TOPIC 3 USING CONGRUENCE THEOREMS SKILLS PRACTICE continued 33 Magda told Sam that an isosceles 34 Sylvia drew what she thought was an trapezoid must also be a parallelogram isosceles trapezoid. She measured the because there is a pair of congruent sides base angles and determined that they in an isosceles trapezoid. Is Magda measured 81, 79", 101', and 99. Could correct? Explain your reasoning. her drawing be an isosceles trapezoid? Explain your reasoning. 35 Joanne constructed a kite with a perimeter 36 Ilyssa constructed a kite that has side of 38 centimeters so that the sum of the lengths of 8 inches and 5 inches. What are two shorter sides is 10 centimeters. What is the lengths of the other two sides? the length of each of the two longer sides? Explain your reasoning. PROBLEM SET 3: Chord Relationships > Use the given information to answer each question. Explain your reasoning. 1 If diameter BD bisects AC, what is the 2 If diameter FH intersects EG at a right measure of the angle of intersection? angle, how does the length of E/ compare to the length of IG? @ Carnegie Learning, Inc. The angle of intersection is 90" because diameters that bisect chords are perpendicular bisectors. Using Congruence Theorems > Skills Practice 117TOPIC 3 USING CONGRUENCE THEOREMS SKILLS PRACTICE continued > Determine each measurement. 7 If BD is a diameter, what is the length 8 If the length of AB is 13 millimeters, what of EC? is the length of CD? 5 cm + 0 A LF When a diameter of a circle is perpendicular to a chord, the diameter bisects the chord. EC = EA = 5 cm 9 If the length of AB is 24 centimeters, 10 If the length of BF is 32 inches, what is the what is the length of CD? length of CH? H 11 If the measure of ZAOB = 155%, what 12 If segment AC is a diameter, what is the is the measure of ZDOC? measure of ZAED? @ Carnegie Learning, Inc.TOPIC 3 USING CONGRUENCE THEOREMS SKILLS PRACTICE continued 3 How do the measures of KL and 4 If KP = LN, how does the length of QO LM compare? compare to the length of RO? K M P 5 If YO = ZO, what is the relationship 6 If GO = HO and diameter EJ is between TU and XV? perpendicular to both chords DF and /K, what is the relationship between GF and HK? E G W H