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I-Geometry Semester 1 Quiz 9 Prize Show. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 1. Always, Sometimes or Never?. a) A triangle has 3 medians. Always. b ) A triangle has 3 altitudes. Always. All 3 medians are inside the triangle. Always.
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I-Geometry Semester 1 Quiz 9 Prize Show
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
1. Always, Sometimes or Never? a) A triangle has 3 medians Always b) A triangle has 3 altitudes Always All 3 medians are inside the triangle Always d) All 3 altitudes are inside the triangle Sometimes BACK
2. a) How can you prove triangles congruent? SSS ASA SAS AAS b) What does CPCTC stand for? Corresponding Parts of Congruent Triangles are Congruent BACK
D is the midpoint of MP. MD = x + 6 MP = 3x – 2 Find PD M D P x + 6 3x – 2 2(x + 6) = 3x – 2 2x + 12 = 3x – 2 14 = x PD = 14 + 6 = 20 BACK
4. ∆JAB ∆GWM What is the measure of J? J 5x + 4x – 5 + 3x + 5 = 180 12x = 180 x = 15 M J = G = 4(15) – 5 = 55 (4x – 5) (3x + 5) B (5x) G W A (5x) BACK
5. The sum of an angle’s complement and its supplement is 10 more than 3 times the angle. Find the measure of the angle’s supplement. 90 – x + 180 – x = 10 + 3x 270 – 2x = 10 + 3x 260 = 5x 52 = x supplement 180 – 52 = 128 BACK
6. ∆JAB ∆GWM Name the 6 pairs of congruent parts. J G A W B M JA GW AB WM JB GM BACK
G 1 2 E M O a) If GO is a median, then ____ ____ EO OM 7. b) If GO is an altitude, then _________, so ____ ____ 1 & 2 are rt s, so 1 2 BACK
2 1 3 4 8. a) 1 & 3 are ________ Vertical angles b) 1 & 2 are ________ A linear pair c ) 1 & 4 are ________ A linear pair d) 2 & 4 are ________ Vertical angles BACK
9. ∆YES ∆BLA. Name all congruent s and segments Y B YS BA E LYE BL S AES LA BACK
10. a) What conclusion can you draw if GH is a median? G 1 2 R P H RH HP b) What conclusion can you draw if GH is an altitude? 1 & 2 are rt s; and 1 2 BACK
11. Always, Sometimes, Never a) All of a triangle’s altitudes are inside the triangle sometimes b) A median is also a side of the triangle. never c) An altitude is also a side of the triangle. sometimes BACK
12. Always, Sometimes, Never a) A triangle has 3 altitudes always b) A triangle has 4 medians never c) All of the medians are inside the triangle. always BACK