If a parallelogram is a rectangle, then the parallelogram has a right angle.

If a parallelogram is not a rectangle, then the parallelogram does not have right angle.

If a parallelogram does not have a right angle, then the parallelogram is not a rectangle.

If a parallelogram has a right angle, then the parallelogram is not a rectangle.

If two angles are not congruent, then they have the same measure.

If two angles are not congruent, then they don’t have the same measure.

If two angles have the same measure, then they are congruent.

If two angles don’t have the same measure, then they are not congruent.

If a segment is parallel to the third side of a triangle and is half its length, then it joins the midpoints of two sides.

If a segment joins two midpoints of a triangle, then it is not parallel to the third side.

If a segment is parallel to one side of a triangle, then it divides the other two sides into equal parts.

If a segment is half the length of one side of a triangle, then it must be a midsegment.

A line that is parallel to two parallel lines.

A transversal that forms 45° angle with two parallel lines.

A transversal that is perpendicular two parallel lines.

A line that has a slope that is the reciprocal of the slopes of two parallel lines.

Isosceles trapezoid

Rectangle

Rhombus

Square

A triangle with side lengths 2 cm, 3 cm, and 3 cm.

A triangle with side lengths 5 cm, 4 cm, and 5 cm.

A triangle with side lengths 6 cm, 6 cm, and 6 cm.

A triangle with side lengths 10 cm, 7 cm, and 10 cm.

A. $$\angle ABD \cong \angle CBD$$

B. $$\overline{AD} \cong \overline{BD}$$

C. $$\angle BAD \cong \angle CDB$$

D. $$\angle ADB \cong \angle CDB$$

I only

I and II

II and III

I, II, and III

RS ≅ PQ

RS ≅ RQ

RS ≅ ST

PS ≅ PT

triangle with two angles that measure 40°.

triangle with angles that measure 40° and 60°.

scalene triangle with only one angle that measures 100°.

isosceles triangle with only one angle that measures 40°

NM = 18

LM = 18

NM = 15

LM = 10

∠E ≅ ∠Y

∠G ≅ ∠Z

EF ≅ YX

FG ≅ XY

A. $$\overline{BD} \cong \overline{BD}$$ , Reflexive Property.

B. $$\overline{AD} \cong \overline{DC}$$ , Definition of midpoint.

C. $$\angle ADB \cong \angle CDB$$ , All right angles are congruent.

D. $$\angle A \cong \angle C$$ , Base angles of an isosceles triangle are congruent.

Reason 4: Symmetric Property of Congruence, Reason 5: Side-Angle-Side Congruence Theorem

Reason 4: Reflexive Property of Congruence, Reason 5: Hypotenuse-Leg Congruence Theorem

Reason 4: Reflexive Property of Congruence, Reason 5: Side-Side-Side Congruence Theorem

Reason 4: Symmetric Property of Congruence, Reason 5: Angle-Side-Angle Congruence Theorem

41°

30°

50°

60°

124°

90°

60°

45°

102°

90°

75°

60°

78°

60°

102°

90°

78°

60°

45°

90°

68°

45°

90°

120°

112°

90°

45°

68°

A. $$m\angle 2 = 90°$$

B. $$m\angle 6 = 90$$

C. $$m\angle 3 = m\angle 6$$

E. $$m\angle 3 + m\angle 4 = 90°$$

D. $$m\angle4+m\angle5=90°$$

E is the midpoint of CD.

E is the midpoint of AB.

Point D is equidistant from Points A and B.

Point B is equidistant from Points C and D.

Point C is equidistant from Points A and B.

x = 11

x = 10

x = 7

x = 13

$$\angle 1 \cong \angle 6$$ , $$\angle 3 \cong \angle 5$$

$$\angle 1 \cong \angle 6$$ , \angle 4 and \angle 5 are supplementary

$$\angle 1 \cong \angle 4$$ , \angle 1 and \angle 2 are supplementary

\angle 1 and \angle 3 are supplementary, \angle 1 and \angle 6 are supplementary

Reason 3: Definition of Complementary Angles Statement 4: m∠ABD + m∠ABC = m∠DBE + m∠EBC

Reason 3: Definition of Supplementary Angles Statement 4: m∠ABD + m∠ABC = m∠CBE + m∠EBC

Reason 3: Definition of Complementary Angles Statement 4: m∠ABD + m∠ABC = m∠CBE + m∠ABC

Reason 3: Definition of Supplementary Angles Statement 4: m∠ABD + m∠ABC = m∠CBE + m∠ABC