Exam Review

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write, not possible. I will lose weight if I eat a lot of vegetables. I lost weight.

Write the two statements that make up the following biconditional. I go to school if and only if my students make me.

Write the converse of the conditional: If a number is divisible by 10, then it is divisible by 5.

Complete the the statement: If a transversal intersects two parallel planes, then the… –…alternate interior angles are _____ –…the same side interior angles are _____ –…the same side exterior angles are ___ –…the corresponding angles are ___

Exterior angles The sum of the measures of two exterior angles of a triangle are 302 degrees. What is the measure of the third exterior angle?

Contrapositive Mrs. Thelen knows that the conditional “if students pay attention and come to school in Geometry, then they will do well.” Is the contrapositive true or false? Why?

Converse Conditional: If x = 5, then x 2 = 25. What is the truth value of the conditional? Write the converse. What is the truth value of the converse?

Regular Polygon Find the measures of an interior angle and an exterior angle of a regular heptagon.

Triangle Interior Angle Measures Find the values of u an v xy 32°

Point-Slope form Write an equation of a line in point-slope form that passes through the point (-5, 7) and has a slope of –4.

Isosceles Triangle The legs of an isosceles triangle have lengths 5x –10 and 4x + 2. The base has a length of 40x. What is the length of the base?

Find the values of u and v 132° 4y 2x

Circumference and Area Find the exact area and exact circumference of the circle below:

Angle Bisector Solve for x and the angle measure 5x - 2 4x + 14

Name the smallest angle of the triangle below

State the conclusions for the proof: M<ABC + m<BCD = M<ABD _____ 3x + 4(x –2) = 132 _____ 3x + 4x – 8 = 132____ 7x – 8 = 132 ____ 7x = 132 x = 19

Interior angles of a Parallelogram If m<1 is 42 degrees and m <2 = 58 degrees, then what is the measure of <DCB?

Indirect Proof Given: Triangle ABC is o

Name a pair of opposite rays

If AM = 5x + 2 and MB = 3x –2 and AB = 42, find x and MB

Triangle Inequality Two sides of a triangle are 5 and 11. What lengths are possible for the third side? Write your answer in the form of a compound inequality.

Distance Find the distance between points (4,5) and (-2, -6)

Counterexample Give a counterexample to the statement: “If you live in Grand Rapids, then you live in Michigan”

Triangle Interior Angles Write and solve an equation to find x.

Classify the triangle Classify a triangle with sides 5, 6, 7 by the number of sides. Classify a triangle with angle measures 42, 48, and 90 by angle measure.

Graph in standard form: Graph in standard form by using x and y intercepts: 6x – 3y = 24

Triangle Proofs What other information do you need in order to prove the triangles below are congruent?

Triangle Congruence Proofs From the information, can you prove that the two triangles at right are congruent? Given: M is the midpoint of the segment QT Why or why not?

Triangle Midsegments Find x.

Inverse Write the inverse of the statement: If I go to bed early, then I am happy in the morning.

Which statements contradict eachother? Triangle ABC is obtuse M < A = 102 degrees A, B, and C are collinear

Quadrilateral – Venn Diagram Which Venn Diagram is correct?

Be able to construct: Angle bisector Perpendicular bisector Parallel lines