What is the definition of collinear points?
A.) Points that lie on the same line
B.) Points that lie on the same plane
C.) A location and has no size
A.) Points that lie on the same line
Turn this sentence into a conditional statement.
"A shape is a triangle when it has three sides"
If a shape has three sides, then it is a triangle.
Solve for x:
x+7=15
x=8
An exterior angle measures 70°.
The two remote interior angles are equal.
Find each angle.
35 each
What are the coordinates of △E'F'G' for the translation {6,-7}.
If: E(1,-3) F(5,-2) G(4,-8)
E'(7,-10) F'(11,-9) G'(10,-15)
What is the definition of a postulate?
A.) A statement that must be proven using evidence
B.) A statement that is assumed to be true
C.) A conclusion drawn from observations
D.)A theory that can be tested through experiments
B.) A statement that is assumed to be true
Turn this sentence into a conditional statement.
"A number that is divisible by 6 is divisible by 3."
If a number is divisible by 6, then it is divisible by 3.
Solve for y:
3y=18
y=6
An exterior angle measures 90°
One remote interior angle measures 35°
Find the other remote interior angle
55
What are the coordinates of △E'F'G' for the translation {-4,3}.
If: E(6,-8) F(10,-1) G(7,6)
E'(2,-5) F'(6,2) G'(3,9)
Which statement best defines a transversal?
A.) A line that intersects coplanar lines at distinct points
B.) A line that connects two points
C.) A pair of parallel lines
D.) A line segment with endpoints
A.) A line that intersects coplanar lines at distinct points
Turn this sentence into a conditional statement.
"All squares have four equal sides."
If a shape is a square, then it has four equal sides.
Solve for x:
2x+5=17
x=6
An exterior angle measures 115°.
One remote interior angle measures 48°.
Find the missing angle.
67
What are the coordinates of △E'F'G' for the translation {12,8}.
If: E(13,-6) F(21,-4) G(6,-9)
E'(25,2) F'(33,4) G'(18,-1)
What is the definition of converse?
A.) A statement that proves a theorem
B.) A statement that keeps the original order of a conditional
C.) A statement that reverses the hypothesis and conclusion of a conditional
D.) A statement that adds extra information
C.) A statement reverses the hypothesis and conclusion of a conditional.
Turn this sentence into a conditional statement.
"A triangle with two equal sides cannot have three equal angles"
If a triangle has two congruent sides, then it does not have three congruent angles.
Solve for n:
4n-6=10
n=4
An exterior angle of a triangle measures 110°.
One of the other two interior angles measures 42°.
What is the measure of the other interior angle?
68
What are the coordinates of △E'F'G' for the translation {27,-34}.
If: E(46,18) F(16,-10) G(5,7)
E'(73,-16) F'(43,-44) G'(32,-27)
Which statement best describes point symmetry?
A. A type of symmetry in which a figure maps onto itself after a reflection
B. A type of symmetry in which a figure maps onto itself after a rotation of less than 180°
C. A type of symmetry in which a figure maps onto itself after a rotation of 180°
D. A type of symmetry in which a figure maps onto itself after two reflections
C. A type of symmetry in which a figure maps onto itself after a rotation of 180°
Turn this sentence into a conditional statement.
"Perpendicular lines cannot intersect at an angle other than a right angle"
If two lines are perpendicular, then they intersect at a right angle.
18/3+x=10
x=4
One interior angle of a triangle is adjacent to an exterior angle measuring 130°.
What is the sum of the two remote interior angles?
130
What are the coordinates of △E'F'G' for the translation {-57,60}.
If: E(164,38) F(15,83) G(53,100)
E'(107,98) F'(-42,143) G'(-4,160)
Which statement best the defines a glide reflection?
A. The composition of a translation followed by a reflection across any line
B. The composition of a reflection followed by a translation in a direction parallel to the line of reflection
C. The composition of two reflections across intersecting lines
D. The composition of a reflection followed by a translation in a perpendicular direction
B. The composition of a reflection followed by a translation in a direction parallel to the line of reflection
Turn this sentence into a conditional statement.
"Vertical angles are always equal"
If two angles are vertical angles, then they are congruent.
Two parallel lines are cut by a transversal. Corresponding angles are congruent. One angle measures 3x+5 and its corresponding angle measures 80 degrees.
x=25
One remote interior angle is twice the other.
The exterior angle measures 108°.
Find the measures of the two remote interior angles.
36° and 72°
What are the coordinates of △E'F'G' for the translation {132,235}.
If: E(67,157) F(46,73) G(213,96)
E'(199,392) F'(178,308) G'(345,331)