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Geo-party! Ch 3 RV What’s My Line? Slippery Slopes What’s Your Angle? Parallel Thinking Thinking Conversely 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Question: Use Figure 1 PH = 5,PT = 10, and HT = 7, give the angles of triangle PTH in order from least to greatest Answer: m<PTH < m<P < m<PHT Question: Use figure 1 If m<P = 40 and m<PTH = 30, order the sides of triangle PTH from greatest to least Answer: PT > HT > PH Question: Using figure 1 If PH is perpendicular to HT, what is the longest side of triangle PHT? Answer: PT Question:Use figure 1 m<P=50 m<PHT = 90 m<PTH = 40 m<THA = 60 m<A = 90 m<HTA = 30 Find the longest side of the entire shape. Answer: PT Question: Use figure 1 If PT = AT and m<PTH < m<HTA, what inequality statement can you state using the Hinge Theorem? Answer: PH < HA Question: Can you form a triangle given the side lengths of 5, 8, 14? Explain why or why not. Answer: NO – 5 + 8 < 14 Given that two sides of a triangle are 15 and 4, give all possible values for the third side. Answer: 11 < x < 19 Given the midpoints of a triangle are L (1, 2), M (4, 4), and N (3, 1), list the vertices of the triangle. Answer: (6, 3), (2, 5), and (0, -1) List the sides of ABC in order from the smallest to the largest given that m A = 4x+20, mB = 2x+10, and m C = 3x-30. Answer: AB < AC < BC Given A (-5, 3), B(-1, 2) and C(4, -8). Is it possible to form a triangle with the given vertices? If so, name the largest and smallest angles. Answer: Yes, it is possible largest angle: B smallest angle: C Question: Given triangle COW: if CD is a median of the triangle, what conclusion can be made? Answer: OD = DW Question: Use figure 2 Name a median of the picture Answer: segment AD Given triangle COW and CD is a median of the triangle with OD = 5x - 11, DW = 3x + 9 find OW Answer: 78 Given triangle COW and CD is a median of the triangle with OD = 4x + 5, OW = 20x - 2 find DW Answer: 9 Given triangle ABC with coordinates of A(3,4), B(1,-2) and C(-3,1). If AD is a median of triangle ABC find the coordinates of D. Answer: (-1, - ½ ) Question: Given triangle COW: if CD is an altitude of the triangle, what conclusion can be made? Answer: Either CD is perpendicular to OW or <CDO and <CDW are right angles Question: Use figure 2 Name an altitude of the picture Answer: segment CE Given triangle COW and CD is an altitude of the triangle with OD = 5x - 11, and m<CDO = 20x - 10 find OD Answer: 14 Given triangle COW and CD is an altitude of the triangle with m<COD = 10x, m<OCD = 2x - 6 find m<OCD Answer: 10 Given triangle ABC with coordinates of A(3,4), B(1,-2) and C(-3,1). What is the slope of BF if BF is the altitude from point B? Answer: -2 Refer to figure 3 Fill in the blank with <, >, or =. m<1 _____ m<6 Answer: < Refer to figure 3 Fill in the blank with <, >, or =. m<6 ______ m<8 Answer: < Refer to figure 3 Fill in the blank with <, >, or =. m<8 ______ m<1 Answer: > Refer to figure 3 Determine if the statement “m<7 = m<8” is always true, sometimes true, or never true. Answer: sometimes Use figure 3 Determine if the statement “m<5 = m<7” is always true, sometimes true, or never true. Answer: never