University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2020
Views:

409

Pages:

10
Author:

MoGhoadoAnotozj7

Name: Date: Class Review #2 - G.CO.10 SELECTED RESPONSE Select the correct answer. 1. In the proof shown here about equilateral triangle XYZ, what is the correct reason that can be used for Step 2 and Step 3? Given: XY ≅ YZ ≅ XZ Prove: ∠X ≅ ∠Y ≅ ∠Z Statements Reasons XY ≅ YZ ≅ XZ 1. Given ∠X ≅ ∠Y 2. ∠Y ≅ ∠Z 3. triangle with sides labeled ST, SU, and TU * A. The sum of the interior angles in a triangle is 180°. * B. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. * C. If two angles of a triangle are congruent, then the sides opposite those angles are congruent. 1 * D. SSS congruence criterion 2. Which of the following statements can be concluded from the given triangle? * A. m∠U = m∠T * B. US ≅ ST * C. ∆UST is an isosceles triangle. * D. m∠T = m∠S * E. ∆UST is an equilateral triangle. Match each statement in the proof with the correct reason. Given: AB ≅ AC, M is the midpoint of BC Prove: ∠B ≅ ∠C AB ≅ AC A BM ≅ MC B AM ≅ AM C ∆ABM ≅ ∆ACM D ∠B ≅ ∠C E A. Definition of midpoint B. SAS congruence criterion C. Corresponding parts of congruent triangles are congruent. D. SSS congruence criterion E. Definition of perpendicular bisector F. Given G. If a point is on the bisector of an angle, it is equidistant from the sides of the angle. H. Reflexive property of congruence Name: Date: Class CONSTRUCTED RESPONSE 12. Complete the following proof. B | | | A----|----C D Given: ABCD is a parallelogram. Prove: AB = CD, BC = AD **G.CO.12** SELECTED RESPONSE Select the correct answer. 1. What is the first step to copy AB onto the line shown here? B | | A____C * A. Use a straightedge to draw AB so it intersects the other line. * B. Open a compass to distance AB. * C. Use a ruler to measure AB. * D. Use a straightedge to draw AC. 2. Nina is using a compass and straightedge to divide LM into three congruent segments. In the drawing below, LX ≅ XY ≅ YZ. What is the next step in the construction? L_____X_____Y_____Z_____M * A. Draw a line parallel to ZM that passes through point Y. * B. Draw a line that passes through points Y and M. * C. Use a protractor to measure 1 CONSTRUCTED-RESPONSE 3. Describe the process of constructing a segment whose length is AB + CD. Justify the construction. Draw intersecting arcs from points P and Q. The line that contains R and the point of intersection is the perpendicular bisector. line segment AB and CD with intersecting arcs 4. a. Describe the next steps of the construction. Set compass to AB and draw an arc. Set compass to B, and draw an arc. Draw ray from A through intersection. b. Complete the construction to copy ∠XYZ. line m with point C and a constructed parallel line n 5. Construct line n parallel to line m that passes through point C. 6. What steps could be used to construct the altitude through point R of isosceles triangle PQR where PR ≅ QR? Justify your answer. Name: Date: Class G.CO.13 SELECTED RESPONSE Select the correct answer. 1. What is the first step when inscribing a regular hexagon in the circle below? * A. Set the compass to any distance. Then place the point of the compass at A and draw an arc that passes through any point on the circle. * B. Place the point of the compass at any point on the circle and draw an arc that passes through point A. * C. 1 1. hhsoberkofler.weebly.com hhsoberkofler.weebly.com Use the compass to record the radius of the circle. * D. Draw a segment from the center of the circle to point A. 2. After constructing a circle with center O, what is the next step when inscribing a square in the circle? * A. Without changing the compass, choose any point A on the circle, and draw an arc that intersects the circle. * B. Draw a diameter of circle O. * C. Draw a radius of circle O. * D. Draw a line through any two points on circle O. CONSTRUCTED RESPONSE 3. Explain why ABCD must have four congruent sides. OB, OC, OA, OD are all radii and < BOC, < COD, < DOA, < AOB all = 90° ΔAOB ≅ ΔBOC ≅ ΔCOD ≅ ΔDOA, so all sides are ≅ 4. Explain why all of the angles in ABCD are right angles. circle with a square inscribed inside ∠BOC, ∠COD, ∠DOA, ∠AOB all = 90° So all ∠s are 90°