Download Review 5

Name: ________________________________________
Geometry R Mixed Midterm Review #2
Date: _________________
Period: _______
#1-17: Multiple Choice.
1. ______ If l1 and l2 are two distinct lines each parallel to l3, then l1 and l2
(1) are perpendicular to each other
(2) intersect but are not perpendicular
(3) parallel to each other
(4) are the same line as l3
2. ______ The diagonals of a square intersect at the origin. Which transformation would not map the
square onto itself?
(1) ry-axis
(2) R-270
(3) T3, -3
(4) ry = - x
3. ______ Which transformation does not always preserve distance?
(1) dilation
(2) reflection
(3) translation
(4) rotation
4. ______ Which of the following figures needs to be rotated the least number of degrees to be
carried onto itself? Assume the center of rotation is the center of the figure.
(1) square
(2) isosceles trapezoid
(3) regular octagon
(4) regular hexagon
5. _____In the accompanying diagram,
to prove that ∆
≅∆
?
≅
,
1) AAS≅AAS
2) HL≅HL
3) SSS ≅ SSS
4) SAS≅SAS
6.______In the diagram to the right, ∆
Which statement must be true?
1 ∠ ≅ ∠
≅
3)
≅∆
.
2) ∠ ≅ ∠
4)
≅
7. ______ Which is true of a rectangle?
1)
2)
3)
4)
Its diagonals are congruent and perpendicular.
Its diagonals are congruent and bisect the angles.
Its diagonals are congruent but not perpendicular.
Its diagonals bisect the angles and each other.
,and
. Which statement can be used
2
8. _______ In  ABC, AM  MC . MB is a(n)
1) angle bisector
2) altitude
B
3) base
4) median
C
9. ______ In the diagram below, PQRS is a trapezoid with
what is the length of
?
1) 13
2) 7
3) 4
4) 23
∥
.
A
is the median. If SR = 5 and TU = 9,
10.______ In rhombus ABCD, which of the following is not true?
1)  ABD is isosceles
3)  ADE   DCE
M
A
B
2)  BEC is a right triangle
4)  ADC   BCD
E
D
C
11. ______ Which is true?
1) All rectangles are rhombuses.
3) All parallelograms are rhombuses.
2) All rhombuses are squares.
4) All squares are rectangles.
12. _____ Points A, B and C are collinear with C between A and B. Which statement must be true?
1) AB + BC = AC
2) AC = CB
3) AC + CB = AB
4) AB = AC
13. ______
Line p is parallel to line q. m1  ( x  80) and m2  (3x  20) .
The measure of 1 is
1
p
2
1) 30

2) 50

3) 130

4) 110

q
3
14. ______ If two angles form a linear pair, they must be
1) congruent
2) supplementary
3) complementary
4) vertical
15. ______ In isosceles trapezoid ABCD, AB is parallel to DC . Which statement is not true?
1) A  B
2) mA  mD  180
3) D  C
4) A  C
A
B
C
D
16. _____ Which statement is true?
1)
2)
3)
4)
A triangle may have more than one obtuse angle.
A triangle may have more than one right angle.
A triangle may have more than one acute angle
A triangle may have an obtuse angle and a right angle.
17. ______
Which of the following is NOT a method for proving that a quadrilateral is a parallelogram?
1) Prove both pairs of opposite sides are parallel.
2) Prove the diagonals bisect each other.
3) Prove one pair of sides parallel and the other pair of sides congruent.
4) Prove both pairs of opposite sides are congruent.
#18- 27: Short Answer. Show all work.
18. a) ______________In ∆
, ∠
the three angles
°,
∠
b)_______________ What type of triangle is ∆
8
?
40 °,and
∠
2 °. Find the measures of
4
19. Using any method, use construction tools to construct a line parallel to the given line m through the given
point P.
P.
m
List the steps:
20.______ In the diagram below, ∆
what is ∠ ?
is isosceles with LO=MO. If
∠
55° and
∠
28°,
5
21._____ In the diagram provided, lines n and m are cut by transversals p and q. What value of x would make
lines n and m parallel?
22.______  ABC is isosceles. Vertex angle A measures 40  . The bisectors of angles B and C
intersect at D. What is the measure of  BDC?
23. _______ In the accompanying diagram,  ABC is shown with AC
extended through point D. If the measure of  BCD = 6x - 20,
the measure of  BAC = 2x and the measure of
 ABC = 3x, find the value of x.
B
A
C
24. ________ In the figure below, QR bisects  PQS. If m  SQT = 20  and m  R = 45  , find
the measure of  T.
D
6
25. _______In parallelogram ABCD, AB = 4x – 8, BC = 2x+ 10, and DC = 3x + 13.
Find the length of BC .
D
Directions: ΔCAT has vertices C (-1, -1), A (5, -2), and T (1, -4).
Graph ΔCAT and its image in the given line.
26.
x = -2
27.
y=3
28. Quadrilateral CORV has vertices C (3, 0), O (7, 2), R (10, -3), and V (3, -5).
Graph CORV and its image C’O’R’V’ in the line y = x.
A
B
C
7
29. Graph ΔPQR has vertices P (-3, -2), Q (-7, -4), R (-6, 0), and
Graph ΔPQR and its image after a rotation 90⁰ about the
origin, clockwise.
30.
31.
ΔTUG has vertices T (-2, 6), U (1, 9) and G (3, 5)
Graph ΔTUG and its image along the vector <5, -2>
Triangle PQR has coordinates P (-4, -6), Q(2, -6), and R(4, -2). Graph
and state the coordinates of ∆ ′′ ′′ ′′, the image of ∆
under the
composition:
T 1,3   y 0  D1
2