Download Chapter 10 Practice Test

Chapter 10 Extra Practice Answer Key
Get Ready
1. a) isosceles b) equilateral c) scalene
2. a) isosceles, right b) equilateral, acute c) scalene, obtuse
3. Answers may vary. a) opposite sides parallel, opposite angles equal b) one pair
opposite parallel lines, two pairs of supplementary angles c) four congruent sides,
perpendicular diagonals d) opposite sides equal, four right angles
4. a) 2 b) 1 c) 2 d) 2
5.
a)
e)
c)
O
b)
P
N
d)
10.1 Angle Relationships
1. a) x = 22º, y = 68º, z = 22º b) p = 30º, q = 120º, r = 30º, s = 150º c) a = 120º, b = 60º,
c = 120º, d = 120º
2. Regular pentagon.
3. a) x = 160º b) x = 113º c) x = 39º
4. a) a = 110º, b = 70º, c = 140º, d = 40º b) Yes. Explanations may vary.
10.2 Transformations
1. B: 4 units up; C: 2 units right and 3 units down; D: 5 units left and 2 units up.
2. Answers may vary. 180º rotation about point 1 unit down and 1 unit right from bottom
right corner.
3. Answers may vary. 90º clockwise rotation about A, then a reflection in horizontal line.
4. Answers may vary. Reflection in horizontal line 1 unit below polygon, then reflection
in vertical line 1 unit to the right of polygon.
5. a), b) Answers may vary. c) Yes. Explanations may vary.
6. Not commutative. Explanations may vary.
10.3 Geometric Constructions
1. b) Methods may vary. c) No. The bisector is made in the middle of a line segment, so a
line segment can have only one bisector.
2. b) Methods may vary.
3. c) Both bisect the line, but a perpendicular bisector is always perpendicular to the line
segment and a bisector does not have to be perpendicular to the line segment.
4. Constructions may vary.
Copyright  2007, McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
5.
Tiny Town
school
Small vill e 14 km
10 km
Little Haven
10.4 Identify Triangles and Quadrilaterals
1. a) One pair of opposite sides parallel, one line of symmetry, two pairs of
supplementary angles, no rotational symmetry.
b) Two pairs of congruent adjacent sides, two diagonals that are perpendicular to each
other, one of which is bisected, one line of symmetry, no rotational symmetry.
c) Two pairs of parallel sides, one diagonal divides a parallelogram into two congruent
triangles, no lines of symmetry, rotational symmetry of order two.
d) Four congruent sides, two diagonals that are perpendicular bisectors of each other (but
not congruent), one diagonal divides a rhombus into two congruent isosceles triangles,
two lines of symmetry that meet at right angles, rotational symmetry of order two.
e) Opposite sides congruent and parallel, four right angles, two congruent diagonals, one
diagonal divides a rectangle into two congruent right triangles, two lines of symmetry
that meet at right angles, rotational symmetry of order two.
f) Four congruent sides, four right angles, congruent diagonals that are perpendicular
bisectors of each other, two diagonals divide a square into four congruent isosceles
triangles, four lines of symmetry, rotational symmetry of order four.
g) Three congruent sides, three congruent angles, perpendicular bisectors of sides
intersect at the same point, three lines of symmetry, rotational symmetry of order three.
2. Answers many vary.
a) Quadrilateral with one pair of sides parallel, two pairs of congruent adjacent angles.
b) Two pairs of adjacent congruent sides.
c) Quadrilateral with two pairs of parallel sides.
d) Four congruent sides.
e) Two pairs of opposite congruent sides and one right angle. Or quadrilateral with
diagonals that are congruent and bisectors of each other. Or quadrilateral with two lines
of symmetry that are perpendicular. Or quadrilateral with rotational symmetry of order
two and one right angle. Or quadrilateral with one diagonal that divides the quadrilateral
into two congruent right triangles.
f) Four congruent sides and one right angle. Or quadrilateral with two congruent
diagonals that are perpendicular bisectors of each other.
g) Three sides congruent. Or triangle with two congruent sides and one angle equal to
60º. Or triangle with two angles both equal to 60º. Or triangle with three lines of
symmetry. Or triangle with rotational symmetry of order three.
3. Yes. Examples may vary.
Review
1. a = 81º, b = 54º, c = 90º.
Copyright  2007, McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
2. Answers may vary. a) Translation 4 units down, reflection in vertical line 1 unit right
of figure. b) Reflection in vertical line 1 unit right of figure, 90º counterclockwise
rotation about top vertex.
3. d) Methods may vary.
4. a) The only figure you can construct from a given set of conditions. b) A line segment
that intersects another line segment at the midpoint and is perpendicular to the line
segment.
5. Answers may vary. A triangle with two angles that are not congruent.
Practice Test
1. a) B, b) C, c) A, d) D
2. C
3. A
4. B
5. Answers may vary. A reflection across a mirror line along the top of the shape and a
translation 1 unit up and 4 units right.
6. Answers may vary. a) Four congruent sides and one right angle.
b) Congruent diagonals that are perpendicular bisectors of each other.
7. a = 121º, b = 59º, c = 100º, d = 80º, e = 50º, f = 130º, g = 109º
Copyright  2007, McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.