AnswersGeometryTriangle Congruence: SAS

Triangle Congruence: SAS — Quiz Answers

28 verified answers1 views
1
Free Preview

Two rigid transformations are used to map triangle HJK to triangle LMN The first is a translation of vertex cap h to vertex cap l What is the second transformation?

A
a reflection across the line containing line segment HK
B
a rotation about point cap k
C
a reflection across the line containing line segment HJ
D
a rotation about point cap h
2
Free Preview

Which of these triangle pairs can be mapped to each other using a single translation?

A
Image with description Triangles C E D and M P N are congruent. Triangle C E D is shifted to the right to form triangle M P N.
B
Image with description Triangles C E D and M P D are congruent. Triangle M P D is rotated and shifted up to form triangle C E D.
C
Image with description Triangles C N E and C D E are congruent. Triangle C N E is reflected across a line and then rotated slightly to form triangle C D E.
D
Image with description Triangles C E D and C N P are congruent. Triangle C E D is rotated about point C and then reflected across a line to form triangle C N P.
3

Which of these triangle pairs can be mapped to each other using a single reflection?

A
Image with description Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.
B
Image with description Triangles F E G and F L G are congruent. Triangle F E G is reflected across line F G to form triangle F L G.
C
Image with description Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.
D
Image with description Triangles F E G and M L N are congruent. Triangle F E G is shifted down and to the right to form triangle M L N.
4

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about cap c ?

A
Image with description 2 right triangles, X Y C and A B C, with right angles at Y, and B, respectively, are shown. Side X Y is congruent to side A B. Side Y C is congruent to side B C. Both the triangles share a common point, C. Triangle A B C is slightly lower than triangle X Y C.
B
Image with description 2 right triangles, X Y Z, and A B C, with right angles at Y and B, respectively, are shown. Side X Y is congruent to side A B. Side Y Z is congruent to side B C. Angle X Y Z is congruent to angle A B C. Triangle X Y Z is reflected across a line to form triangle A B C.
C
Image with description 2 right triangles, X Y Z, and A B C, with right angles at Y and B, respectively, are shown. Side X Y is congruent to side A B. Side Y Z is congruent to side B C. Angle X Y Z is congruent to angle A B C. Triangle X Y Z is reflected across a line to form triangle A B C.
D
Image with description 2 right triangles, X Y Z, and A B C, with right angles at Y and B, respectively, are shown. Side X Y is congruent to side A B. Side Y Z is congruent to side B C. Angle X Y Z is congruent to angle A B C.
5

How can a translation and a rotation be used to map triangle HJK to triangle LMN ?

A
Translate cap k to cap m and rotate about cap k until line segment HK lies on the line containing line segment LM .
B
Translate cap k to cap n and rotate about cap k until line segment HK lies on the line containing line segment LN .
C
Translate cap h to cap n and rotate about cap h until line segment HK lies on the line containing line segment LN .
D
Translate cap h to cap l and rotate about cap h until line segment HK lies on the line containing line segment LM .
6

Which rigid transformation would map triangle AQR to triangle AKP ?

A
a reflection across the line containing line segment AQ
B
a rotation about point cap r
C
a reflection across the line containing line segment AR
D
a rotation about point cap A
7

What is the missing statement in the proof?

A
angle BCA is congruent to angle DCA
B
angle BAC is congruent to angle DEC
C
angle ACB is congruent to angle ECD
D
angle ACD is congruent to angle ECB
8

What additional information is needed to prove △QRS≅△XYZ by SAS? Enter your answers in the boxes.

Answer:

QS≅XZ|QR≅XY

9

Two rigid transformations are used to map triangle HJK to triangle LMN The first is a translation of vertex cap h to vertex cap l What is the second transformation?

A
a rotation about point cap k
B
a reflection across the line containing line segment HK
C
a reflection across the line containing line segment HJ
D
a rotation about point cap h
10

Can it be concluded that triangle RQS is congruent to triangle NTV by SAS? Why or why not?

A
Yes, one set of corresponding sides and one corresponding angle are congruent.
B
Yes, they are both right triangles.
C
No, it is necessary to know that another set of corresponding sides is congruent.
D
No, it is not possible for the triangles to be congruent.
11

Translate vertex cap w to vertex cap m , then reflect across the line containing _______________.

A
line segment WX
B
line segment XY
C
line segment MQ
D
line segment WY
12

Translate vertex cap w to vertex cap m , then reflect across the line containing _______________.

A
line segment WY
B
line segment XY
C
line segment WX
D
line segment MQ
13

If VX is equal to WZ is equal to 40 cm and m angle ZVX is equal to m angle XWZ is equal to 22 degrees , can triangle VZX and triangle WXZ be proven congruent by SAS? Why or why not?

A
Yes, along with the given information, line segment ZX is congruent to line segment ZX by the reflexive property.
B
No, the sides of the triangles intersect.
C
Yes, the triangles are both obtuse.
D
No, there is not enough information given.
14

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing line segment AB ?

A
Image with description Triangles A B C and X Y Z are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
B
Image with description Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C.
C
Image with description Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
D
Image with description Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C.
15

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing line segment AB ?

A
Image with description Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C.
B
Image with description Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C.
C
Image with description Triangles A B C and X Y Z are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
D
Image with description Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
16

What is the missing statement in the proof?

A
angle FEG is congruent to angle HJG
B
angle EGF is congruent to angle JGH
C
angle GFE is congruent to angle GHJ
D
angle GEF is congruent to angle JHG
17

Which of these triangle pairs can be mapped to each other using a single reflection?

A
Image with description Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.
B
Image with description Triangles F E G and M L N are congruent. Triangle F E G is shifted down and to the right to form triangle M L N.
C
Image with description Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.
D
Image with description Triangles F E G and F L G are congruent. Triangle F E G is reflected across line F G to form triangle F L G.
18

Two rigid transformations are used to map triangle ABC to triangle XYZ The first is a translation of vertex cap A to vertex cap x What is the second transformation?

A
a reflection across the line containing line segment AC
B
a reflection across the line containing line segment AB
C
a rotation about point cap b
D
a rotation about point cap A
19

Is triangle WXZ is congruent to triangle YZX ? Why or why not?

A
Yes, they are congruent by SAS.
B
No, there is only one set of congruent sides.
C
No, the triangles share side line segment XZ .
D
Yes, they are both right triangles.
20

Which of these triangle pairs can be mapped to each other using a single translation?

A
Image with description Triangles C E D and C N P are congruent. Triangle C E D is rotated about point C and then reflected across a line to form triangle C N P.
B
Image with description Triangles C E D and M P N are congruent. Triangle C E D is shifted to the right to form triangle M P N.
C
Image with description Triangles C E D and M P D are congruent. Triangle M P D is rotated and shifted up to form triangle C E D.
D
Image with description Triangles C N E and C D E are congruent. Triangle C N E is reflected across a line and then rotated slightly to form triangle C D E.

Did you find these answers helpful?

More from this Course

Quiz
19 verified answers

Quiz

Quiz
18 verified answers

Quiz

Quiz
46 verified answers

Quiz