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Skills Practice - Deerlake Middle School

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NAME DATE PERIOD<br />

4-6<br />

<strong>Skills</strong> <strong>Practice</strong><br />

Isosceles and Equilateral Triangles<br />

Refer to the figure at the right.<br />

1. If −− AC −−− AD , name two congruent angles.<br />

2. If −−− BE −−− BC , name two congruent angles.<br />

3. If ∠EBA ∠EAB, name two congruent segments.<br />

A<br />

B<br />

E<br />

C<br />

D<br />

Lesson 4-6<br />

4. If ∠CED ∠CDE, name two congruent segments.<br />

Find each measure.<br />

5. m∠ABC 6. m∠EDF<br />

<br />

<br />

40°<br />

<br />

60°<br />

<br />

<br />

<br />

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.<br />

ALGEBRA Find the value of each variable.<br />

7.<br />

2x+4 3x-10<br />

9. PROOF Write a two-column proof.<br />

Given: CD −−− CG<br />

−−−<br />

−−−<br />

DE GF<br />

−−−<br />

Prove: CE −−− CF<br />

−−<br />

8.<br />

(2x+3)°<br />

C<br />

D<br />

E<br />

F<br />

G<br />

Chapter 4 39 Glencoe Geometry


NAME DATE PERIOD<br />

4-6<br />

<strong>Practice</strong><br />

Isosceles and Equilateral Triangles<br />

Refer to the figure at the right.<br />

1. If −−− RV −− RT , name two congruent angles.<br />

2. If −− RS −− SV , name two congruent angles.<br />

V<br />

S<br />

R<br />

U<br />

T<br />

3. If ∠SRT ∠STR, name two congruent segments.<br />

4. If ∠STV ∠SVT, name two congruent segments.<br />

Find each measure.<br />

<br />

50°<br />

5. m∠KML 6. m∠HMG 7. m∠GHM<br />

<br />

<br />

8. If m∠HJM = 145, find m∠MHJ.<br />

<br />

9. If m∠G = 67, find m∠GHM.<br />

<br />

10. PROOF Write a two-column proof.<br />

Given: DE −−− ‖ BC<br />

−−−<br />

∠1 ∠2<br />

Prove: AB −− AC<br />

−−<br />

11. SPORTS A pennant for the sports teams at Lincoln High<br />

<strong>School</strong> is in the shape of an isosceles triangle. If the measure<br />

of the vertex angle is 18°, find the measure of each base angle.<br />

A<br />

2<br />

E<br />

1<br />

D<br />

C<br />

3<br />

4<br />

B<br />

<br />

Lincoln Hawks<br />

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.<br />

Chapter 4 40 Glencoe Geometry

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