Math, asked by mamta96433com, 5 months ago

State the one to one correspondence
of the vertices of the congruent
quadrilaterals WXYZ and DEFG. Name
the pairs of congruent sides.​

Answers

Answered by arushi200750
1

Answer:

Reflect

1. If you know that △ABC ≅ △DEF, what six congruence statements about

segments and angles can you write? Why?

2. Do your findings in this Explore apply to figures

other than triangles? For instance, if you know that

quadrilaterals JKLM and PQRS are congruent, can

you make any conclusions about corresponding

parts? Why or why not?

Explain 1 Corresponding Parts of Congruent Figures

Are Congruent

The following true statement summarizes what you discovered in the Explore.

Corresponding Parts of Congruent Figures Are Congruent

If two figures are congruent, then corresponding sides are congruent and

corresponding angles are congruent.

Example 1 △ABC ≅ △DEF. Find the given side length or angle measure.

 DE

Step 1 Find the side that corresponds to _

DE .

Since △ABC ≅ △DEF,

_

AB ≅

_

DE .

Step 2 Find the unknown length.

DE = AB, and AB = 2.6 cm,

so DE = 2.6 cm.

 m∠B

Step 1 Find the angle that corresponds to ∠B.

Since △ABC ≅ △DEF, ∠B ≅ ∠ .

Step 2 Find the unknown angle measure.

m∠B = m∠ , and m∠ = °, so m∠B = °.

L

K

M

J

R

Q

S

P

F E 42°

73°

65°

D

B C

A

2.6 cm

3.7 cm

3.5 cm

AB ¯≅ DE¯, ¯BC ≅ EF¯, ¯

AC ≅ DF¯, ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F. The rigid motions that map

△ABC to △DEF also map the sides and angles of △ABC to the corresponding sides and

angles of △DEF, which establishes congruence.

Yes; since quadrilateral JKLM is congruent to quadrilateral PQRS, there is a sequence of

rigid motions that maps JKLM to

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