Geometry EOC Review: Part 2 Insights

What is the value of angle KSP in a parallelogram if one of the angles is 76 degrees?

• 52 degrees

• 76 degrees

• 104 degrees

• 38 degrees

In a parallelogram, if the diagonals bisect each other, what is the relationship between the segments created on these diagonals?

• They are parallel

• They are perpendicular

• They are congruent

• They are not congruent

In an isosceles trapezoid, how do the base angles compare?

• They are not equal

• They are congruent

• They are complementary

• They are supplementary

Which step is unnecessary when proving that two triangles within a parallelogram are congruent by SSS?

• None of the above

• Proving the sides are congruent

• Proving the angles are supplementary

• Using the reflexive property

What theorem justifies that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel?

• Vertical Angles Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

• Converse of the Same Side Interior Angles Theorem

What theorem is used to solve for variable 'x' in the triangle problem?

• Triangle Sum Theorem

• Sine Rule

• Angle Bisector Theorem

• Pythagorean Theorem

In the context of similar triangles, if triangle JMK is similar to triangle KML, what is the proportional relationship used to solve for 'x'?

• Side-Angle-Side (SAS) similarity

• None of the above

• Side-Side-Side (SSS) similarity

• Angle-Side-Angle (ASA) similarity

How is the height of the lamp post determined using the properties of similar triangles?

• By using the shadow length and Rachel's height

• None of the above

• By comparing the proportions of Rachel's height and her distance from the mirror

• By measuring the angle of elevation to the top of the post

Which transformation does not preserve the angle measure in the image?

• Reflection

• Rotation

• Dilation

• Translation

What is the result of the transformation that involves a dilation followed by a translation?

• A congruent figure

• A similar figure

• An enlarged figure with altered angles

• A reduced figure with preserved angles