# Interactive video lesson plan for: January 2015 Geometry Regents Pt II 6 10

#### Activity overview:

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1 What is the solution of the system of equations graphed below?What are the coordinates of the midpoint of the line segment with
endpoints (2,5) and (8,3)?
(1) (3,4) (3) (5,4)
(2) (3,1) (4) (5,1)
As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon ABCDEF Under this transformation, which property is not preserved?
(1) area (3) orientation
(2) distance (4) angle measure
4 In 4 In the diagram of ABC below,
___
BD is drawn to side
___
AC. If m∠A 35, m∠ABD 25, and m∠C 60, which type of triangle
is BCD?
(1) equilateral (3) obtuse
(2) scalene (4) right In the diagram below of rhombus ABCD, the diagonals If AC 18 and BD 24, what is the length of one side of rhombus
ABCD?
(1) 15 (3) 24
(2) 18 (4) 30
6 What are the truth values of the statement “Opposite angles of a
trapezoid are always congruent” and its negation?
(1) The statement is true and its negation is true.
(2) The statement is true and its negation is false.
(3) The statement is false and its negation is true.
(4) The statement is false and its negation is false.What is the length of a line segment whose endpoints have
coordinates (5,3) and (1,6)?In the diagram below of isosceles ABC, the measure of vertex angle B is 80°. If
___
AC extends to point D, what is m∠BCD? A student used a compass and a straightedge to construct CE
___
in
ABC as shown below. Which statement must always be true for this construction?
(1) ∠CEA ∠CEB (3) AE
___
BE
___
(2) ∠ACE ∠BCE (4) EC
___
AC
___
10 In ABC, AB 4, BC 7, and AC 10. Which statement is true?
(1) m∠B m∠C m∠A (3) m∠C m∠B m∠A
(2) m∠B m∠A m∠C (4) m∠C m∠A m∠B A circle whose center has coordinates (3,4) passes through the
origin. What is the equation of the circle?
(1) (x +3)2 (y 4)2 5
(2) (x +3)2 (y 4)2 25
(3) (x -3)2 (y 4)2 5
(4) (x -3)2 (y 4)2 25 Point W is located in plane R . How many distinct lines passing
through point W are perpendicular to plane R ?
(1) one (3) zero
(2) two (4) infinite In the diagram below, line is parallel to line m, and line w is a
transversal. If m∠2 3x 17 and m∠3 5x 21, what is m∠1?
(1) 19 (3) 74
(2) 23 (4) 86 The diagram below is a graph of circle O.In isosceles trapezoid QRST shown below, QR
___
and TS
___
are bases.
If m∠Q 5x 3 and m∠R 7x 15, what is m∠Q?
(1) 83 (3) 16
(2) 48 (4) 9
T S
Q Are What are the coordinates of the point of intersection of the medians
of ABC?
(1)Given the statement, “If a number has exactly two factors, it is a
prime number,” what is the contrapositive of this statement?
(1) If a number does not have exactly two factors, then it is not a
prime number.
(2) If a number is not a prime number, then it does not have exactly
two factors.
(3) If a number is a prime number, then it has exactly two factors.
(4) A number is a prime number if it has exactly two factors.Which graph represents a circle whose equation is
(x 2)2 (y 4)2 4?If two sides of a triangle have lengths of 4 and 10, the third side
could be
(1) 8 (3) 16
(2) 2 (4) 4The lines represented by the equations 4x 6y 6 and computations.
y 2 __
3 x 1 are
(1) parallel
(2) the same line
(3) perpendicular
(4) intersecting, but not perpendicularIn the diagram below of ABC, DE
___
|| AB Parallelogram ABCD with diagonals AC
___
and BD
___
intersecting at E is
shown below. Which statement must be true?
(1) BE
___
CE
___
(3) AB
___
BC
___
(2) ∠BAE ∠DCE (4) ∠DAE ∠CBE
23 In the diagram below of circle O, m∠ABC 24.
What is m∠AOC?
(1) 12 (3) 48
(2) 24 (4) 60
24 Triangle ABC is the image of ABC after a dilation of 2.
Which statement is true?
(1) AB AB (3) m∠B m∠B
(2) BC 2(BC) (4) m∠A 1 __
2 (m∠A)
A
B
C Triangle ABC is the image of ABC after a dilation of 2.
Which statement is true?
(1) AB AB (3) m∠B m∠B
(2) BC 2(BC) (4) m∠A 1 __
2 (m∠A) In the diagram of the circle below, AD computations.
___
|| BC
___
, (5x 30)°, and
(9x 10)°. The bases of a prism are right trapezoids, as shown in the diagram
below.
Which In the diagram below, computations.
__
AB
__
is the image of AB
___
under which
single transformation? (1) dilation (3) translation
(2) rotation (4) glide reflection
28 For which diagram is the statement ABC ~ADE not always true?

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