Geometry
Jeff is building a bookcase for his room.....(PICTURE)
<2 and <4
What is a relationship between <1 and <2? (PICTURE)
they are alternate interior angles
What is the perimeter of ABC, in units?
37
Isosceles triangle RMG is shown below (PICTURE) what is the value of x?
x = 44
Which set of numbers may represent the lengths of the sides of a right triangle?
{5, 12, 13}
Quadrilateral ABCD has vertices located a A (2,4) B(6,-4) and C(1,-6) as shown below (GRID)
(-3,2)
The hypotenuse of a right triangle measures 15 inches, and one leg measures 5 inches. The length of the other leg is -
10\2 inches
What congruence s needed tot determine the incenter of a triangle?
Angle Bisectors
What information is needed to prove JGR = KGS under AAS congruence :
That JS and KR are altitudes
Segment PM is graphed on the coordinate plane such the point P is located at (2,-5). Point A is graphed exactly 1/4 of the distance from P to M and is located at (4,-1). What is the value of the y coordinate of pint M?
11
A polygon has been drawn below with its sides extended to show both its interior and exterior angles...(PICTURE)
180n
In a certain triangle, x, y, and z, represent side lengths. If x = 7 and z = 5, what must be true about y?
2 < y < 12
Which of the following sets of numbers could represent sides of a triangle?
2, 4, 4
A contractor is pouring a rectangular concrete slab with dimensions of 16 feet by 30 feet. To ensure that the sides of the slab form 90 degree angles, what should each diagonal measure?
34 ft
The table below illustrate a relationship between regular polygons of n sides and the measure of an exterior angle. Which expression best represents this relationship?
360/N
Which of the following best expresses this relationship? (TABLE EXTERIOR ANGLE)
360/n
What is the area of quadrilateral MNQP in square units?
48 squares
In the accompanying diagram, ABC and ADC are isosceles triangles with AB = BC and AD = DC. Which statement must be true?
<1 = <4
Concrete workers are busy preparing to pour a rectangular patio on the rear of David's new house. The workers have laid out, using boards, what appears to be a rectangle to frame where the cement will go. What could the workers do to ensure that the patio is really rectangular before pouring the cement ?
Determine if the diagonals are congruent
Carl drew and acute angle.....
He discovered that points on the angle bisector are equidistant from the sides of the angle
Which theorems cannot be used to prove two lines are parallel?
If two lines re cut by a transversal so that a par of vertical angles are congruent, then the lines are parallel
In the accompanying diagram of ABC, AB = 4x - 3 centimeters, BC = 2x + 7 centimeters, AC = 5x - 1 centimeters, and the perimeter of ABC is 58 centimeters. (PICTURE)
Isosceles
The diagram below shows the arcs and segments used to construct AP, given ABC. Based of this construction, which statement is not necessarily true?
RB = QC
The logo ornament for a new car is displayed in Quadrant II of the coordinate grid. After company review, they discovered the logo ornament should appear as displayed in Quadrant IV of the coordinate grid. Which sequence of transformations bests describes how the car company corrected the display of the new logo ornament?
The car logo was rotated abut the origin and then translated 1 unit up
Triangle QRS and triangle FGH are shown below. Based on the pair of triangles, which statement is a reasonable conclusion?
Two triangles are not always congruent if two pairs of corresponding sides and a pair on non-included angles are congruent in both triangles
Alice made the conjecture below. Which values of a and b are not counterexamples to the conjecture ?
a = 0, b = 1
Garrett makes and inductive conjecture from this list. Which of the following could be Garrett's conjecture?
each pythagorean triple had the form a2 + b2 = c2
Which of the following theorems cannot be used to prove two lines are cut by a transversal?
if two lines re cut so that a pair of vertical angles are congruent, then the lines is a transversal
If the three angles of a triangle are represented by (x+30), (4x+30), and (10x-30), the triangle must be -
isosceles
Consider a quadrilateral and its diagonals. Which conjecture below would best describe a quadrilateral whose diagonals divide it into four isosceles triagonals?
it is a rectangle
On a coordinate grid, line m passes through the points (3,2) and (3,0). Line l contains the point (6,14) and (-2,14). (GRID)
line m is perpendicular to line l
Which of the following best expresses this relationship? (TABLE INTERIOR ANGLE)
m = a/n
Line segment RS sown on the coordinate grid below. (GRID)
parallel and congruent
Segment QR is mid segment of triangle DEF. (PICTURE) If FD = 82 inches and RE = 36 inches, which statement is not true?
the perimeter of trapezoid DERQ is 117 inches
The sum of the exterior angles of any given pylon is always equal to __________?
the sum of the interior angle of a rectangle
Three isosceles triangles are shown below. (PICTURE) Which of the following conjectures is not supported by the figures
the vertex angle is always acute