Extra Practice for Unit 3 Test (PP)

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ΔCAT = ΔDOG
C
G
7
40˚
9
A
T
Find the measure of angle C
45˚
O
95˚
45˚
D
5
Why are the triangles congruent?
ASA
The perimeter of ΔHAT is 110. HA = x + 5, AT
= 2x – 25, and HT 40. Is ΔHAT scalene,
isosceles, or equilateral?
x + 5 + 2x – 25 + 40 = 110
3x + 20 = 110
3x = 90
x = 30
The sides are 40, 35 and 35,
so isosceles.
Find the measure of angle 1 and
angle 2. Rays AC and AD trisect
A
angle BAE.
6˚
B
Angle 1 = 93˚
Angle 2 = 81˚
2
1
C
D
E
Always, Sometimes, or Never?
An altitude of a triangle is perpendicular
to the side to which it is drawn.
Always
ΔMLK = ΔCOW
M
12
O
15
W
3x + 3
30˚
50˚
100˚
L
18
Find the value of x.
K
C
3x + 3 = 18
3x = 15
x=5
Always, Sometimes, or Never?
A right triangle is obtuse.
Never
Always, Sometimes, or Never?
An obtuse triangle is isosceles
Sometimes
Always, Sometimes, or Never?
An equilateral triangle is right.
Never
The perimeter of ΔAND is 69. AN = 23, ND =
3x + 2 and DA = 5x - 12 Is ΔAND scalene,
isosceles, or equilateral?
23 + 3x + 2 + 5x – 12 = 69
8x +13 = 69
8x = 56
x=7
The sides are 23, 23, and 23
so equilateral.
Always, Sometimes, or Never?
An altitude of a triangle bisects the side
to which it is drawn.
Sometimes
ΔMLK = ΔCOW
M
12
O
15
W
3x + 3
30˚
50˚
100˚
L
18
K
Find the measure of angle L.
C
50˚
Always, Sometimes, or Never?
A median of a triangle is outside the
triangle.
Never
Always, Sometimes, or Never?
An altitude of a triangle is outside the
triangle.
Sometimes
Always, Sometimes, or Never?
The base angles of an isosceles triangle
are larger than the vertex angle.
Sometimes
Find the measure of angle 1 and
angle 2. Rays AC and AD trisect
A
angle BAE.
12˚
B
Angle 1 = 96˚
Angle 2 = 72˚
2
1
C
D
E
Why are the triangles congruent?
Not congruent
(angle, side, side)
Always, Sometimes, or Never?
2 triangles are congruent if 3 pairs of
corresponding sides are congruent.
Always
Why are the triangles congruent?
Not congruent
(angle, angle, angle)
Always, Sometimes, or Never?
An obtuse triangle is scalene.
Sometimes
Why are the triangles congruent?
A
D
ΔABC & ΔDCB
B
C
SAS
Always, Sometimes, or Never?
2 right triangles are congruent if their
hypotenuses and a pair of acute angles
are congruent.
Always
Why are the triangles congruent?
SAS
Always, Sometimes, or Never?
2 triangles are congruent if 2 pairs of
corresponding sides, and a pair of nonincluded angles are congruent.
Sometimes
Find the measure of angle 1 and
angle 2. Rays AC and AD trisect
A
angle BAE.
20˚
B
Angle 1 = 80˚
Angle 2 = 60˚
2
1
C
D
E
Always, Sometimes, or Never?
A right triangle is acute.
Never
The perimeter of ΔBUG is 36. BU = 12, BG =
2x + 2, and UG = 3x – 3. Is ΔBUG scalene,
isosceles, or equilateral?
12 + 2x + 2 + 3x – 3 = 36
5x + 11 = 36
5x = 25
x=5
The sides are 12, 12, and
12, so equilateral
Always, Sometimes, or Never?
An equilateral triangle is
acute.
Always
ΔCAT = ΔDOG
C
G
7
40˚
9
A
Find the value of x.
T
95˚
45˚
D
2x + 1 = 5
2x = 4
x=2
O
5

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