Geo Chapter 5- Properties of Triangles

Which term best describes line n?^{5.1}A nangle bisector perpendicular bisector right angle bisector D ^{5.1}What is true about the diagram below? A CB nD CD > AD AD = BD CA = CD CD = AB ^{5.1}Find the length of CD? A CD = 7 4.2 CB n4.2 D ^{5.1}Find the length of AD? A 6.5 AD = CB n3.8 D ^{5.1}Angle Bisector perpendicular midpoint perpendicular bisector Which term best describes ray LJ? ^{5.1}Given the following diagram find the length of LK? LK = 6.8 3.6 _{62o}_{62o}^{5.1}Given the following diagram find the measure of ∡HJK? m∡HJK = o 6.8 3.6 _{62o}6.8 _{62o}^{5.1}Given that LJ bisects ∡HJK find the value of y, and the length of LH y = LH = 6y - 8 3.6 _{62}∘3y + 4 _{62}∘^{5.1}A X Y Find the value of x and the length of YZ 2x + 3 3x - 5 Z x = YZ = ^{5.1}A X Y Given the following diagram what can you conclude? Z ∡A ≅ ∡Y AZ ≅ YZ ∆YXZ ≅ ∆AXZ all of the above ^{5.1}Given the following diagram and the fact that ∡HJK = 138 ^{o }find the m∡LJKm∡LJK = o 3.6 3.6 ^{5.2}The three angle bisectors of a triangle intersectto form which point of concurrency? midpoint Incenter Circumcenter Circumference ^{5.2}The perpendicular bisectors of thethree sides of a triangle intersect to form which point of concurrency? midpoint Incenter Circumcenter Circumference ^{5.2}What is the name of point C in the diagram below? Circumcenter Incenter Angle bisector Perpendicular bisector ^{5.2}What is the name of point P in the diagram below? Circumcenter Incenter Angle bisector Perpendicular bisector ^{5.2}C is equidistant towhich of the following points? CF = CD = CE CL = CM = CN CD = CL = LF CM = ME = EN ^{5.2}Given the following diagram which statement is correct? PX = PY = PZ PX = PC = CZ PA = PB = PC BY = BZ = ZC ^{5.2}Given P is the incenter of ∆ABC find the length of PX. PX = 4.7 1.4 3.2 AB and CB are angle bisectors. Find the m∡BAC ^{5.2}m∡BAC = A o B _{33o}C 50 ^{o}D AB and CB are angle bisectors. Find the m∡BCD ^{5.2}m∡BCD = A _{20o}o B C 62 ^{o}D AB and CB are angle bisectors. Find the distance from B to CD. ^{5.2}distance = A 5.9 3.4 B 4.2 C D CN = LM = ^{5.2}C is the circumcenter of ∆LMN find the following lengths ME = 3.2 4.8 2.5 CM = 8.8 ^{5.3}A line that goes from the vertex of an angle to the midpoint of the opposite side of a triangle is called? circumcenter Incenter median centroid ^{5.3}D is the intersection point of two medians which is the correct relationship of two segments? CD = DE CD = ⅔CE CD = ⅓CE DE = ½CE A E D C G B 5.3 D is the intersection point of two medians If AG = 12 find AD and DG AD = DG = A E D C G B ^{5.3}DB = DE = D is the intersection point of two medians Find the following lengths in the triangle AC = CE = A F 2 7.1 E D 6 C G B ^{5.3}Given that B is the centroid of ∆JHK Which of the following is true? HB = ⅔ HD CB = ½ KB BE = ⅓ JE All of the above ^{5.3}DB = DE = D is the intersection point of two medians Find the following lengths in the triangle GC = CE = A F 5 E D 8 C G 18 B ^{5.4}Find the coordinates of the midpoint of AB. If A = (-4,3) and B = (6, 1) midpoint = Give your answer as a coordinate with NO spaces ex. (-3,7) Given: D is the midpoint of BA and E is the midpoint of BC What is the name of segment DE? ^{5.4}median midpoint midsegment centroid Given: D is the midpoint of BA and E is the midpoint of BC Which of the following statements are true? ^{5.4}DE = ½ AC DE // AC ∡BDE ≅ ∡DAC All of the above slope = reduce to lowest terms Given that UV is the midsegment of ∆PMN find the slope of UV. ^{5.4}Is the slope the same as MN? Yes No Given that DE is a midsegment of ∆ABC find the following. ^{5.4}AD = DE = BC = 12.6 5 4.1 Given that DE is a midsegment of ∆ABC find the following. ^{5.4}AD = DE = 13 10 Given that ∆UVT is the midsegment ∆. Tell which of the following are true. TU = ½ PN MN // UV MP = 2(TV) All of the above ^{5.4}T Given that ∆UVT is the midsegment ∆. Tell which of the following are true. ∆TUV ≅ ∆TUM ∆TUV ≅ ∆PVU ∆TUV ≅ ∆TNV All of the above ^{5.4}T ^{5.5}A right triangle can have a right angle A right triangle can have an obtuse angle. A right triangle can't have an obtuse angle. A right triangle can have a straight angle. Which of the following is the opposite of the statement: "A Right triangle can't have an obtuse angle." ^{5.5}A linear pair of angles can be supplementary. A linear pair of angles can be complementary. A linear pair of angles can't be adjacent. A linear pair of angles can't be supplementary. Which of the following is the opposite of the statement: "A linear pair of angles can be adjacent." ^{5.5}Three angles add to = 180 not more. A right triangle has 2 legs and a hypotenuse. The 3 sides of a right triangle = 180 not more. An obtuse triangle means greater than 90. Which of the following is the reason why the statement below is false? "A Right triangle can have an obtuse angle" Given ∆HJM with the following side lengths. Which of the following statements is correct? ^{5.5}∡H < ∡J < ∡M ∡M < ∡H < ∡J ∡M < ∡J < ∡H ∡J < ∡H < ∡M H 4.3 J 7.2 5 M Given ∆HJM with the following angle measures. Which of the following statements is correct? ^{5.5}HJ < JM < HM MH < HJ < JM HJ < HM < MJ JM < HM < HJ H _{62o}J _{80o}_{38o}M _{5.7}Which of the following is a Pythagorean Triple? 3, 9, 12 2, 4, 6 5, 12, 13 2.5, 6.9, 7.3 _{5.7}In ∆ABC c ^{2} = 144, a^{2} = 64 and b^{2} = 99what kind of triangle is ∆ABC? acute obtuse right equlangular Find the hypotenuse of the triangle. Round to the nearest tenth. _{5.7}AC = A 5 B 7 C Find the missing leg of the triangle. Round to the nearest tenth. _{5.7}BC = 5.5 C A 14 B Use the side lengths to determine if the triangle is obtuse, acute or right. _{5.7}acute obtuse right A 10 4 C B 8 Use the side lengths to determine if the triangle is obtuse, acute or right. _{5.7}acute obtuse right A 10 7 C 8 B Use the side lengths to determine if the triangle is obtuse, acute or right. _{5.7}acute obtuse right A 17 15 C 8 B 5.8 Find the hypotenuse of the right triangle. Note: √ = the square root 8 8√2 8√3 16 _{45o}8 5.8 Find the legs of the right triangle. Note: √ = the square root 12√2 12 6√3 6 12√2 _{45o}5.8 6 4 4√3 12 Find the length of AB in the triangle. Note: √ = the square root A C 8 _{60o}B 5.8 12 24 12√3 6 Find the length of AC in the triangle. Note: √ = the square root A C 12 _{60o}B |

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