AnswersCA-Common Core Geometry DVHS Sem. 2Triangle Congruence: SSS and HL

Triangle Congruence: SSS and HL Answers

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Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options.

A
Point P is the midpoint of MK.
B
Line MK is the perpendicular bisector of LN.
C
ML ≅ MP
D
ML ≅ MN
E
PK ≅ PK
2
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Which shows two triangles that are congruent by the SSS congruence theorem?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

The triangles shown are congruent by the SSS congruence theorem.

Question illustration
A
rotation, then reflection, then translation
B
rotation, then translation, then reflection
C
translation, then reflection, then rotation
D
translation, then rotation, then reflection
4

Which transformation(s) can be used to map one triangle onto the other? Select two options.

A
reflection only
B
translation only
C
dilation, then translation
D
rotation, then translation
E
rotation then dilation
5

Triangle ABC is congruent to A'BC' by the HL theorem.

Question illustration
d
dilation
r
reflection
r
rotation
t
translation
6

The triangles are congruent by SSS or HL.

Question illustration
t
translation only
r
rotation only
r
rotation, then reflection
r
reflection, then translation
7

The triangles are congruent by the SSS congruence theorem.

Question illustration
r
reflection, then dilation
r
reflection, then translation
r
rotation, then translation
r
rotation, then reflection
8

The triangles are congruent by SSS or HL.

Question illustration
r
rotation, then reflection, then translation
r
rotation, then translation, then reflection
r
reflection, then translation, then rotation
r
reflection, then rotation, then translation
9

Question text not available

Question illustration
2
2
3
3
4
4
7
7
10

Triangles S U V and R U W are connected at point U. Angles S U V and W U T are right angles. The length of hypotenuse S V is 2 x + 9 and the length of hypotenuse W T is 4 x minus 1. Sides V U and U W are congruent.

Question illustration
A
2
B
3
C
4
D
5
11

The triangles are congruent by SSS or HL.

Question illustration
t
translation only
r
reflection only
r
rotation, then reflection
r
rotation, then translation
12

Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.

Question illustration
T
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
T
They are congruent because opposite sides of a parallelogram are congruent.
T
They are not congruent because only one pair of corresponding sides is congruent.
T
They are not congruent because only two pairs of corresponding sides are congruent.
13

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
rotation only
B
reflection only
C
translation, then rotation
D
translation, then reflection
14

Which shows two triangles that are congruent by the SSS congruence theorem?

A
Triangles A B C and D E C are connected at point C. Angles A B C and C E D are right angles. The lengths of sides A B and E D are congruent.
Option A
B
Triangles A B C and D E C are connected at point C. The lengths of sides A B and D E are congruent. The lengths of sides B C and C D are congruent.
Option B
C
Triangles A B C and D E C are connected at point C. The lengths of sides A C and C E are congruent. Angles B A C and C E D are congruent.
Option C
D
Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent. The lengths of B C and D C are congruent.
Option D
15

The triangles shown are congruent by the SSS congruence theorem.

Question illustration
A
rotation, then reflection, then translation
B
rotation, then translation, then reflection
C
translation, then reflection, then rotation
D
translation, then rotation, then reflection
16

Triangle ABC is congruent to A'BC' by the HL theorem.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
17

The triangles are congruent by SSS or HL.

Question illustration
A
rotation, then reflection, then translation
B
rotation, then translation, then reflection
C
reflection, then translation, then rotation
D
reflection, then rotation, then translation
18

Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.

Question illustration
A
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
B
They are congruent because opposite sides of a parallelogram are congruent.
C
They are not congruent because only one pair of corresponding sides is congruent.
D
They are not congruent because only two pairs of corresponding sides are congruent.
19

The triangles are congruent by SSS or HL.

Question illustration
A
translation only
B
rotation only
C
rotation, then reflection
D
reflection, then translation
20

Point H is the midpoint of side FK.

Question illustration
A
1
B
3
C
6
D
8

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