Name _______________________________________
Geometry Review Packet #4
Date _______________
Due 11/9
1) The ratio of the measures of two complementary angles is 5:4. What is the measure of the larger angle?
1.
20
2) 40
3) 50
4) 90
2) Which letter has both line and point symmetry?
1.
A
3) In the diagram, lines
2. S
and
3. Z
4. H
intersect at E.
If m∠AED = 3x + 11 and m∠CEB = 125,
find x.
1.
2.
3.
4.
19
38
42
55
4) Find the number of degrees in the measure of the base angle of an isosceles triangle whose vertex angle measures 70°.
1.
10
2. 55
3. 70
4. 180
5) Write in symbolic form the inverse of ~p → q.
1.
~q → p
2. q ~p
3. P  q 4) p  ~q
6) Let p represent “x > 5” and let q represent “x is a multiple of 3.” If x = 12, which statement is false?
1.
p q
2. ~q p
3. p → q 4. p ↔ q
7) In the diagram, lines BC, BAD, and CAE intersect to form ΔABC. If m∠ABC = 25 and m∠C = 90, find m∠DAE.
1. 35
2. 65
3. 115 4. 155
8) In the diagram, ΔR' S' T' is the image of ΔRST. Which type of transformation is shown in this diagram?
1. dilation
2. reflection
3. rotation
4. translation
1) If the angles of a triangle are represented by x, 3x + 20, and 6x, find the measure of each angle and classify the
triangle by its angles.
2) The measure of the vertex angle of an isosceles triangle is three times the measure of a base angle. Find the number
of degrees in the measure of a base angle.
3) The coordinates of point A are (−3a, 4b). If point A′ is the image of point A reflected over the line y = x, what are the
coordinates of A′ ?
4) As shown in the diagram below, you are given
bisects ∠BAD and ∠B≅ ∠D.
Prove ΔABC ≅ ΔADC?
5) What is the image of the point (0, 9) after reflection over the point (3, –6)?