ABEKA PLANE GEOMETRY TEST 3, Exams of Advanced Education

ABEKA PLANE GEOMETRY TEST 3 2024

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2024/2025

Available from 10/22/2024

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ABEKA PLANE GEOMETRY TEST 3
when 2 st. lines are cut by a trans. and the int. angles on the same side of the trans.
contain 110 degrees and 70 degrees, the 2 lines are // - true
if a line is // to 1 of 2 perpendicular lines, it is also // to the other line. - false
if 2 angles are sup. to the same angle, they are sup. to each other. - false
the sum of 2 acute angles is an obtuse angle - false
if AB is the perpendicular bisector of segment CD, then AB passes through the midpoint
of CD. - true
if 2 adj. angles are sup. then their 2 isn't. sides are perpendicular. - false
2 triangles are congruent if 3 sides of one triangle are = respectively to three sides of
the other triangle. - true
if only 2 angles of a triangle are =, it will logically follow (not necessarily in one step) that
the triangle is isos. - true
if 2 adj. angles are complementary, a side of one of the angles is perpendicular to a side
of the other angle. - true
if 2 sides of a triangle are unequal, the angle opposite the greater side is the smaller
angles. - false
list 5 reasons for proving two triangles are congruent. - SSS, SAS, ASA, LA, LL
list 3 general ways to prove that 2 angles are =, excluding the definition. - CPCTE, vert.
angles, alt. int. angles of // lines
what must 2 angles share in common in order to be called adj? - same vertex and same
side between them
write the // post. - through a given pt. 1 and only 1 st. line can be drawn // to a given line
what is the supplement of a 47 degree angle? - 133 degrees
what is the complement of a 36 degree 27' angle? - 53 degrees 33'
the sum of the angles of a triangle is... - 180 degrees
a general statement accepted without proof to be true is a(n)... - axiom
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ABEKA PLANE GEOMETRY TEST 3

when 2 st. lines are cut by a trans. and the int. angles on the same side of the trans. contain 110 degrees and 70 degrees, the 2 lines are // - true if a line is // to 1 of 2 perpendicular lines, it is also // to the other line. - false if 2 angles are sup. to the same angle, they are sup. to each other. - false the sum of 2 acute angles is an obtuse angle - false if AB is the perpendicular bisector of segment CD, then AB passes through the midpoint of CD. - true if 2 adj. angles are sup. then their 2 isn't. sides are perpendicular. - false 2 triangles are congruent if 3 sides of one triangle are = respectively to three sides of the other triangle. - true if only 2 angles of a triangle are =, it will logically follow (not necessarily in one step) that the triangle is isos. - true if 2 adj. angles are complementary, a side of one of the angles is perpendicular to a side of the other angle. - true if 2 sides of a triangle are unequal, the angle opposite the greater side is the smaller angles. - false list 5 reasons for proving two triangles are congruent. - SSS, SAS, ASA, LA, LL list 3 general ways to prove that 2 angles are =, excluding the definition. - CPCTE, vert. angles, alt. int. angles of // lines what must 2 angles share in common in order to be called adj? - same vertex and same side between them write the // post. - through a given pt. 1 and only 1 st. line can be drawn // to a given line what is the supplement of a 47 degree angle? - 133 degrees what is the complement of a 36 degree 27' angle? - 53 degrees 33' the sum of the angles of a triangle is... - 180 degrees a general statement accepted without proof to be true is a(n)... - axiom

the measure of each angle of an equilateral triangle is ___ degrees - 60 degrees when 2 lines intersect they form vertical angles that are... - equal a statement that is not self-evident but proved by a chain of reasoning is a(n)... - theorem base angles of an isos. triangle are... - equal a triangle having no = sides is a ___ triangle - scalene 2 lines that form rt. angles are called... - perpendicular lines if 2 // lines are cut by a trans. then the sum of the 2 ext. angles on one side of the trans. is... - 180 degrees 26 - 45 degrees 27 - 60 degrees 28 - 108 degrees 29 - 51 degrees 30 - 109 degrees 31 - 32 - proof: statements

  1. AC=BD, CB=DA
  2. AB=BA
  3. T. ABC = T. BAD - reasons
  4. given
  5. identity
  6. SSS proof: statments
  7. AB and CD bisect each other
  8. AO=BO, CO=DO
  9. A. AOC=A. BOD
  10. T. AOC=T. BOD