GEOMETRY PACE 1109 TEST
Postulate 10
Angles that are complements of the same angle, or congruent angles, are congruent.
EGH is adjacent to?
HGO or HGF. (adjacent angles are two angles, that both have a vertex and a side in common, but do not have any interior points in common)
Postulate 9
If one line meets another line, the adjacent angles formed are always supplementary.
SSS Postulate
If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.
The measure of ABC = to the measure of 1 + the measure of 2 + the measure of 3
Partition property (The hole is equal to the sum of its parts, and is greater than any part)
An angle less than 90° is an ——— angle.
acute
ray
an endpoint and all points along the extension in the direction the ray is drawn
A ——— of an angle divides the angle into two equal parts.
bisector
If 📐POF + 📐FOB = 90 then POF is ——— to FOB
complementary (complementary angles are two angles, whose measures have a sum of 90. A is called the complement of B. one and two are nonadjacent, but they are complementary because the sum of their measures is 90.
——— triangles are triangles having the same size and shape.
congruent. (in geometry figures that are exactly alike are congruent figures. Congrats figures have the same size and shape.)
a line segment, passing through the center of a circle whose endpoints lie on the circle is a ———
diameter
State the properties used in reaching each of the following results: If x/4 = 11, then x = 44
multiplication property (is equal quantities are multiplied by equal quantities the products are equal)
If COF is congruent to DOF, FO is ——— to CD
perpendicular. ( perpendicular lines are lines that intersect and form, right angles. perpendicular lines, form, congruent, adjacent angles.)
a ——— the basic building block of all geometric figures
point
The instrument used to measure the size of an angle is called a ———
protractor
congruent segments
segments with the same length
postulate
self-evident statement
If C is congruent to D and A is congruent to D, then A is congruent to C
substitution property (A quantity may be substituted for its equal, or congruent, quantity)
If x = 2 and y = 5, then xy = 10.
substitution property (A quantity may be substituted for its equal, or congruent, quantity)
——— is vertical to 📐 EOD
📐COF ( when two lines intersect, four angles are formed. The two pairs of not nonadjacent angles formed by two intersecting lines are called vertical angles.) CD & EF are lines that intersect.
If the measure of BOC is 150 then the measure of AOC is?
30°. this is because BOC and AOC are supplementary so their sum is 180 and they create a straight line
if EGH is congruent to DOB & HGO is 128. what is the measure of DOB?
52. ( supplementary angles are two angles, whose measures have a sum of 180)
If The measure of EOA is 67 and the measure of DOB is 29, the measure of EOD is?
84. This is because all three of these angles make 180°
an obtuse angle must have a measure greater than ——— and less than ———
90°, 180°
If the measure of COP is 72 and the measure of POF is 31 then the measure of EOD is?
103° (postulate 12 - vertical angles are congruent. add COP and POF and you get COF which is vertical to EOD. therefore, they have the same measure.)
If the measure of EOA is 37 in the measure of FOA is?
143°. this is because EOA and FOA are supplementary so their sum is 180 and they create a straight line
If 1 is congruent to 2 and 3 is congruent to 4, then ADC is congruent to AOE
ASA postulate (if two angles and the included side of one triangle are congruent to two angles, and the included side of another triangle, the triangles are congruent)
If C is the midpoint of AD and AD is perpendicular to ED and AD is perpendicular to AB, then ACB is congruent to DCE
ASA postulate (if two angles and the included side of one triangle are congruent to two angles, and the included side of another triangle, the triangles are congruent)
If CD bisects C and AB is perpendicular to CD, then ADC is congruent to BDC
ASA postulate (if two angles and the included side of one triangle are congruent to two angles, and the included side of another triangle, the triangles are congruent)
Choose the postulate (SSS, SAS, ASA) If AB is congruent to CB and 1 is congruent to 2, then ABD is congruent to CBD
SAS postulate (if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.)
If DO is congruent to EO and CO is congruent to AO, then COD is congruent to AOE
SAS postulate (if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.)
If x + 11 = 20 then x=9
Subtraction property (if equal quantities are subtracted from equal quantities the differences are equal)
If the measure of AOD plus DOB is 180, then the AOD is ——— to DOB
Supplementary. ( supplementary angles are two angles, whose measures have a sum of 180)
vertex
The common endpoint of the two rays that form an angle
scalene triangle
The measure of all its sides are unequal
——— angles are two nonadjacent angles formed by two intersecting lines.
Vertical (when two lines Intersect, four angles are formed. The two pairs of nonadjacent angles formed by two intersecting lines are called vertical angles.)
Postulate 12
Vertical angles are congruent