Math 3 Unit 1 Test (Ch. 6)

In the figure $\overline{HG}\parallel\overline{EF}\ and\ \overline{HE}\parallel\overline{GF}$ . Which of the following would be included in the proof that shows  $\angle G\cong\angle E$ ?

• Draw diagonal $\overline{HF}$ and show that a pair of corresponding angles formed by the transversal are congruent.

• Draw diagonal $\overline{GE}$ and show that a pair of alternate exterior angles formed by the transversal are congruent.

• Draw diagonal $\overline{GE}$ and show that a pair of corresponding angles formed by the transversal are congruent.

• Draw diagonal  $\overline{HF}$  and show that a pair of alternate interior angles formed by the transversal are congruent.

Clarissa is writing a proof to show that the diagonals of a parallelogram bisect each other. She is using the figure above. Which of the following statements should be used in Clarissa’s proof?

• $\angle DEC\cong\angle BEA$

• $\overline{AB}\parallel\overline{CD}$

• $\overline{AE}=\overline{EC}$

• $\overline{AE}+\overline{ED}=\overline{BE}+\overline{EC}$

Juan used the theorem that states “the diagonals of a parallelogram bisect each other” to complete a proof. Parallelogram ABCD with diagonals DB and AC is shown above. According to the theorem, which statement about Parallelogram ABCD is true?

• AD=AB  and  BC=CD

• AC=DB  and  AB=BC

• AO=DO and  OC=OB

• AO=OC and  DO=OB

Look at the parallelogram above. Which statement must be true?

• The parallelogram has four equal angles.

• The parallelogram has only two equal angles.

• The parallelogram has two pairs of parallel sides.

• The parallelogram has four sides all the same size.

Which figure below is NEVER a parallelogram?

• rhombus

• square

• triangle

• rectangle

Which quadrilateral is NOT a parallelogram?

• kite

• square

• rhombus

• rectangle

The opposite sides of a parallelogram are congruent.

• True

• False

The figure is a parallelogram.

Solve for x.

• 1

• 11

• 7

• 6

Opposite angles of a parallelogram are

• Congruent

• Supplementary

• Complementary

• Parallel

The figure is a parallelogram.

Solve for x.

• 7

• 5

• 1

• 2