Download Geometry PAP Fall Final Review, Part 2

Geometry PAP Fall Final Review, Part 2
True/False
1.
If two sides and a non-included angle of one triangle are congruent to two sides and a nonincluded angle of another triangle, then the triangles are congruent.
2.
Given two angles and an included side, you can construct exactly one triangle.
3.
A triangle with side lengths of 17, 63, and 65 would be obtuse.
4.
All the points on a perpendicular bisector of a segment are equidistant to the endpoints of the
segment.
5.
It is possible to create a triangle with side lengths 12 cm, 7 cm, and 5 cm.
6.
If a conditional statement is true, then its contrapositive is also true.
7.
A diagonal of a square divides it into two equilateral triangles.
8.
The altitude of an equilateral triangle is half a side length times the square root of 3.
9.
An angle bisector of a triangle divides the opposite side into two segments that are proportional
to the sides of the angle being bisected.
10.
An exterior angle of a triangle is supplementary to the two remote interior angles.
Fill in the Blank
11.
A pentagon has ___________ diagonals. An n-gon has __________ diagonals.
12.
If one of the base angles of an isosceles triangle has measure 40 degrees, then the vertex angle
has measure _________.
13.
In triangle ABC, if the measure of angle A is 50 degrees, and the measure of angle B is 72
degrees and the measure of angle C is 58 degrees, then ________ is the longest side.
14.
Consider the statement: “If Alabama beats Notre Dame, they will be the national champions.”
Write the converse, inverse and contrapositive. Which, if any, would be true?
15.
Given the following figure:
D
Name all of the triangles with the given description:
16.
a)
scalene
b)
isosceles
c)
acute
d)
obtuse
e)
equilateral
G
E
F
The figure below was constructed such that line AB is parallel to line DE and C is the midpoint
of segment AE. Are the two triangles created congruent? If so, name the congruent triangles
and tell the reason they are congruent.
B
E
C
A
D
17.
Find the midpoint of the segment with endpoints (-1,-6) and (-15,8).
18.
Find the value of y in terms of x:
y
x+15
22
19.
(3,-5) is the center of a circle. If (7,3) is one endpoint of a diameter, what are the coordinates of
the other endpoint?
20.
If 2x and 3x are the two acute angles of a right triangle, what is the actual measurement of the
angles?
21.
Write a definition of:
Supplementary angles –
Linear pair –
Skew lines –
Diagonal of a polygon –
22.
If triangle RPQ is congruent to triangle JKL, then segment LJ is congruent to __________.
23.
If angle IJK is congruent to angle FHP, which, if any, lines must be parallel?
K
I
J
L
M N
G
H
P
F
Q
24.
Given points H(-1,5) and K(7,1), find HK.
O