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Chapter 4: Q8 (page 119)

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

BO=___

Short Answer

Expert verified

The statement isBO=DO.

Step by step solution

01

Step 1. Apply the concept of congruent triangles.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped, and turned to be looked identical.

02

Step 2. Check the figure.

Consider the figure.

Here the corresponding parts ofΔABOandΔCDO are congruent such that their corresponding angles and sides are equal such thatΔABO≅ΔCDO.

03

Step 3. Step description.

Since two triangles are congruent then their corresponding angles and sides are equal, thereforeBO=DO.

Therefore, the statement isBO=DO.

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Most popular questions from this chapter

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

The pentagons shown are congruent. Complete.

If CA¯⊥LA¯,name two right angles in the figures.

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.

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