Geometry Topic 2 Lines Angles and Triangles Study

Geometry Topic 2 Lines, Angles, and Triangles Study

Reporting Category Questions

MAFS. 912. G-CO. 3. 9

MAFS. 912. G-CO. 3. 9 Using the figure below, prove that vertical angles are congruent.

MAFS. 912. G-CO. 2. 8

MAFS. 912. G-CO. 3. 10

MAFS. 912. G-CO. 3. 10 Statements Reasons

MAFS. 912. G-CO. 2. 7 & MAFS. 912. G-CO. 2. 8

MAFS. 912. G-CO. 3. 10

MAFS. 912. G-CO. 3. 10 A billboard on level ground is supported by a brace, as shown in the accompanying diagram. The measure of angle A is 15° greater than twice the measure of angle B. Determine the measure of angle A and the measure of angle B.

MAFS. 912. G-CO. 2. 8 Statements Reasons

MAFS. 912. G-CO. 3. 9 A. B. C. D. 2. 5 4. 5 6. 25 8. 75

MAFS. 912. G-CO. 2. 8 Statements Reasons

MAFS. 912. G-CO. 4. 12 The picture to the right shows a construction of a line through a given point that is parallel to a given line. Which statement justifies why the constructed line is parallel to the given line? A. When two lines are each perpendicular to a third line, the lines are parallel. B. When two lines are each parallel to a third line, the lines are parallel. C. When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel. D. When two lines are intersected by a transversal and corresponding angles are congruent, the lines are parallel.

MAFS. 912. G-CO. 2. 7 What additional information is required in order to prove the two triangles are congruent using the provided justification? Use the set of choices in the box below. Select a side or angle and place it in the appropriate region. Only one side or angle can be placed in each region. ASA Postulate SAS Theorem

MAFS. 912. G-SRT. 2. 5

MAFS. 912. G-SRT. 2. 5 Consuela wants to determine the length of a power line that will be stretched over a lake. She cannot walk through the lake. She was able to take some measurements, hoping to determine the length of the power line. Her measurements are shown to the right. Consuela believes that the length of the power line is 625 feet, but she’s not sure how to explain this to her boss. Using what you know about triangle congruence, help Consuela by writing a paragraph proof to show why the length of the power line is 625 feet. _________________________________________________________________________

MAFS. 912. G-CO. 3. 10

MAFS. 912. G-CO. 3. 10

MAFS. 912. G-CO. 3. 10

MAFS. 912. G-SRT. 2. 5 Consider the two triangles shown.

MAFS. 912. G-CO. 4. 12 Lewis is inscribing a square in a circle. He is at this stage, select the option that best describes his next step: A. B. C. D. Connect point B and the arc with a straight edge. Use the arcs and the center A to form a perpendicular bisector. Using C as the center, draw an arc outside the circle. Ignore the arcs drawn and draw another on the circumference of the circle. B

MAFS. 912. G-CO. 3. 10 Two right triangles must be congruent if… A. B. C. D. an acute angle in each triangle is congruent. the lengths of the hypotenuses are equal. the corresponding legs are congruent. the areas are equal.

MAFS. 912. G-GPE. 2. 5

MAFS. 912. G-GPE. 2. 5

MAFS. 912. G-GPE. 2. 5

MAFS. 912. G-GPE. 2. 5

MAFS. 912. G-GPE. 2. 5

MAFS. 912. G-GPE. 2. 5

MAFS. 912. G-GPE. 2. 5