Pre-Algebra, Unit 13 Practice Test: Angle Relationships and Transformations
Name:
Date: Define the terms below. Give an example. 1. complementary angles
2. vertical angles
3. translation
4. The measure of an interior angle of a regular n-gon is given by the formula
______.
Use the diagram shown to find the missing angle measures. 1 5. m�1 2 50° 6. m�2
7. m�3 3
8. If m行1 and m 2 are supplementary, what could their measures be?
A. m�1靶 110 , m = 2 60 B. m�1靶 89 , m = 2 91 C. m�1靶 55 , m = 2 55 D. m�1靶 52 , m = 2 38
Pre-Algebra Practice Test Unit 13: Angle Relationships and Transformations Page 1 of 5 9. (SE) Two angles are complementary. The measure of the first angle is four times the measure of the second angle. What is the measure of the larger angle?
A. 18° B. 36° C. 72° D. 144°
10. (SE) Parallel lines m and n are cut by a transversal t. Which statement is true? t A. 蠤2 8 蠤2 3 B. 2 m C. 蠤1 6 4 3 D. 蠤1 2 5 6 n 8 7
11. Parallel lines m and n are cut by a transversal t. In the diagram, 行3 and 5 are t A. alternate exterior angles. B. alternate interior angles. 2 m C. corresponding angles. 4 3 D. vertical angles. 5 6 n 8 7
12. (SE) Parallel lines m and n are cut by transversal t. Find the measure of A .
A. 43° B. 47° 47° m C. 133° D. 137° n A
t
13. Find the measure of an interior angle and the measure of an exterior angle for an octagon.
interior angle:______exterior angle:______
Pre-Algebra Practice Test Unit 13: Angle Relationships and Transformations Page 2 of 5 14. Find the values of x and y. 125° x°
y° x° 125°
15. (SE) What are the coordinates of Jⅱand K after JK is reflected across the y-axis? y A. J��3, 1 , K 1, 4 ( ) ( ) 5 B. J��( 3, 4) , K-( 1, 1) C. J�(1, � 1) , K ( 3, 4) D. J�(1, � 4) , K ( 3, 1) -5 J 5 x
K -5
16. Draw the line(s) of symmetry that the figure has.
There is (are) ______line(s) of symmetry.
17. (CRT) A student graphed triangle ABC on a coordinate plane, as shown below. y 10 The student translates the triangle 3 units to the B right and 5 5 units down. What ordered pair describes the A C location of point B after the triangle is translated? -10 -5 5 10 x A. 1,- 3 ( ) -5 B. (1, 3) C. (3,- 5) -10 D. (3, 5)
Pre-Algebra Practice Test Unit 13: Angle Relationships and Transformations Page 3 of 5 18. Determine the angle and direction of rotation about the origin for the following transformation. A′ A
y 19. The vertices of a polygon are given. Draw the 10 polygon. Then find the coordinates of the vertices of the image after a dilation having the scale factor of 3. Draw the image. 5 A(−1, 1), B(2, 1), C(3,−2), D(−3,−3)
-10 -5 5 10 x
-5
-10
20. Find the scale factor of the dilation. y 5 A
A′ B B′ ′ -5 5 x D′ C′ D C
-5
Pre-Algebra Practice Test Unit 13: Angle Relationships and Transformations Page 4 of 5 21. Let R(3, 1) be a point on a polygon, and R′ and R′′ be the corresponding points on a new image. The figure is dilated by a factor of 5 (R′), then translated by using (x, y) � ( x+ 1, y 4) to arrive at R′′. What are the coordinates of R′′ ?
22. (CRT) Tory drew a regular polygon on a piece of paper. She then bisected an angle of the polygon with a line and extended the line through the polygon. This created two polygons with the properties below. The sum of the interior angles in each polygon is 360°. Neither polygon has any pairs of parallel sides.
Make a sketch. Identify the original regular polygon that Tory drew.
Long Term Memory Review
23. (SE) What is the midpoint of the segment with endpoints (-5, 6) and ( 3, - 2) ?
24. (SE) The length of the base of an isosceles triangle is 16 meters. The triangle’s perimeter is 50 meters. What are the lengths of the other two sides? A. 14 m, 20 m B. 16 m, 16 m C. 16 m, 18 m D. 17 m, 17 m
25. (SE) Find the difference: (2y2- y - 5) -( - 2 y 2 + y - 3)
26. (SE) Find the product: 2x( 3 x3- 5 x 2 )
Pre-Algebra Practice Test Unit 13: Angle Relationships and Transformations Page 5 of 5