Chapter 5

Question 1

Corresponding parts

Answer 1

corresponding angles and sides from different shapes compared with one another that match

Question 2

congruent (figures)

Answer 2

if all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent.

Question 3

Postulate 12 “side side side congruence postulate”

Answer 3

If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent

Question 4

Postulate 13 “side angle side congruence postulate”

Answer 4

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

Question 5

Proof

Answer 5

a convincing argument that shows why a statement is true.

Question 6

how to write a proof

Answer 6

list the given information first
use information from the diagram
give a reason for every statement
use given information, definitions, postulates, and theorems as reasons
list statements in order.
end the proof with the statement you are trying to prove

Question 7

Postulate 14 “angle side angle congruence postulate”

Answer 7

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent

Question 8

Theorem 5.1 “angle angle side congruence theorem”

Answer 8

If two angles and a non included side of one triangle are congruent to two angles and the corresponding non included side of a second triangle, then the two triangles are congruent

Question 9

Theorem 5.2 “hypotenuse leg congruence theorem”

Answer 9

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.

Question 10

distance from a point to a line

Answer 10

measured by the length of the perpendicular segment from the point to the line

Question 11

equidistant

Answer 11

when a point is the same distance from one line as it is from another line

Question 12

Theorem 5.3 “angle bisector theorem”

Answer 12

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle

Question 13

Theorem 5.4 “perpendicular bisector theorem”

Answer 13

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoint of the segment

Question 14

perpendicular bisector

Answer 14

a segment, ray or line that is perpendicular to a segment at its midpoint

Question 15

Reflection

Answer 15

a transformation that creates a mirror image

the original figure is reflected in a line that is called the line of reflection

Question 16

Properties of reflections

Answer 16

the reflected image is congruent to the original figure
the orientation of the reflected image is reversed
the line of reflection is the perpendicular bisector of the segments joining the corresponding points

Question 17

line of symmetry

Answer 17

a figure in the plane has a line of symmetry if the figure can be reflected onto itself by a reflection in the line