NAME if DATE

*ractice

Write the statement of the postuiate in symbols for the triangles shown at the right,

1. If sides bf one triangle are congruent to A D

three sides of a second triangle, then the two triangles are congrucni.

2. If two sides and the: included angle of one triangle H X

are congruent to two sides and the included angie of a second triangle, than the two triangles are congruent.

Decide whether enough information is given to show that the triangles are congruent. If so, state the congruence postulate you would use.

3. Reflexive Property of Congruence i 4.

10. What information is needed to use the SAS Congruence Postulate

to PIOV6 % ADFE?

TE. ‘Whai infonnation is needed to use the SSS Congruence Postulate

to prove AACB % LXDFE?

Fur use with pages 248M249

Show triangies are congruent using SSS and SAS.

A proof is a that shows why a statement is true.

Postulate 12 Side-Side-Side Congruence Postuiate (SSS)

If three sides of one triangle are congruent to thlee sides of a second irizuigie, than the {we triangles are congruent.

Postulate 13 Side-Angle-Side Congruence Postulate (SAS)

If two sides and the included angle of one triangie are congruent to

sides and the included angie of a second triangle, then E116) two irizmgles

are congment.

Use the $$5 Eangruence ostuiate

Does the diagmm give <-3:10L1gh information to use the SSS C0ng1uence Postuiate? Explain your 1'eas011ing. '

a. Proln the diagram, you know E 176‘ and E E K5. By the Reflexive Property, you know that E i AC. Because ail three pairs of corresponding sides are congruezn, you can use the SSS Co11gme:1ce to conciude {hat A ABC % A ADC.

b. You know that E15 E E and E6 E II . There is not enough infonnation provided to whetlqer the c011-espcmding third sides are congruent or not. S0, you cannot use the SSS Congruence Postulate.

Does the diagram give enough information to use the SSS Congruence Postuiate? Expiain your reasoning.