruent to triangle QRS. Statements Reasons 1. ∆DGC is congruent to ∆DGE 1. Given 2. ∆GCF is congruent to ∆GEF 2. Given Section 4-6 Properties of isosceles triangles Two sides of a triangle are congruent if and only if the angles opposite those sides are congruent A triangle is equilateral if and only if it is equiangular 22) Measure of angle PUQ = 32 23) Measure of angle R = 40 24) Measure of angle R = 30 25) Measure of angle P =80