Geometry Exam yes/no random written questions
SOMETIMES (when it is a square)
ALWAYS, SOMETIMES OR NEVER: All angles of a parallelogram are congruent.
NEVER
ALWAYS, SOMETIMES OR NEVER: A square is not a rhombus.
ALWAYS
ALWAYS, SOMETIMES OR NEVER: The opposite sides of a rectangle are congruent
Always
Always, Sometimes OR Never: Diagonals of a square are congruent.
Sometimes
Always, Sometimes, or Never: The diagonals of a trapezoid are congruent
Incorrect
Correct or incorrect: A hexagon is never concave.
Correct
Correct or incorrect: A right triangle can never be equilateral
No, because of the Triangle Inequality Theorem - The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 6 + 4 = 10 and is not greater than 10
Determine whether it is possible to draw a triangle with sides 6 cm, 10 cm and 4 cm. Write yes or no
Consecutive interior angles theorem says consecutive interior angles are supplementary. (12x-11) + (4x-1) = 180 16x - 12 = 180 16x = 192 x = 12
Find the value of x so that p || q. Name the theorem or postulate you used.
The conjecture is TRUE
Given: <ABD and <CBD are adjacent angles. BC and BA are opposite rays Conjecture: <ABD and <CBD are supplementary
Solve for x by setting angles equal to each other 4x+15 = 6x-5 -4x . -4x 20=2x x=10 measure of BCD = 4x + 15 or 4*10 +15 40+15 =55 degrees
If CD is an angle bisector of angle BCF, find the m < BCD given m< BCD = 4x+14 and m< DCF = 6x-5
Altitudes are perpendicular to the base so the measure of the angle is = 90 degrees 5x-10 =90 5x = 100 x = 20
If RU is an altitude for triangle RST, find the value of x
180(n-2) divided by n = 144 (180n - 360)/n = 144 180n- 360 = 144n 36n=360 n=10 sides
If an interior angle of a regular convex polygon measures 144 degrees, how many sides does the polygon have?
SUBSTITUTION
If m<A + m<B = 180 and m<A = 110, then 110 + m<B = 180. What property is this?
2x-7=17 2x=24 x=12
In an isosceles triangle, solve for x: one side is 2x-7, the other side is 17
DE, GE, DG
List the sides of triangle DEG in order from shortest to longest
A, D E
Name 3 collinear points . <__A.____D._____.E____>
ST
Name a segment skew to WY
DF
Name the longest side of triangle DGF
Definition of Complementary Angles
State the definition, property, postulate or theorem that justifies each statement: m<A + m<B = 90 and m<B = 20 then M<A + 20 = 30
segment addition postulate
State the definition, property, postulate or theorem that justifies each statement: AB + BC = AC
180(n-2) divided by n 180(8-2) / 8 1080/8 = 135 each
The measure of ONE or EACH interior angle of an octagon
360/8 = 45 degrees each
The measure of one exterior angle of an octagon
360 degrees
The sum of the measure of all exterior angles of a regular polygon
180(n-2) 180(8-2) = 180*6= 1080 degrees
The sum of the measure of all interior angles of an octagon
TRUE
True or False: A right triangle can be scalene
false
True or false: An isosceles triangle is never obtuse.
<CBA
What is another name for <ABC
AE
What is another name for line EA?
Angle-Angle-Side (AAS)
What is this theorem such that each triangle is congruent?
Angle-Side-Angle (ASA)
What is this theorem such that each triangle is congruent?
acute
What type of angle is <DCF
centroid
Which is the point of concurrency of the medians
If it is a dog, it has four feet. The hypothesis is the "if" part and the conclusion is the "it" part.
Write a conditional statement in if-=then form. Identify the hypothesis and conclusion. All dogs have four feet.
always
always, sometimes, or never: Base angles of an isosceles trapezoid are congruent
sometimes (when it is a square)
always, sometimes, or never: opposite angles of a rhombus are supplementary and congruent
sometimes (when it is a square or rhombus)
always, sometimes, or never: the diagonals of a parallelogram are perpendicular
m<1 = 110 (it is a linear pair with 70 degree angle) m<2 = 70 (consecutive angles) m<3 = 30 (angle 2 is 70 and the other angle in the triangle is 80, 80+70=150; 180-150 =30
look at this figure. Find the measures of angles <1,< 2 and <3
