In the accompanying diagram, ∠L ≅ ∠O, and N is the midpoint of $$\overline{LO}$$ .

Which theorem can be used to justify that ∆LMN is congruent to ∆OPN?

In the diagram shown, PS ∥ RU, PQ ⊥ RU, and ST⊥RU, and PR≅SU.

Which method is appropriate for proving ∆PRQ is congruent to ∆SUT?

In the accompanying diagram, CF≅DE, CF⊥FE, and DE⊥FE.

Which method can be used to prove ∆CEF≅∆DFE?

In the accompanying diagram, JL⊥ML, JL⊥JN, and K is the midpoint of MN. Which method can be used to prove ∆NKJ congruent to ∆MKL?

In the accompanying diagram of isosceles triangle ABC, ∠ABC is the vertex angle, BD is perpendicular to AC and D is the midpoint of AC.

Which statement can not be used to prove that ∆ABD is congruent to ∆CBD?

In the accompanying diagram of quadrilateral WRLO, diagonal WL bisects both ∠RWO and ∠RLO. Which method can be used to prove that ∆WRL is congruent to ∆WOL?

In the accompanying diagram, $$\overline{LO}$$ and $$\overline{MP}$$ intersect at N.

∠L is congruent to ∠O.

Which additional information is needed to show that ∆LMN is congruent to ∆PON?

In the given diagram, ∆CPQ, is isosceles with base, $$\overline{QP}$$ , and ∠APC≅∠BQC.

What method proves ∆AQP≅∆BPQ?

In the diagram below, $$\overline{DE}$$ $$\parallel$$ $$\overline{BC}$$

Which method can be used to show that ∆ADE is similar to ∆ABC?

In ∆LMN, point R is on $$\overline{LM}$$ , and point S is on $$\overline{MN}$$ , so that $$\overline{RS}$$ ∥ $$\overline{LN}$$

It is given that MS = 4, SN = 10cm, and LN = 21cm. What is the length of RS?

A 60-foot flagpole casts a shadow that is 35 feet long. A nearby building casts a shadow 140 feet long. What is the height, to the nearest foot, of the building?

If $$\overline{AD}$$ ∥ $$\overline{BC}$$ which of the following must be true?

In the diagram below,  $$\overline{DB}$$ and $$\overline{CA}$$  intersect at $$E$$ ,

and $$\overline{DA}$$ $$\parallel$$ $$\overline{CB}$$ .

Which technique can be used to prove $$\Delta DAE\$$ is similar to $$\Delta CBE$$ ?

Which equation can be used to solve for x?

In the accompanying diagram, $$\Delta ACB$$  is a right triangle,

$$\overline{CD}$$  is the altitude to hypotenuse $$\overline{AB}$$ ,  

AD=18 centimeters, and  DB=6 centimeters.

What is the length of CB?

In the diagram, the length of the legs $$\overline{AC}$$ and $$\overline{BC}$$  of the right triangle ABC are 9 centimeters and 12 centimeters respectively.

Altitude $$\overline{CD}$$ is drawn to the hypotenuse of triangle ABC.

What is the length of BD?