How to find if right triangles are congruent

Practice Questions

Basic Geometry › How to find if right triangles are congruent

Page 1 of 2

10 of 14

Figures and are triangles.

$\overline{AB}=\overline{A'B'}=\overline{BC}=\overline{B'C'}=\sqrt{2}, \overline{AC}=\overline{A'C'}=2$

Triangles_4

Are $\Delta ABC$ and $\Delta A'B'C'$ congruent?

Are the two right triangles congruent?

The hypotenuse and acute angle are given for several triangles. Which if any are congruent? Triangle A- Hypotenuse=15; acute angle=56 degrees. Triangle B- Hypotenuse=18; acute angle=56 degrees. Triangle C-Hypotenuse=18; acute angle= 45 degrees.

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\angle B$ and $\angle E$ are both right angles.

$\overline{AB} \cong \overline{BC}$

$\overline{DE} \cong \overline{EF}$

True or false: From the given information, it follows that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Are these right triangles congruent?

Congruent right triangles

Figures and are triangles.

$m\angle A=45^\circ, m\angle B=90^\circ, m\angle B'=90^\circ, m\angle C'=45^\circ$

$\overline{AB}=\overline{BC}=\overline{A'B'}=\overline{B'C'}=1, \overline{AC}=\overline{A'C'}=\sqrt{2}$

Triangles_4

Are $\Delta ABC$ and $\Delta A'B'C'$ congruent?

Figures and are triangles.

$\overline{AB}=\overline{A'B'}=\overline{BC}=\overline{B'C'}=1, \overline{AC}=\overline{A'C'}=\sqrt{2}$

Triangles_4

Are $\Delta ABC$ and $\Delta A'B'C'$ congruent?

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\angle B$ and $\angle E$ are both right angles.

$\overline{AB } \cong \overline{DE}$

$\overline{AC} \cong \overline{DF}$

True or false: From the above information, it follows that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Which of the following is not sufficient to show that two right triangles are congruent?

Which of the following pieces of information would not allow the conclusion that

$\bigtriangleup ABD\cong \bigtriangleup CBD$

Page 1 of 2

Return to subject